Skyler is 104 miles away from Marcus. They are traveling towards each other. If Marcus travels 8 mph faster than skyler and they meet after 4 hours, how fast was each traveling?

Answers

Answer 1

Speed of skyler is 204 mph and speed of marcus is 212 mph

Solution:

Skyler is 104 miles away from Marcus

Therefore,

Distance = 104 miles

They meet after 4 hours

Time taken = 4 hours

Let "x" be the speed of sklyer

Marcus travels 8 mph faster than skyler

Therefore,

Speed of marcus = 8 + x

They are traveling towards each other

Since they are traveling towards each other, we can add up their speeds

Speed = x + 8 + x = 2x + 8

The distance is given by formula:

[tex]distance = \frac{speed}{time\ taken}\\\\104 = \frac{8+2x}{4}\\\\104 \times 4 = 8 + 2x\\\\8 + 2x = 416\\\\2x = 416-8\\\\2x = 408\\\\x = 204[/tex]

Thus speed of skyler = x = 204 mph

Speed of marcus = 8 + x = 8 + 204 = 212 mph

Thus speed of skyler is 204 mph and speed of marcus is 212 mph


Related Questions

Elle is buying new flooring for her kitchen
and laundry room. She knows that the
area of the kitchen is 132 square feet. The
laundry room is 8 1/3 feet by 6 3/4 feet. What is
the total area of the two rooms?

Answers

Answer:

The total area of the two rooms is 188.25 square feet

Step-by-step explanation:

Given:

Area of the kitchen = 132 square feet.

Dimension of the Laundry room =  8 1/3 feet by 6 3/4 feet.

To Find:

The total area of the two rooms = ?

Solution:

Area of the two rooms   =  Area of the kitchen + Area of the laundry room

Area of the two rooms   =    132 +  Area of the laundry room

Area of the laundry room  =[tex](8 \frac{1}{3}) \times (6 \frac{3}{4})[/tex]

Area of the laundry room  =[tex]\frac{25}{3} \times \frac{27}{4}[/tex]

Area of the laundry = [tex]\frac{675}{12}[/tex]

Area of the two rooms   =    [tex]132 + \frac{675}{12}[/tex]

Area of the two rooms   = 132 + 56.25

Area of the two rooms   = 188.25 square feet

Final answer:

The total area of Elle's kitchen and laundry room combined is 188.25 square feet. This is found by first calculating the area of the laundry room with given dimensions and then adding it to the area of the kitchen.

Explanation:

The question involves finding the total area of two rooms, given the area of one and the dimensions of the other. The kitchen has an area of 132 square feet. For the laundry room, we need to calculate the area by multiplying its length and width. The dimensions are 8 1/3 feet by 6 3/4 feet. To find the area, convert mixed numbers to improper fractions: 8 1/3 becomes 25/3 feet, and 6 3/4 becomes 27/4 feet. The area is then calculated as (25/3) * (27/4) square feet.

To compute this, multiply the numerators and denominators separately: (25*27) / (3*4) = 675 / 12, which simplifies to 56.25 square feet. Now, add the area of the laundry room to the area of the kitchen to get the total area of both rooms: 132 + 56.25 = 188.25 square feet. Therefore, the total area of the two rooms is 188.25 square feet.

A class will have 1 test and 5 homework assignments to complete. If the test is worth 80 points and each homework assignment is work 25% of the test, how many points may be earned during this unit?

Answers

Answer:

180 points.

Step-by-step explanation:

Given:

A class will have 1 test and 5 homework assignments to complete.

The test is worth 80 points.

Each homework assignment is work 25% of the test.

Question asked:

How many points may be earned during this unit ?

Solution:

By unitary method:

Points may be earned from 1 assignments = [tex]25\% of 80[/tex] (given)

                                                                       = [tex]\frac{25}{100} \times 80 = \frac{2000}{100} = 20[/tex]

Points may be earned from 5  assignments = [tex]5\times 20 = 100[/tex]

Points may be earned from 1 test = [tex]80[/tex]

Total points may be earned = 100 + 80 = 180

Therefore, 180 points may be earned during this unit.

WILL GIVE BRAINLIEST!?!?!!?!?!? WHATS 9+10?????

Answers

the answer to 9 + 10 is 19
9 + 10 is equal to 21

Use the distributive property to create an equivalent expression to 7x divided by 56 use GCF

Answers

Answer:

x/8

Step-by-step explanation:

7x/56=x/8

Questiul 4 15 points)
Laurie and Maya sold at most $50 worth of get-well and friendship cards. The
friendship cards, x, were sold for $2 each and the get-well cards, y, were sold for
$1.50 each. Which point represents a reasonable number of cards sold?

Answers

Answer:

2 dollars cuz ur poor

Step-by-step explanation:

Roger wants to buy 58 tennis balls. Estimate how many canisters he would have to buy if there are 3 tennis balls per canister by rounding the total number of tennis balls to the nearest tens place.

Answers

20 canisters

Step-by-step explanation:

Long divide the 58 by 3 to get 19.3 repeating. Then round off to 20. Hope this helps!

Final answer:

After rounding 58 tennis balls to the nearest ten, Roger would need to buy approximately 20 canisters, with each canister containing 3 tennis balls.

Explanation:

Roger wants to buy 58 tennis balls and needs to estimate how many canisters he would have to buy if there are 3 tennis balls per canister. To estimate, we round the total number of tennis balls to the nearest tens place. Rounding 58 to the nearest ten gives us 60. To find the number of canisters needed, we divide the rounded number of tennis balls by the number of balls per canister:

60 ÷ 3 = 20 canisters

Therefore, Roger would need to buy approximately 20 canisters to have around 60 tennis balls.

What is 2 = f - 27.

Answers

Answer:

F=29

Step-by-step explanation:

27+2

Answer:

f=29

Step-by-step explanation:

can someone help me one the questions I have not answered?

Answers

                             Q # 1

Answer:

[tex]\mathrm{Prime\:factors\:of\:}391:\quad 17,\:23[/tex] 391 = 17×23391 is not a Prime Number

Explanation:

391

[tex]391\:\mathrm{divides\:by}\:17\quad \:391=23\cdot \:17[/tex]

[tex]=17\cdot \:23[/tex]

17, 23 are all prime number. So no further factorization possible

[tex]=17\cdot \:23[/tex]

So,

[tex]\mathrm{Prime\:factors\:of\:}391:\quad 17,\:23[/tex] 391 = 17×23391 is not a Prime Number                                                 Q # 3

Answer:

[tex]\mathrm{Prime\:factors\:of\:}291:\quad 3,\:97[/tex]291 = 3×97291 is not a Prime Number

Explanation:

291

[tex]291\:\mathrm{divides\:by}\:3\quad \:291=97\cdot \:3[/tex]

[tex]=3\cdot \:97[/tex]

3, 97 are all prime number. So no further factorization possible

[tex]=3\cdot \:97[/tex]

So,

[tex]\mathrm{Prime\:factors\:of\:}291:\quad 3,\:97[/tex]291 = 3×97291 is not a Prime Number                            Q # 4

Answer:

[tex]\mathrm{Prime\:factors\:of\:}37:\quad 37[/tex]37=37Yes, 37 is a Prime Number  

Explanation:

37

37 is a prime number. So no further factorization possible

[tex]=37[/tex]

So,

[tex]\mathrm{Prime\:factors\:of\:}37:\quad 37[/tex]37=37Yes, 37 is a Prime Number                                                                                                Q # 6

Answer:

[tex]\mathrm{Prime\:factors\:of\:}411:\quad 3,\:137[/tex]411 = 3×137 411 is not a Prime Number

Explanation:

411

[tex]411\:\mathrm{divides\:by}\:3\quad \:411=137\cdot \:3[/tex]

[tex]=3\cdot \:137[/tex]

3, 137 are all prime number. So no further factorization possible

[tex]=3\cdot \:137[/tex]

So,

[tex]\mathrm{Prime\:factors\:of\:}411:\quad 3,\:137[/tex]411 = 3×137 411 is not a Prime Number                                Q # 7

Answer:

[tex]\mathrm{Prime\:factors\:of\:}387:\quad 3,\:43[/tex]387 = 3×3×43387 is not a Prime Number

Explanation:

387

[tex]387\:\mathrm{divides\:by}\:3\quad \:387=129\cdot \:3[/tex]

[tex]=3\cdot \:129[/tex]

[tex]129\:\mathrm{divides\:by}\:3\quad \:129=43\cdot \:3\\=3\cdot \:3\cdot \:43[/tex]

3, 43 are all prime number. So no further factorization possible

[tex]=3\cdot \:3\cdot \:43[/tex]

So,

[tex]\mathrm{Prime\:factors\:of\:}387:\quad 3,\:43[/tex]387 = 3×3×43387 is not a Prime Number                                           Q # 9

Answer:

[tex]\mathrm{Prime\:factors\:of\:}113:\quad 113[/tex]113 = 113Yes, 113 is a Prime Number

Explanation:

113

113 is a prime number. So no further factorization possible

[tex]=113[/tex]

So,

[tex]\mathrm{Prime\:factors\:of\:}113:\quad 113[/tex]113 = 113Yes, 113 is a Prime Number                                               Q # 16

Answer:

[tex]\mathrm{Prime\:factors\:of\:}293:\quad 293[/tex]293 = 293 Yes, 293 is a Prime Number

Explanation:

293

[tex]\mathrm{Prime\:factors\:of\:}293:\quad 293[/tex]

[tex]=293[/tex]

[tex]293\mathrm{\:is\:a\:prime\:number,\:therefore\:no\:factorization\:is\:possible}[/tex]

[tex]=293[/tex]

So,

[tex]\mathrm{Prime\:factors\:of\:}293:\quad 293[/tex]293 = 293 Yes, 293 is a Prime Number                             Q # 17

Answer:

[tex]\mathrm{Prime\:factors\:of\:}451:\quad 11,\:41[/tex]451=11×41 451 is not a Prime Number

Explanation:

451

[tex]451\:\mathrm{divides\:by}\:11\quad \:451=41\cdot \:11[/tex]

[tex]=11\cdot \:41[/tex]

11, 41 are all prime number. So no further factorization possible

[tex]=11\cdot \:41[/tex]

So,

[tex]\mathrm{Prime\:factors\:of\:}451:\quad 11,\:41[/tex]451=11×41 451 is not a Prime Number                       Q # 18

Answer:

[tex]\mathrm{Prime\:factors\:of\:}459:\quad 3,\:17[/tex]459 = 3×3×3×17459 is not a Prime Number

Explanation:

459

[tex]459\:\mathrm{divides\:by}\:3\quad \:459=153\cdot \:3[/tex]

[tex]=3\cdot \:153[/tex]

[tex]153\:\mathrm{divides\:by}\:3\quad \:153=51\cdot \:3[/tex]

[tex]=3\cdot \:3\cdot \:51[/tex]

[tex]51\:\mathrm{divides\:by}\:3\quad \:51=17\cdot \:3[/tex]

[tex]=3\cdot \:3\cdot \:3\cdot \:17[/tex]

3, 17 are all prime number. So no further factorization possible

[tex]=3\cdot \:3\cdot \:3\cdot \:17[/tex]

So,

[tex]\mathrm{Prime\:factors\:of\:}459:\quad 3,\:17[/tex]459 = 3×3×3×17459 is not a Prime Number                       Q # 19

Answer:

[tex]\mathrm{Prime\:factors\:of\:}385:\quad 5,\:7,\:11[/tex]385 = 5×7×11385 is not a Prime Number

Explanation:

385

[tex]385\:\mathrm{divides\:by}\:5\quad \:385=77\cdot \:5[/tex]

[tex]=5\cdot \:77[/tex]

[tex]77\:\mathrm{divides\:by}\:7\quad \:77=11\cdot \:7[/tex]

[tex]=5\cdot \:7\cdot \:11[/tex]

5, 7, 11 are all prime number. So no further factorization possible

[tex]=5\cdot \:7\cdot \:11[/tex]

So,

[tex]\mathrm{Prime\:factors\:of\:}385:\quad 5,\:7,\:11[/tex]385 = 5×7×11385 is not a Prime Number                    Q # 20

Answer:

[tex]\mathrm{Prime\:factors\:of\:}162:\quad 2,\:3[/tex]162 = 2×3×3×3×3 162 is not a Prime Number

Explanation:

162[tex]162\:\mathrm{divides\:by}\:2\quad \:162=81\cdot \:2[/tex][tex]=2\cdot \:81[/tex][tex]81\:\mathrm{divides\:by}\:3\quad \:81=27\cdot \:3[/tex][tex]=2\cdot \:3\cdot \:27[/tex][tex]27\:\mathrm{divides\:by}\:3\quad \:27=9\cdot \:3[/tex][tex]=2\cdot \:3\cdot \:3\cdot \:9[/tex][tex]9\:\mathrm{divides\:by}\:3\quad \:9=3\cdot \:3[/tex][tex]=2\cdot \:3\cdot \:3\cdot \:3\cdot \:3[/tex][tex]2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}[/tex][tex]=2\cdot \:3\cdot \:3\cdot \:3\cdot \:3[/tex]

So,

[tex]\mathrm{Prime\:factors\:of\:}162:\quad 2,\:3[/tex]162 = 2×3×3×3×3 162 is not a Prime Number

Keywords: prime factor

Learn more about prime factor from brainly.com/question/387724

#learnwithBrainly

Anton's family drove 216 mi to the lake averaging 48 ​ mi/h ​ . On the return trip home they averaged 54 mi/h .

What was the total time that Anton's family spent driving to and from the lake?

Answers

The total time that Anton's family spent driving to and from the lake is 8.5 hours

Solution:

Time taken is given by formula:

[tex]Time = \frac{distance}{speed}[/tex]

Anton's family drove 216 mi to the lake averaging 48 ​ mi/h

⇒ Anton's family drove total distance = 216 mi les

⇒ Speed of Antony's family driving to lake = 48 miles per hour

[tex]Time = \frac{216}{48} = 4.5[/tex]

Therefore, time taken to drive to lake is 4.5 hour

On the return trip home they averaged 54 mi/h

[tex]Time = \frac{216}{54} = 4[/tex]

Therefore, time taken to return home is 4 hours

Total time = 4.5 + 4 = 8.5 hours

Thus the total time that Anton's family spent driving to and from the lake is 8.5 hours

4√6 •√3 how do I show work for this because the answer is 2√12​

Answers

Answer:

[tex]4 \sqrt{6} \times \sqrt{3} = 12 \sqrt{2} [/tex]

Step-by-step explanation:

We want to simplify the radical expression:

[tex]4 \sqrt{6} \times \sqrt{3} [/tex]

We write √6 as √(2*3).

This implies that:

[tex]4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2 \times 3} \times \sqrt{3} [/tex]

We now split the radical for √(2*3) to get:

[tex]4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times \sqrt{3} \times \sqrt{3} [/tex]

We obtain a perfect square at the far right.

[tex]4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times (\sqrt{3} )^{2} [/tex]

This simplifies to

[tex]4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times 3[/tex]

This gives us:

[tex]4 \sqrt{6} \times \sqrt{3} = 4 \times 3 \sqrt{2} [/tex]

and finally, we have:

[tex]4 \sqrt{6} \times \sqrt{3} = 12 \sqrt{2} [/tex]

Nara multiplied two whole numbers together to equal a product of 90.
Then she accidentally spilled ketchup on her work.

Select the three responses below that could be one of the numbers Nara multiplied.

Answers

Answer:

30×3=90 10×9=90 45×2=90 . .

Answer: 5, 10, 18

Step-by-step explanation:

How many times can 27 go into 224

Answers

27 can go into 224 8 times, it has a remainder of 8
8.29 times if you want to be exact

She gave 1/3 of cookies for her husband 1/4 of the cookies to her son and 1/6 of a cookies to her neighbor she ate the remaining six cookies how many cookies did she make

Answers

She made 15 cookies

Solution:

Let "x" be the number of cookies she made

She gave 1/3 of cookies for her husband

Therefore,

[tex]Husband = \frac{1}{3}x[/tex]

Find the remaining

[tex]Remaining = x - \frac{x}{3} = \frac{3x-x}{3} = \frac{2x}{3}[/tex]

1/4 of the cookies to her son

Therefore,

[tex]son = \frac{1}{4} \times \frac{2x}{3} = \frac{x}{6}[/tex]

Now again find the remaining

[tex]Remaining = \frac{2x}{3} - \frac{x}{6} = \frac{x}{2}[/tex]

1/6 of a cookies to her neighbor

[tex]Neighbor = \frac{1}{6} \times \frac{x}{2} = \frac{x}{12}[/tex]

Now again find the remaining

[tex]Remaining = \frac{x}{2} - \frac{x}{12} = \frac{5x}{12}[/tex]

She ate the remaining six cookies

Therefore,

[tex]\frac{5x}{12} = 6\\\\5x = 72\\\\x = 14.4[/tex]

Thus she made approximately 15 cookies

Plz help now for 30 points k

Answers

Find total of non blue socks:

7 + 8 + 4 = 19

There are 9 blue socks.

Ratio is blue / non blue = 9/19


Solve this equation 3x4x4x15-14+1= ?

Answers

Answer:

my answer is 707

Step-by-step explanation:

i used a calculator lol

Answer:

707

Step-by-step explanation:

2453 minus 249 equals

Answers

Answer: 2,204

Step-by-step explanation:

Final answer:

To solve 2453 minus 249, align the numbers by place value and subtract each column starting from the rightmost digit, borrowing where necessary. The result of 2453 minus 249 is 2204.

Explanation:

The question is a basic arithmetic problem involving subtraction. The task is to subtract 249 from 2453. We write the numbers in column form, aligning the units, tens, hundreds, and thousands places properly:



2453
-  249
------



We start subtracting from the rightmost digit (units place) and proceed to the left:



Finally, subtract in the thousands place: 2 minus 0 is 2.



After completing the subtraction, we have the result:



2204



Therefore, 2453 minus 249 equals 2204.

What is the answer to this 4×3^2?

Evaluate the expression. ​

Answers

The answer to this question is 36

Answer:

36

Step-by-step explanation:

The first thing to simplify is the Exponents

3^2 means 3 multiplied by it self 2 times

3×3=9

4×3^2

4×9

36

Suppose h(t)= -0.2 + 2t models the height, in feet, of a ball that is kicked into the air where t is given as time in seconds

Answers

The maximum height of the ball is found at 64 feet

Explanation:

Hello! remember to write complete and clear questions in order to get good and exact answers. I've found a similar question so I have written it in a comment above. We know that h(t) models the height, in feet, of a ball that is kicked into the air where t is given as time in seconds. This equation follows a quadratic function so from math we know that the maximum or minimum of this type of functions is found at the vertex of its graph. So:

[tex]f(x)=ax^2+bx+c \\ \\ \\ Vertex \ (h,k): \\ \\ h=-\frac{b}{2a} \\ \\ k=f(-\frac{b}{2a}) \\ \\ \\ Our \ function \ is: \\ \\ h(t)=-16t^2+64t \\ \\ \\ Comparing: \\ \\ a=-16 \\ \\ b=64 \\ \\ c=0 \\ \\ \\ h=-(\frac{64}{2(-16)})=2 \\ \\ k=-16(2)^2+64(2) \\ \\ k=64[/tex]

Finally, the maximum height of the ball is found at 64 feet

Learn more:

Volume of a box: https://brainly.com/question/10501080

#LearnWithBrainly

What is the radius of a
cylinder with a diameter of
36?

Answers

Answer:

radius=diameter÷2=36÷2=13

Yo sup??

diameter=2*radius

36=2 r

r=18

therefore the radius is 18 units

Hope this helps

I need help with this asap.

4a, b, c

Answers

A large tray of sardines cost €33.5A 3 kg bag of squid cost €16.5A 2kg box of mussels cost €9.5

Explanation:

From this problem, we know that during the weekend Fiona bought some frozen seafood at the market. She bought the following things:

A large tray of sardinesA 3 kg bag of squidA 2kg box of mussels

Let:

x: The large tray of sardines

y: The 3 kg bag of squid

z: The 2kg box of mussels

Then, we have the following information:

The sardines and the squid cost €50:

[tex]x+y=50 \ ... \ eq1[/tex]

The sardines and the mussels cost €43:

[tex]x+z=43 \ ... \ eq2[/tex]

The squid and the mussels cost €26:

[tex]y+z=26 \ ... \ eq3[/tex]

Isolating x from eq 1 and substituting into eq 2:

[tex]From \ eq1: \\ \\ x=50-y \\ \\ \\ Substituting \ into \ eq2: \\ \\ (50-y)+z=43 \\ \\ -y+z=43-50 \\ \\ -y+z=-7 \ ... \ eq4[/tex]

Adding eq3 and eq4:

[tex]\ \ y+z=26 \\ \\ -y+z=-7 \\ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \\ \\ 2z=19 \\ \\ z=9.5[/tex]

From eq 3:

[tex]y+z=26 \\ \\ y+9.5=26 \\ \\ y=26-9.5 \\ \\ y=16.5[/tex]

From eq 1:

[tex]x=50-y \\ \\ x=50-16.5 \\ \\ x=33.5[/tex]

Finally:

A large tray of sardines cost €33.5A 3 kg bag of squid cost €16.5A 2kg box of mussels cost €9.5

Learn more:

Solving systems of linear equations: https://brainly.com/question/13799715

#LearnWithBrainly

Lesson 12 Homework
A rectangular garden has a total area of 48 square yards. Draw and label two possible rectangular
gardens with different side lengths that have the same area.
on the fifth figure in​

Answers

See picture for solution to your problem.

Question is in the problem, help please

Answers

Answer:

π units²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ← r is the radius

Here diameter d = 2, thus r = 2 ÷ 2 = 1, thus

A = π × 1² = π × 1 = π units² ← exact solution

or A = 3.14 units² ← as a decimal

Find the value of x and explain please
ANSWER ASAP!!!!!!!!!!!!!!!!!

Answers

Answer:

y = - 4

Step-by-step explanation:

Given

y = 2 - 9x ← substitute x = [tex]\frac{2}{3}[/tex]

y = 2 - ( 9 × [tex]\frac{2}{3}[/tex] ) ← cancel the 9 and 3 by 3

  = 2 - (3 × 2 )

  = 2 - 6

  = - 4

What is the answer to this equation
3 3/7 + 4 5/7=

Answers

Conversion a mixed number 3 3
7
to a improper fraction: 3 3/7 = 3 3
7
= 3 · 7 + 3
7
= 21 + 3
7
= 24
7


To find new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7
7
= 21
7

b) Add the answer from previous step 21 to the numerator 3. New numerator is 21 + 3 = 24
c) Write previous answer (new numerator 24) over the denominator 7.

Three and three sevenths is twenty-four sevenths
Conversion a mixed number 4 5
7
to a improper fraction: 4 5/7 = 4 5
7
= 4 · 7 + 5
7
= 28 + 5
7
= 33
7


To find new numerator:
a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7
7
= 28
7

b) Add the answer from previous step 28 to the numerator 5. New numerator is 28 + 5 = 33
c) Write previous answer (new numerator 33) over the denominator 7.

Four and five sevenths is thirty-three sevenths
Add: 24
7
+ 33
7
= 24 + 33
7
= 57
7

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - twenty-four sevenths plus thirty-three sevenths = fifty-seven sevenths.

Answer:

8  1/7

Step-by-step explanation:

First,you take 3 and 3/7 and line it up with 4 and 5/7 and first you add your whole numbers which come before the fractions and get 7.Next,you add the fractions and get 8/7. Now you know it needs symplified because its an improper fraction. To symplify you have to × or ÷ and whatever one you do you have to do it to both the numerator and denominator. If you divide 8÷7=1 R1  7÷7=1.  Last add 7+1+1/7=8 1/7.

What is the value of the function FX equals 4X +9 when X equals

Answers

I don’t have what x equals so I can’t solve without what x equals
You have the answer you can’t make it smaller

9. A relation contains the points ( -5,-10),( -2,-4)(-1,-2),(4,8) and (5,10) . Is this a function? Explain. (2 points)

Answers

Answer:

Yes it is a function given by f(x) = 2x

Step-by-step explanation:

Any function can approximated as series or a polynomial. For example,

[tex]e^{x} = 1 + \frac{x}{1!} + \frac{x^{2}}{2!} + \frac{x^{3}}{3!} ...[/tex]    (exponential function)

(n! or n factorial is equal to n(n-1)(n-2)...3.2.1 ;  3! = 3.2.1 = 6)

and for the series to converge(the sum does not go to infinity), higher order terms must tend to zero.

General form of a polynomial/series: [tex]f(x) = a + bx +cx^{2} + ...[/tex]

For the given set of points, we can start with the straight line equation:

[tex]f(x) = y = a + bx[/tex]    ........(1)

Let us take two points from the given relation: (-5, -10), (-1, -2)

and put the respective x and y values in equation (1), we get two equations, which we can then solve simultaneously to get values of [tex]a[/tex] and [tex]b[/tex]:

[tex]-10=a-5b[/tex]    ........(2)

[tex]-2=a-b[/tex]    ..........(3)

Now (3) - (2) gives us: [tex]b=2[/tex] and putting the value of [tex]b[/tex] in any of the above equation gives us [tex]a=0[/tex]

Hence, we get the equation, [tex]f(x)=y=2x[/tex]

It can be seen that all the given points satisfies this relation and since we get a unique [tex]y[/tex] for every [tex]x[/tex], we can call this a function.

Final answer:

The provided relation is a function because each x-value is unique and maps to exactly one y-value, fulfilling the criterion that every element of the domain is associated with exactly one element of the range.

Explanation:

The question asks if a relation containing the points (-5,-10), (-2,-4), (-1,-2), (4,8), and (5,10) is a function. To determine if this relation is a function, we need to examine if any x-value (the first number in each pair) repeats with a different y-value (the second number in each pair). Upon inspection, we see that each x-value is unique to a single y-value, which means that each element of the domain maps to a unique value in the range. Therefore, we can conclude that this relation is indeed a function.

In general, a function is defined as a relation in which every element of the domain (set of all first elements) is associated with exactly one element of the range (set of all second elements). This criterion is met in the relation provided as each x-value is unique and paired with only one y-value.

Write an expression with two terms. 1 term should have a coefficient with a variable and the other term should be constant. Name the coefficient, the variable, and the constant in the expression. Then write a word phrase for your expression.
________________________________________________________________________________________________________________________________________

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

The 2 would be the coefficient with x as a variable, and the 5 would be the constant.

At the beginning of the day Jessica had 5 dollars (constant), and for every hour she worked (variable), she made 2 dollars (coefficient).

An example of an expression with two terms is 3x + 5, where 3 is the coefficient, x is the variable, and 5 is the constant. A word phrase for this expression is "Three times a number plus five."

An example of an expression with two terms where one term has a coefficient with a variable and the other term is constant is:

3x + 5

In this expression:

The coefficient is 3.

The variable is x.

The constant is 5.

A word phrase for this expression could be: "Three times a number plus five."

In a triangle, one angle measures 68° and another
angle measures 38°. What is the measure of the third
angle?​

Answers

Answer:

74°

Step-by-step explanation:

all angles of a triangle will always end up equal to 180°

68 + 38 = 106

180 - 106 = 74

SHOW ALL WORK: Graph each lineby plotting its intercepts or by using the y intercept and slope. {2x-y=4 {3y-3x=6

Answers

Answer:

x-y=-2

Step-by-step explanation:

Divide both sides if the equations by 3.

(3y-3x)÷3=6÷3

y-3x÷3=2

calculate the quotient

y-x=2

multiply both sides of the equation bub -1

-1x(-x)-1y=-1x2

any expression multiplied by -1

x-1y=-1x2

any expression multiplied by 1 remains the same.

x--y=-1x2

x-y=-2

Maddy made $22.50 for babysitting for 5 hours for her aunt. Maddy was paid $21.00 for 3.5 hours of babysitting for her neighbor. How much more per hour does Maddy’s neighbor pay than her aunt?

Answers

Answer:Her Aunt paid her 4.50 and hour and her neighbor 6 an hour. The difference is 1.5

Step-by-step explanation:

Other Questions
Please help me dont ignore. Due today at 1:00. Just these three questions, please show your work and give me the correct answer. Like you doing the math on paper. Thank you! An interest buydown program offers to reduce interest rates by 4% from the base rate. Suppose the base rate for a loan of $8000 is 8% for 10 years. What is the monthly payment before and after the buydown? In this case, use monthly compounding, that is, the term is 120 payment periods, and the interest per month is 0.667% before and 0.333% after the buydown. Local Co. has sales of $ 10.2 million and cost of sales of $ 5.7 million. Its selling, general and administrative expenses are $ 550 comma 000 and its research and development is $ 1.2 million. It has annual depreciation charges of $ 1.1 million and a tax rate of 35 %. a. What is Local's gross margin? b. What is Local's operating margin? c. What is Local's net profit margin? a. What is Local's gross margin? Local's gross margin is nothing%. (Round to one decimal place.) b. What is Local's operating margin? Local's operating margin is nothing%. (Round to one decimal place.) c. What is Local's net profit margin? Local's net profit margin is nothing%. (Round to two decimal places.) Researchers believe that the size difference between male and female brains results from the influence of: a. gender identity. b. progesterone. c. testosterone and estrogen. d. Wolffian inhibiting hormone. At Jefferson High School, there are 325 students who drive to school 400 students that ride the bus to school. The number of students who drive to school is % of the number of students who ride the bus to school. a baseball has a diameter of 3 inches.Calculate the volume Select the correct answer. What is heat of vaporization? A. It is the heat required to change a substances temperature by 1C. B. It is the heat required to change a gram of substance from a solid to a liquid. C. It is the heat required to change a substance from a solid directly to a gas. D. It is the heat required to change a gram of substance from a liquid to a gas. E. It is the heat required to separate one substance into two substances. Assume that your parents wanted to have $100,000 saved for college by your 18th birthday and they started saving on your first birthday. They saved the same amount on your birthday and earned 8.0% per year on their investments.A. How much would they have to save each year to reach their goal?B. If they think you will take five years instead of four to graduate to graduate and decide to have $140,000 saved just in case, how much more would they have to save each year to reach their new goal? . During 20X9, Alpha Co. purchased debt securities classified as trading securities. At the end of 20X9, the market value of Alphas investment in debt securities exceeded the amortized cost. Alpha should report the debt securities on its 20X9 balance sheet atMultiple Choicea. Amortized costb. Market valuec. Costd. Lower of cost or market State the number of solutions for Matrix B. a. No Solution b. One Solution c. Infinitely Many Solutions An electric motor exerts a constant torque of 10 Nm on a grindstone mounted on its shaft. The moment of inertia of the grindstone is I = 2.0 kgm2 . The system starts from rest. A. Determine the angular acceleration of the shaft when this torque is applied. B. Determine the kinetic energy of the shaft after 8 seconds of operation. C. Determine the work done by the motor in this time. D. Determine the average power delivered by the motor over this time interval The walking track at one fitness center is a 2/5 mile loop. If Kara walks around the track 8 1/2 times, how many miles does Kara walk? A 3 2/5 miles B 4/85 miles C 8 9/10 miles D 21 1/4 miles A stethoscope is an acoustic medical device for listening to the internal sounds of an animal or human body. This device falls into two different sensor categories: the non-invasive and the contact-based categories. True or False? Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?y = one-fifth x squared + six-fifths x + eleven-tenthsy = 3 plus-or-minus StartRoot 5 x + seven-halves EndRootNegative 5 y minus 4 = negative (x + 3) squared minus one-halfy = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot A first order reaction has a rate constant of 0.816 at 25 oC. Given that the activation energy is 22.7 kJ/mol, calculate the rate constant at 34 oC. (enter answer to 3 decimal places) What are the equations of the asymptotes of the graph of the function f (x) = StartFraction 3 x squared minus 2 x minus 1 Over x squared + 3 x minus 10 EndFraction? u are holding the axle of a bicycle wheel with radius30 cm and mass 1.05 kg. You get the wheel spinning at arate of 77 rpm and then stop it by pressing the tire againstthe pavement. You notice that it takes 1.37 s for the wheelto come to a complete stop. What is the angular accelerationof the wheel Shawn claims that he multitasks very effectively, and also says that he actually performs better while multitasking than when doing a single task. You ask Shawn to test this claim. Shawn reads a newspaper article while listening to a baseball game, and then reads another article in silence. Based on research on multitasking, when you time Shawn's reading speed and test his comprehension, you are likely to find that his reading is A) both slower and less accurate when listening to the game b) faster slower and less accurate when listening to the game c) Both d) NOne of these Which event signals the birth of a star? What is the practice of issuing proof of compliance with regulations through inspection?O standardizingcredentialingO acquiescenceO licensure