Mathematics High School

How many solutions can be found for the set of linear equations? 7(x + 2) and 7x + 14
a.no solution
b.one solution
c.two solutions
d.infinite many solutions?

Answers

Answer 1
7(x + 2) = 7x + 14...and 7x + 14

there will be infinite solutions because these 2 equations are the same line
Answer 2

Answer:

infinite

Step-by-step explanation:

same line

Related Questions

-0.785714286 as a fraction

Answers

- 392857143/500000000

?????????????????????

Answers

1) Option A

F = m*a This is the second Law of Newton

2) option J

d = √ [a^2 + b^2 ]

That is the application of Pythagorean theorem, which applys for right triangles.

3) Use sine ratio

sin (30°) = opposite-leg / hypotenuse

=> opposite-leg = hypotenuse * sin(30°)

opposite-leg = f(h)

hypotenuse = h

sin(30°) = 1/2

=> f(h) = h * 1/2

=> option c. f(h) = (1/2)h

4) The formula for the volume of a cylinder is V = area of the base * height

Here area of the base = π(r^2)

height = 2r

=> V (r) = 2π(f^3) <----- option G.

5) The slope - y -intercept function of the line is y = mx + b where m is the slope and b is the y-intercept.

In this problem m = c and b = d

So, the answer is y = cx + d <------ option B.

6) Use the formula speed = distance / time => time = distance / speed

=> f(x) = x / m < ------ option J

7) Use the equation of the distance

distance^2 = (x - x1)^2 + (y - y1)^2

given y = 2x + 7 and (x1,y1) = (3,0)

=> distance^2 = (x - 3)^2 + ( 2x + 7 - 0)^2

=> distance^2 = (x - 3)^2 + (2x + 7)^2

=> f(x) = √ [ (x - 3)2 + (2x + 7)^2 ] <------- option D

there are 13 animals in the barn some are ducks and some are pigs there are 42 legs in all how many of each animal are there (ducks have 2 legs and pigs have 4)

Answers

there ar 7 of each animal
1=6(2 legs from the duck, 4 legs from the pig)
2=12(4 legs from the ducks, 8 legs from the pigs)
3=18(6 legs from the ducks, 12 legs from the pigs)
4=24(8 legs from the ducks, 16 legs from the pigs)
5=30(10 legs from the ducks, 20 legs from the pigs)
6=36(12 legs from the ducks, 24 legs from the pigs)
7=42(14 legs from the ducks, 28 legs from the pigs)

In a closing-down sale a shop reduces all its prices by 20%.
Find the sale price of a coat which previously cost $44

Answers

i honestly do not know but if you put it in the calculator I am pretty sure it will tell you
Hello! I can help you with this! There will be a 20% discount of all items, which means that there will be 80% of the original price left to pay. 100 - 20 = 80. To find the sale price of the coat, multiply 44 * 0.8. When you do that, you get 35.2. The new sale price of the coat is $35.20.

Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how many pages has he not yet read? 147 144 152 141

Answers

Let's call the number of pages we have read [tex]m[/tex]. To find the number of pages we have left to read, we'll need to subtract the number of pages we've read from the total number of pages in the book. Our total page count is 193, and the number of pages we've read is the unknown [tex]m[/tex], so the number of pages we haven't read can be written as [tex]193-m[/tex]. With that knowledge, let's construct the rest of our equation.

"He has read three pages more than one-fourth of the number of pages he hasn't yet read." The first key phrase here is "he has read." What this means is that the number of pages he's read, which we've named [tex]m[/tex], is equal to everything in the rest of the sentence. "Thee pages more than" means that we're going to be adding 3 to whatever the next quantity described is, which, in this case, is "one-fourth of the number of pages he hasn't yet read." We already established earlier that "the number of pages he hasn't yet read" is [tex]193-m[/tex], so one-fourth of that would be [tex] \frac{1}{4} (193-m)[/tex]. Putting everything together, we get the following equation:

[tex]m= \frac{1}{4} (193-m)+3[/tex]

To solve for [tex]m[/tex], we might first want to eliminate the fraction 1/4 by multiplying both sides of the equation by 4, obtaining

[tex]4m=193-m+12[/tex]

Solving for m, we get:

[tex]4m=193+12-m\\5m=205\\m=41[/tex]

Now that we have m, it's a simple matter to solve for [tex]193-m[/tex]:

[tex]193-41=152[/tex]

So, he has not yet read 152 pages.

What is the ratio 42 to 48 as a fraction in simplest form?

Answers

42/48 in simplest form is 7/8


A population of rabbits is growing exponentially. The function f(x) = 5(2)t models the number of rabbits after t months.

Based on the model, what is the growth factor for the population of rabbits?

Answers

13 months

Tell me if its right...

Answer:

The growth factor is '2'

Step-by-step explanation:

Here, the given function that represents the population of the rabbits that is increasing exponentially,

[tex]f(x)=5(2)^t----(1)[/tex]

Since, the growth factor is a multiplier that increases the value per period,

Also, in an exponential growth function,

[tex]y=ab^x[/tex]

b is called the growth factor where x is a variable,

Since, in function (1) t is a variable ( time in months )

By comparing, b = 2,

Hence, the growth factor is 2 for the given function.

1/6d + 2/3 = 1/4(d-2)

Answers

Yo, you seem like a cool dude. Could you post another answer on this; https://brainly.com/question/5960230 for me please. I spent 30 minutes answering it but I cannot get brainliest answer unless there is another person. 

1/6d + 2/3  = 1/4(d-2)
1/6d + 2/3 = 1/(4d-8)
Multiplying both sides by 1/(4d-8)
(4d-8/6d) + 2/3 = 1
Multiplying both sides by 6d
(4d - 8) + 2/3 = 6d
4d - 24/3 + 2/3 = 6d
4d - 22/3 = 6d
-2d = 22/3
2d = -22/3
d = -11/3

Which answer is equal to i58 ?

−i
i
−1
1

Answers

As per complex number, the value of [tex]i^{58}[/tex] is (- 1).

What is a complex number?

"Complex number is the number that is expressed in the form of [tex](a + ib)[/tex]where, 'a', 'b' are real numbers and 'i' is an imaginary number."

Therefore, the simplified value is

[tex]i^{58} \\= (\sqrt{-1})^{58} \\= (-1)^{29} \\= -1[/tex]

Learn more about a complex number here: https://brainly.com/question/10251853

#SPJ2

Find the prime factorization of 210.

2 X 3 X 5 X 7
2 X 3 X 35
2 X 7 X 15

Answers

The answer is:  [A]:  " 2 × 3 × 5 × 7 " .
________________________________________________________

210 = 70 * 3 ;

70 * 3 = 35 * 2 * 3 ;

35* 2* 3 = 7 * 5 * 2 * 3 ; which corresponds to "Answer choice:  [A]." .
________________________________________________________

Answer: 2 X 3 X 5 X 7

Step-by-step explanation:

The given number to find the prime factorization =210

We know that 210 can be written as [tex]21\times10[/tex]

Also , 21 can be written as [tex]3\times7[/tex].

And 10 can be written as [tex]2\times5[/tex]

Then , the  prime factorization of 210 is given by :-

[tex]210=21\times10\\\\=3\times7\times2\times5[/tex]

Hence, the prime factorization of 210= 2 X 3 X 5 X 7

Find the distance between the given points . find the midpoint of the segment with the given endpoints. round to the nearest tenth, if necessary

Answers

Where are the given points

In △ABC, the coordinates of vertices A and B are A(1,−1) and B(3,2). For each of the given coordinates of vertex C, is △ABC a right triangle?
Select Right Triangle or Not a Right Triangle for each set of coordinates.
C(0,2) right triangle or not a right triangle?
C(3,-1) right triangle or not a right triangle?
C(0,4) right triangle or not a right triangle?

Answers

Answer:

C(0,2) - Not A Right Angle

C(3,-1) - Right Angle

C(0,4) - Right Angle


I took the unit test and after this was the correct and answer. Hope this helps :))



Final answer:

To determine if △ABC is a right triangle, we can use the distance formula to calculate the lengths of the sides of the triangle. By comparing the squares of these lengths, we can determine if △ABC is a right triangle. For the given coordinates of vertex C, △ABC is not a right triangle.

Explanation:

To determine if △ABC is a right triangle, we need to check if the square of the length of the longest side is equal to the sum of the squares of the other two sides. Using the distance formula, we can find the lengths of AB and AC for each set of coordinates for vertex C. We then compare the squares of these lengths to determine if △ABC is a right triangle.

For C(0,2), the distance between A(1,-1) and C is √((0-1)^2 + (2-(-1))^2) = √(1 + 9) = √10. The distance between B(3,2) and C is √((0-3)^2 + (2-2)^2) = √(9 + 0) = 3. The longest side is AB with length √(2^2 + 3^2) = √(4 + 9) = √13. Since √13 is not equal to √10 + 3, △ABC is not a right triangle.

Following the same calculations for C(3,-1) and C(0,4), we find that △ABC is also not a right triangle for both cases. Therefore, the answer for all three sets of coordinates is Not a Right Triangle.


Xavier is a salesperson who is paid a fixed amount of $455 per week. He also earns a commission of 3% on the sales he makes. If Xavier wants to earn more than $575 in one week, how many dollars (x) in sales must he make?

Answers

He needs to make $4,000 in sales in order to hit $575 so if he earns more than $4,000 in sales then he will exceed his goal. I did 575-455=120 to see how much he needs. Then I did 0.03×4=0.12. Well if you add 0's you will get 120 because the decimal will move so then I added 3 0's to get 0.03×4,000=120. Hope this helped.

The answer is c reason I now this is cause I had this on my test



The perimeter of a rectangular garden is 98 feet. the length of the garden is 4 feet more than twice the width. what is the length of the garden?

Answers

Width: x
Length: 4+2x
Perimeter=x+x+4+2x+4+2x=6x+8
6x+8=98
x=15
Length=4+2(15)=34 feet
The answer to this question is 34 feet

Molly bought a case of bottled water at the store. The case contains 48 bottles. Molly knows that she will drink 3 bottles of water each day and plans to restock her supply of water once she has fewer than 10 bottles left. Determine which inequality is used to find the number of days, x, before Molly will need to restock her supply of bottled water

Answers

Let x = number of days before Molly will need to restock
48 - 3x < 10 we use is less than because "has fewer than" 

If you solve this inequality by subtracting 48, then dividing by -3 (switch inequality sign), you get x > 12[tex] \frac{2}{3} [/tex]

48 - 3x < 10, x=13

13 days


Need some geometry help

Answers

check the picture below.

that means

angle AFB is 27 + 2 = 29

angle BFC is 2(27) + 12 = 66

and angle CFD is 2(27) or 54

so hmmmm, you'd know which one isn't there.

Jon makes $78 in 12 hours of work for his mom. how much would jon make in 20 hours of work

Answers

$ 78 in 12 hrs....78/12 = 6.50 per hr

for 20 hrs...
6.50 * 20 = $ 130 <==

Answer:

$130

Step-by-step explanation:

This is a direct proportionality between the amount he makes and the time worked. As the time increases, so does the amount he makes and vice versa.

Let the amount made be A and the time T

A ∝ T,

A = KT where K is the constant of proportionality

where Jon makes $78 in 12 hours of work, A = 78, T = 12

78 = 12K

K = 6.5

A = 6.5T

In 20 hours of work, T =  20

A = 6.5 × 20

A = $130

number divided by -3 is less than 6

Answers

n/-3 < 6
if you need to solve to find the number then
n > -18

An area of 16m^2 can be covered by 1.5 litres of pain. How many litres are needed to cover 20m^2?

Answers

Greetings!

Solve for x.
[tex]16:1.5=20:x[/tex]
[tex]16/1.5=20/x[/tex]
Cross Multiply.
[tex]16*x=20*1.5[/tex]
Simplify.
[tex]16x=30[/tex]
Divide both sides by 16.
[tex](16x)/16=(30)/16[/tex]
Simplify.
[tex]x=1.875[/tex]

1.875 litres of pain would be required to cover an area of 20 meters².

Hope this helps.
-Benjamin

can you help me round 3,418,913 to the nearest thousand

Answers

3,419,000 because the 913 rounds the number up
3,418,913 to the nearest thousand is 3,419

multiply 2/7 with its additive inverse

Answers

To find the additive inverse, multiply 2/7 by -1.

Answer: -2/7.

Why is the answer -2/7?

When you add 2/7 + (-2/7) the answer will be 0.

This is why -2/7 is the additive inverse.

Vehicle a averages 14 miles per gallon of gasoline, and vehicle b averages 36 miles per gallon of gasoline. at these rates, how many more gallons of gasoline does vehicle a need than vehicle b to make a 1,008-mile trip?

Answers

Final answer:

Vehicle A requires 72 gallons and vehicle B requires 28 gallons for a 1,008-mile trip. Therefore, vehicle A needs 44 more gallons of gasoline than vehicle B for the trip.

Explanation:

To calculate the number of gallons of gasoline each vehicle needs for the trip, we would divide the total distance of the trip by the miles per gallon (mpg) that each vehicle gets. Then, to find out how many more gallons of gasoline vehicle A needs than vehicle B, we subtract the gallons of gasoline used by vehicle B from the gallons used by vehicle A.

First, we find the gallons needed for vehicle A:

Vehicle A: 1,008 miles ÷ 14 mpg = 72 gallons

Next, we calculate the gallons needed for vehicle B:

Vehicle B: 1,008 miles ÷ 36 mpg = 28 gallons

Finally, we determine how many more gallons vehicle A requires than vehicle B:

Additional gallons needed by vehicle A: 72 gallons - 28 gallons = 44 gallons

what is x ⋅ x ⋅ x = ?

Answers

That would be x^3

Think of it like this:
x ⋅ 1 = x^1
x ⋅ x = x^2

Therefore x ⋅ x ⋅ x = x^3.
That would be equal to X^3.
Hope this helps! :)

What are the excluded values of x for x^2-9x/x^2-7x-18

Answers

The expression is [tex] \displaystyle{\frac{x^2-9x}{x^2-7x-18} [/tex].

The excluded values are those values of x for which the denominator, [tex]x^2-7x-18[/tex], becomes zero.

So, we need to factorize the expression [tex]x^2-7x-18[/tex].


To factorize the expression, we can use the grouping method. Write -7x as -9x+2x to create 4 terms, as follows:

                          [tex]x^2-7x-18=(x^2-9x)+(2x-18)=x(x-9)+2(x-9)[/tex].

The, factorizing (x-9), we have (x-9)(x+2).

This expression becomes 0 for x=-2, or for x=9.


Answer: {-2, 9}

The excluded values of x for x^2-9x/x^2-7x-18 are -2 and 9

The expression is given as:

x^2-9x/x^2-7x-18

Set the denominator of the expression to 0

x^2-7x-18 = 0

Expand the above expression

x^2 + 2x -9x -18 = 0

Factorize the expression

x(x + 2) -9(x +2) = 0

Factor out x + 2

(x -9)(x +2) = 0

Solve for x

x = 9 and x = -2

Hence, the excluded values of x for x^2-9x/x^2-7x-18 are -2 and 9

Read more about quadratic functions at:

https://brainly.com/question/1214333

If 17 is increased to 23, the increase is what percent of the original number? (this is known as the percent of change.)

Answers

23-17=6
The percentage of increase:
(6/17)*100=35.2942%

The value increase= 23-17
                              = 6
The percentage is for 100%
Thus, the increase divided by the original value, gives you the answer.
So, 6/23 x 100% is equal to 26.08%
If we round that answer up we get, 26.1

Hope this helps :))

How many hours did Miriam stop to rest

Answers

What are you basing this on?
There’s nothing there to help u with all ur saying is the question there’s nothing to solve for u..

∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 . What is the value of x? Enter your answer in the box.

Answers

8x+8 = 2x+38
6x=30
x=5

Answer:

5 is the answer

Step-by-step explanation:

I'm from K12

m/x = k - 6 Solve for m

Answers

You just multiply the x and the answer would be m = k-6/x
Not sure if this is 100% correct but it's m=kx-6x

9 different coin combinations that equal 76 cents

Answers

5 nickels a quarter 2 dimes an a penny  

The radius of a sphere is 3 inches. Which represents the volume of the sphere?
A) 12π cubic inches
B) 36π cubic inches
C) 64π cubic inches
D) 81π cubic inches

Answers

Hello! The volume of a sphere is 4/3πr³. The radius is 3. 3³ is 27. 27/1 * 4/3 is 108/3 or 36 in simplest form. When you do that, you're left with 36π. The answer is B: 36π cubic inches.

Answer: B) [tex]36\pi \text{cubic inches}[/tex]

Step-by-step explanation:

We know that the volume of a sphere is given by :-

[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex], where r is radius of the sphere.

Given : The radius of the sphere = 3 inches

Then , the volume of the sphere will be :-

[tex]\text{Volume}=\dfrac{4}{3}\pi (3)^3\\\\\Rightarrow\ \text{Volume}=36\pi \text{ cubic inches}[/tex]

Hence, the volume of the sphere = [tex]36\pi \text{ cubic inches}[/tex]

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