which value of x is in the solution set of the following inequality?​

Which Value Of X Is In The Solution Set Of The Following Inequality?

Answers

Answer 1

The right answer is Option 2.

Step-by-step explanation:

Given inequality is;

-3x+5>17

Solving the inequality

Subtracting 5 from both sides of the inequality;

[tex]-3x+5-5>17-5\\-3x>12[/tex]

Dividing both sides of inequality by -3;

[tex]\frac{-3x}{-3}>\frac{12}{-3}\\\\x>-4[/tex]

The solution to the inequality is -4.

The right answer is Option 2.

Keywords: subtraction, division

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Related Questions

A __________ guarantees that there is one and only one output for every input.

Answers

Answer:  y intercept

Step-by-step explanation:

for an unknown polynomial function p(x),p(2)+4=4, which binomial is a factor of p(x)?

Answers

Answer:i think it is 0

Step-by-step explanation:

You can use the fact that if (x-root) is a factor of a single variable polynomial function p(x) = 0

A binomial factor of p(x) is (x-2)

How to get factor of a single variable polynomial function if we know its one of the roots?
Suppose the polynomial function be p(x)

Let its root be x = k

Then we have one of the factor of polynomial as (x-k)

What is a root of a single variable polynomial function p(x) ?

Root of a polynomial function p(x) is a value of x such that putting that value in place of x makes the output 0.

Thus, if x = k is a root of the polynomial p(x), then

p(k) = 0

How to get a factor of the considered polynomial function?

Since it is given that

p(2) + 4=4

thus,

p(2) = 4-4 = 0

Thus, x = 2 is a root of the polynomial function, and thus, using the aforesaid conclusions, we have (x-2) as one of the factors of the considered polynomial function.

Thus,

A binomial factor of p(x) is (x-2)

Learn more about polynomials here:

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Find the Center and the radius of the circle
x2 + y2 - 6x + 8y- 7 = 0.

Answers

Final answer:

The center of the circle is (3, -4) and the radius is approximately 5.66 units.

Explanation:

To find the center and radius of the given circle, we need to rewrite the equation in the standard form of the equation of a circle. The standard form is: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

So, let's complete the square for both x and y terms in the given equation:

(x^2 - 6x) + (y^2 + 8y) = 7

(x^2 - 6x + 9) + (y^2 + 8y + 16) = 7 + 9 + 16

(x - 3)^2 + (y + 4)^2 = 32

Now we can see that the center of the circle is (3, -4) and the radius is √32 or approximately 5.66 units.

If there are 6 hours in a school day, 5 school days in a week, 4 school weeks in a
month and 9 months in a school year, how many hours are there in a school
years

Answers

Answer:

1080hrs

Step-by-step explanation:

[tex] \frac{6hr}{1day} \times5 \frac{days}{week} [/tex]

days cancel, redefine week as =5days

[tex] \frac{30hr}{1week} \times 4 \frac{weeks}{month} [/tex]

weeks cancel redefine 4 weeks = 1 month

[tex] \frac{120hr}{1month} \times 9 \frac{month}{1year} [/tex]

months cancel, redefine 9months= 1years

[tex] \frac{120 \times 9}{1year} [/tex]

1080hrs per year (if I mathed 120x9 correctly that is, I didn't use a calculator so please double check that 120x9=1080)

Answer: 1080 hours

Step-by-step explanation:

What are the values of m∠ABC, m∠CBF, m∠ABD and m∠DBE in the given figure? Explain or show your work.

Answers

The given figure is missing so I attached it below

m∠ A B C = 72°

m∠ F B C = 108°

m∠ A B D = 90°

m∠ D B E = 18°

Step-by-step explanation:

Vertical opposite angles formed from intersecting of two lines in a point, they are equal in measuresA pair of linear angles formed from intersecting a ray and a line in a point, the sum of their measures is 180°

∵ Lines A F and C E are intersected at point B

∴ ∠ A B C and ∠ F B E are vertical opposite angles

- That mean they are equal in measures

∴ m∠ A B C = m∠ F B E

∵ m∠ F B E = 72°

m∠ A B C = 72°

∵ Ray F B and line E C are intersected at B

∴ ∠ C B F and ∠ F B E formed a pair of linear angles

- Their measures is 180°

∴ m∠ C B F + m∠ F B E = 180°

∵ m∠ F B E = 72°

∴ m∠ C B F + 72 = 180

- Subtract 72 from both sides

m∠ C B F = 108°

∵ Ray B D ⊥ to line A F

- That mean ∠ A B D and ∠ F B D are formed a pair of linear

  angles equal in measures, then their measures is 180 ÷ 2 = 90

∴ m∠ A B D = m∠ F B D = 90°

m∠ A B D = 90°

∵ Ray B E divides ∠ D B F into two angles D B E and F B E

∵ m∠ F B D = 90°

∴ m∠ D B E + m∠ F B E = 90°

∵ m∠ F B E = 72°

∴ m∠ D B E + 72 = 90°

- Subtract 72 from both sides

m∠ D B E = 18°

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Ronnie charged his customers a flat fee of $25 to fix computers computers.Then he charge $30 for each hour that he spent fixing the computer. If Ronnie made $175 off of his first customer how many hours did he spend working.

Answers

Answer:$200

Step-by-step explanation:

Answer:

7.5 Step-by-step explanation: Ronnie charges $25 plus $20 per hour. This means that he made the following depending on how many hours he spent on it: Hours        Dollars 0                 25 = 25 + 0(20)=25 1                  25+20 = 25 + 1(20)=45 2                  25+20+20 = 25 +2 (20)=65 3                  25+20+20+20 = 25 +3 (20)=85 4                  25+20+20+20+20 = 25 +4 (20)=105 5                  25+20+20+20+20+20 = 25 +5 (20)=125   n                  25+n(20)=175 To find how many hours he worked for $175 we solve the equation using inverse operations: 25+n(20)=175 25-25+n(20)=175-25 n(20)=150 n= 7.5 hours

What is 10 +19. +20000000000000

Answers

The answer is 20000000000029

Answer is: 20000000000029

PLEASE HELP (answer only if you know it) step by step pleaseeeeeeeeeeeeee

Answers

Therefore the length of a line segment [tex]\bar {CD}[/tex] is =9.43 units

Step-by-step explanation:

Given the coordinate of C is (-3,1) and D is (5,6)

The length of a line  segment [tex]\bar {AB}[/tex]with endpoint A at [tex](x_1,y_1)[/tex] and endpoint B at [tex](x_2,y_2)[/tex] is  =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here [tex]x_1=-3 ,y_1=1[/tex]  and   [tex]x_2=5,y_2=6[/tex]

Therefore the length of a line segment [tex]\bar {CD}[/tex] is [tex]\sqrt{(5+3)^2+(6-1)^2}[/tex]

                                                                           =[tex]\sqrt{89}[/tex] units

                                                                           =9.43 units

                                               

Organize the following polynomial expressions from least to greatest based on their degree: (2 points)

I. x + 2xyz
II. 9x3y2
III. 18x2 + 5ab − 6y
IV. 4x4 + 3x2 − x − 4

Answers

On arranging from least to greatest based on their degree:

[tex]18x^2 + 5ab - 6y\\\\x + 2xyz\\\\4x^4 + 3x^2 -x-4\\\\9x^3y^2[/tex]

Solution:

Given that,

Organize the following polynomial expressions from least to greatest based on their degree

Degree of polynomial is highest power of the variable in the algebraic expression

For polynomial with more than one variable, find the degree of each monomial and then add them and choose the largest exponent

[tex]I) x + 2xyz \\\\Degree\ of\ x = 1\\\\Degree\ of\ 2xyz = 1 +1 + 1 = 3[/tex]

Thus degree is 3

[tex]II) 9x^3y^2\\\\Degree = 3 + 2 = 5[/tex]

Thus degree is 5

[tex]iii) 18x^2 + 5ab - 6y\\\\Degree\ of\ 18x^2 = 2\\\\Degree\ of\ 5ab = 1 + 1 = 2\\\\Degree\ of\ 6y = 1[/tex]

Thus degree is 2

[tex]iv) 4x^4 + 3x^2 -x-4\\\\Degree\ of\ 4x^4 = 4\\\\Degree\ of\ 3x^2 = 2\\\\Degree\ of\ x = 1\\\\Degree\ of\ 4 = 0 (since\ degree\ of\ constants\ is\ 0)[/tex]

Thus degree is 4

On arranging from least to greatest based on their degree:

[tex]18x^2 + 5ab - 6y\\\\x + 2xyz\\\\4x^4 + 3x^2 -x-4\\\\9x^3y^2[/tex]

Which of the following represents the sum of the series? 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26

Answers

Answer:

the awnser is A I just got it right

Ticketmaster charges $95 for Ariana
Grande's concert. They also charge
a surplus fee for services of $11.
Write a linear equation for the cost
of a ticket to see Ariana Grande's
Concert through Ticketmaster.
14)
Slope:
Y-Intercept
Equation:

Answers

The slope is the price of a ticket = 95

The y intercept is the service fee = 11

The equation would be multiplying the price of a ticket (slope) by the number of tickets being purchased (x) and then add the service fee ( y intercept)

Equation: f(x) = 95x + 11

Answer:

The slope is the price of a ticket = 95

The y intercept is the service fee = 11

The equation would be multiplying the price of a ticket (slope) by the number of tickets being purchased (x) and then add the service fee ( y intercept)

Equation: f(x) = 95x + 11

Jill traced the. three shapes shown out of cardboard for an art project. Select all of the shapes that will give Jill a piece of cardboard with the same total area. Please help!

Answers

Answer:

1st and 3rd figures have the same area

Step-by-step explanation:

1st figure is combined figure consisting of 4 m by 5 m rectangle and right triangle with legs

[tex]4-1=3\ m[/tex] and [tex]10-5=5\ m[/tex]

The area of the first figure is

[tex]A_{rectangle}=4\times 5=20\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{1^{st}\ figure}=20+7.5=27.5\ m^2[/tex]

2nd figure is combined figure consisting of 3 m by 6 m rectangle and right triangle with legs

3 m and [tex]1+3+1=5\ m[/tex]

The area of the second figure is

[tex]A_{rectangle}=3\times 6=18\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{2^{nd}\ figure}=18+7.5=25.5\ m^2[/tex]

3rd figure is combined figure consisting of 10 m by 2 m rectangle and right triangle with legs

3 m and [tex]10-5=5\ m[/tex]

The area of the third figure is

[tex]A_{rectangle}=2\times 10=20\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{3^{rd}\ figure}=20+7.5=27.5\ m^2[/tex]

The sum of two numbers is 76 and their difference is 54. Find each of the numbers.

Answers

Answer:

The numbers are 11 and 65

Step-by-step explanation:

11 + 65 = 76

65 - 11 = 54

Evaluate f(5):f(x) = x2 - 16x - 48

Answers

Answer:

f(5)=-103

Step-by-step explanation:

f(x) =x^2-16x-48

x=5

f(5)=5^2-16*5-48

f(5)=25-80-48

f(5)=-103

Which of the following models can be used to find the product of (2x + 1)(x + 6)?

A
2x(x + 6) – 6(x + 1)

B
2x(x – 6) + 1(x – 6)

C
x(x – 6) + 2x(x – 6)

D
x(2x + 1) + 6(2x + 1)

Answers

The answer will be CCCCCCCCC

Answer: No, it D

Step-by-step explanation: i choose c but it was wrong, it d

3 brothers have 58 years in total. How old is the youngest brother if 3/4 of his age equals to 2/3 of middle brother's age and 3/4 of youngest brother's age equals to half of oldest brother's age?​

Answers

Step-by-step explanation:

Let O represents older brother

M represents middle brother

& Y represents younger brother.

Therefore, according to the given condition:

[tex] \frac{3}{4} y = \frac{2}{3} m = \frac{1}{2} o \\ \\ \therefore \: \frac{3}{4} y = \frac{2}{3} m \\ \implies \: m = \frac{3}{2} \times \frac{3}{4} y = \frac{9}{8} y \\ \\ next \: \: \frac{3}{4} y = \frac{1}{2} o \\ \implies \: o = \frac{2}{1} \times \frac{3}{4} y = \frac{3}{2} y \\ \\ \because \: o + m + y = 58 \\ \\ \therefore \: \frac{3}{2} y + \frac{9}{8} y + y = 58 \\ \\ \therefore \: \frac{12}{8} y + \frac{9}{8} y + \frac{8}{8} y = 58 \\ \\ \therefore \: \frac{29}{8} y = 58 \\ \\ \therefore \: y = 58 \times \frac{8}{29} \\ \\ \therefore \: y = 2 \times 8 \\ \\ \therefore \: y = 16 \: years[/tex]

Thus youngest brother is 16 years old.

Math, ,,,,,,,,,,,,,,,,,,,,

Answers

Answer:

the Answer here is A

Step-by-step explanation:

30 kg into 5:3 ratio

Answers

Answer:

18.75 Kg : 11.25 Kg

Step-by-step explanation:

Sum the parts of the ratio, 5 + 3 = 8 parts

Divide 30 Kg by 8 to find the value of one part of the ratio

30 Kg ÷ 8 = 3.75 Kg ← value of 1 part of the ratio, thus

5 parts = 5 × 3.75 Kg = 18.75 Kg

3 parts = 3 × 3.75 Kg = 11.25 Kg

Complete the function table using the function rule f(x)=5x and answer the following questions

Answers

Where is the table and questions Sherlock

Family room measures 23 feet by 28 feet. They are covering the floor with tiles that measure 1 foot on a side and cost $0.94 each. How many will they spend on the tile?

Answers

Answer:

$605.36

Step-by-step explanation:

They will spend  644* 0.94 = 605.36

Sure you can write in one line

23*28*0.94 = $605.36

Chicken costs $3.20 per pound, and beef costs $4.59 per pound. How much more does 3 pounds of beef cost than 3 pound of chicken?

Answers

To find the difference, first calculate how much 3 pounds of each meat costs.

$3.20 × 3 = $9.60 for 3 pounds of chicken

$4.59 × 3 = $13.77 for 3 pounds of beef

Now, take the difference.

$13.77 - $9.60 = $4.17

Answer:

3 pounds of beef costs $4.17 more than 3 pounds of chicken.

Answer:

3 pounds of beef costs $4.17 more than 3 pounds of chicken

Step-by-step explanation:

Jake paid 13.50$ for admission to the country fair and bought 9 tickets to play games. If he spent a total of $36, what is the cost,c, of one ticket?

Answers

For the sake of it c=x
13.50+9x=36
36-13.50=22.5
9x=22.5
22.5/9=2.5
X=2.5
$2.50 , 36-13.50= 22.50 , then divide that by the number of tickets which was 9.

Are these equations infinite solution, no solution, or one solution?

1: -14-8x=-2(-3x+7)

2: 3+5x=5(x+2)-7

3: 36-7x=-7(x-5)

Answers

Answer:

1) one solution

2) Infinitely many solution

3) no solution

Step-by-step explanation:

The first equation is -14-8x=-2(-3x+7)

Let us expand the right hand side to get:

-14-8x=-2*-3x+-2*7

We multiply -14-8x=6x-14

We group similar terms to get:

-8x-6x=-14+14

Combine similar terms to get:

-14x=0

Divide through by -14 to get:

x=0

2) The second equation is 3+5x=5(x+2)-7

We expand to obtain:

3+5x=5x+5*2-7

Multiply to get:

3+5x=5x+10-7

This gives us

3+5x=5x+3

5x=5x

1=1

There is infinitely many solutions

3) The third equation is: 36-7x=-7(x-5)

We expand to get:

36-7x=-7x+35

Group similar terms;

-7x+7x=35-36

0=-1

This statement is not true so there is no solution.

Can someone help me with this math q?

Answers

Option A:

Lateral surface area = 1319 cm²

Solution:

Given image is the cone.

Radius of the cone = 15 cm

Slant height = 28 cm

Value of π = 3.14

To find the lateral surface area of the cone:

Lateral surface area = [tex]\pi r l[/tex]

                                 [tex]=3.14\times 15\times28[/tex]

                                 =  1318.8 cm²

Change this to nearest whole unit.

Lateral surface area = 1319 cm²

Hence the lateral surface area of the cone is 1319 cm².

Option A is the correct answer.

2x-4=10 reverse order algebra

Answers

Answer:

7

Step-by-step explanation:

2x-4=10

2x=10+4

2x=14

x=14/2

x=7

When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is
the value of n?​

Answers

Answer:4

Step-by-step explanation:What +7=11 bause the () make a multiplication and 11x3=33

Answer:

n=4

Step-by-step explanation:

3(n+7)=33

Lets mulitply..

3n+21=33

Then we need 3n alone...

To do this subract 21 from 33 and you get 12.

3n=12

Divide 3n by 3 and 12 by 3.

n=4

13,500 deposit earning 3.3% compound monthly after 1 year

Answers

Answer:

$13,952.30

Step-by-step explanation:

refer to attached graphic

the formula for compound interest is given as

A = P [ 1 + (r/n) ] ^ (nt)

where

A = final amount (we are asked to find)

P = principal amount = $13,500

r = rate = 3.3% = 0.033

n = 12 (compounded monthly)

t = 1 year

substituting these values into the equation

A = 13500 [ 1 + (0.033/12) ] ^ [(12)(1)]

A = 13500 [ 1 + 0.00275 ] ^ 12

A = 13500 [1.00275 ] ^ 12

A = 13500 (1.0335)

A = $13,952.30

The balance on a $13,500 deposit earning 3.3% and compound monthly after 1 year is equal to $13,952.30.

How to determine the future value after 1 year?

In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where:

A represents the future value.n represents the number of times compounded.P represents the principal.r represents the interest rate.t represents the time measured in years.

By substituting the given parameters into the formula for compound interest, we have the following;

[tex]A(1) = 13500(1 + \frac{0.033}{12})^{12 \times 1}\\\\A(1) = 13500(1.00275)^{12}[/tex]

Future value, A(1) = $13,952.30.

Read more on compound interest here: brainly.com/question/16608367

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Complete Question;

Find the balance in each account after the given period. $13,500 deposit earning 3.3% compound monthly after 1 year.

Annabella has a cup of raisins. She gave equal portions of 1/2 cups of the raisins to her for siblings which diagram could Annabella used to find the fraction of the love the each sibling receives

Answers

Answer:1/4

Step-by-step explanation:

Write an expression that is equivalent to the following expression by factoring out the GCF 16y+18m

Answers

Answer:

2(8y+9m)

Step-by-step explanation:

Valentine's day cards cost 3/4 of dollars Emily has $20 she has to buy 20 cards for her class how much money will she be left with

Answers

Answer:

$5

Step-by-step explanation:

3/4 is the same as .75;

.75•20=15

20-15=5

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