Solve by substitution
3x y=-9
x-2y=-10

Answers

Answer 1

Answer: : 3x + y = 9
y = 9 - 3x

x - 2y = 10
y = (x - 10)/2

2(9 - 3x) = x - 10
18 - 6x = x - 10
7x = 28
x = 4

y = 9 - 3(4)
y = 9 - 12
y = - 3

Answer: x = 4, y = - 3

Proof—2nd equation:
4 - 2(- 3) = 10
4 + 6 = 10

Hope this helps :)

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What is the area of the square??

Answers

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The area is 256

The length is 16

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The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit hours taken. The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h. How many credit hours will a student have to take for the two tuition costs to be equal? Round the answer to the nearest tenth of an hour. 250 + 200h = 300 + 180h 250 + 200h = 300 + 180h − 180h − 180h 250 + 20h = 300 h = credit hours

Answers

To solve how many credit hours will a student have to take for the two tuition costs to be equal, the two functions should be equated and solve for the number of hours
C (h) = S (h)
250 + 200h = 300 + 180h
200h – 180h = 300 – 250
20h = 50
H = 2.5 credit hours

The required equation is: $\mathbf{150 + 200h = 300 + 180h}$ and the number of credit hours is 7.5

The functions are given as:

$\mathbf{C(h) = 250 + 200h}$

$\mathbf{S(h) = 300 + 180h}$

When the two tuition costs are equal, we have:

$\mathbf{C(h) = S(h)}$

This gives

$\mathbf{150 + 200h = 300 + 180h}$

Collect like terms

$\mathbf{ 200h -180h= 300 -150 }$

$\mathbf{ 20h= 150 }$

Divide both sides by 20

$\mathbf{ h= 7.5 }$

Hence, the required equation is: $\mathbf{150 + 200h = 300 + 180h}$ and the number of credit hours is 7.5

Answers

f(-3) = 25, you get this by replacing all x’s in the equation with -3

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Answers

2×2 - 10x - 3= 0
=4 - 10x -3=0
=1-10x=0
=1=10x
⇒x=1/10

On Friday, a local restaurant served 150 customers. Of these, 114people ordered soup. What percent of the customers ordered soup?

A: 13%

B: 66%

C: 34%

D: 76%

Answers

The answer is D, because we will divide 114 by 150 and the total converted to percentage is 76

1) A clerk have y dollars, all in $10 bills. What expression repression the number of $10 bills the clerk has?2)A concert ticket costs p dollars for an adult and q dollars for a child.Find an expression that represnts the total cost for 4 adult and 6 children.

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