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Jlenok [28]
3 years ago
15

Which pairs in the form x,y are solutions to the equation 7x-5y=28?

Mathematics
1 answer:
Ainat [17]3 years ago
6 0

Answer:

x=4 y=0

Step-by-step explanation:

7(4)-5(0)=28

28-0=28

28=28

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Which mathematical property is illustrated? ab + c = c + ab
g100num [7]

Answer:

Distributive Property

Step-by-step explanation:

a(b + c) = ab + ac

4 0
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Which ordered pair is a solution the the following system?
muminat

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d is the correct answer .

Step-by-step explanation:

I just guessed

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3 years ago
Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −
crimeas [40]

Solving quadratic equations, it is found that he needs to charge:

1. He needs to charge $40 to break even.

2. He needs to charge $30 for a profit of $600.

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

The profit equation in this problem is:

P(x) = -3x² + 150x - 1200.

He breaks even when P(x) = 0, hence:

-3x² + 150x - 1200 = 0.

The coefficients are a = -3, b = 150, c = -1200, hence:

  • \Delta = 150^2 - 4(-3)(-1200) = 8100
  • x_1 = \frac{-150 + \sqrt{8100}}{-6}
  • x_2 = \frac{-150 - \sqrt{8100}}{-6} = 40

He needs to charge $40 to break even.

For a profit of $600, we have that P(x) = 600, hence:

-3x² + 150x - 1200 = 600.

-3x² + 150x - 1800 = 0.

The coefficients are a = -3, b = 150, c = -1800, hence:

  • \Delta = 150^2 - 4(-3)(-1800) = 900
  • x_1 = \frac{-150 + \sqrt{900}}{-6}
  • x_2 = \frac{-150 - \sqrt{900}}{-6} = 30

He needs to charge $30 for a profit of $600.

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

6 0
2 years ago
Write an expression equivalent to the expression -1/2(-3/2x+6x+1)-3x
stiv31 [10]

Answer:

-21/4x-1/2

Step-by-step explanation:

-1/2(-3/2x+6x+1)-3x

3/4x-3x-1/2-3x

3/4x-3x-3x-1/2

3/4x-6x-1/2

3/4x-24/4x-1/2

-21/4x-1/2

4 0
3 years ago
What is the y-intercept of the line shown?
Marta_Voda [28]

Answer:

y-intercept = 3

Step-by-step explanation:

value that's on the y - axis

4 0
3 years ago
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