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kumpel [21]
3 years ago
12

Solve the system of equations. -4x+7y = 20 & y=3x+15

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0

Substitute y = 3x + 15 to the equation -4x + 7y = 20:

-4x + 7(3x + 15) = 20          <em>use distributive property</em>

-4x + (7)(3x) + (7)(15) = 20

-4x + 21x + 105 = 20     <em>subtract 105 from both sides</em>

17x = -85     <em>divide both sides by 17</em>

x = -5

Substitute the value of x to the equation y = 3x + 15:

y = 3(-5) + 15

y = -15 + 15

y = 0

<h3>Answer: x = -5 and y = 0</h3>
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Which function has an average rate of change of -4 over the interval [-2,2]?
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Only p(x) has an average rate of change of -4 over [-2, 2].

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The average rate of change of m(x) over [-2, 2]:

<h3>What is the average rate?</h3>

The average rate of change = \frac{m(b)-m(a)}{b-a}

Where, a = -2, m(a) = -12

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Plug the values into the equation

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The average rate of change of n(x) over [-2, 2]:

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Where, a = -2, n(a) = -6

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The average rate of change of q(x) over [-2, 2]:

The average rate of change = \frac{q(b)-q(a)}{b-a}

Where, a = -2, q(a) = -4

b = 2, q(b) = -12

Plug the values into the

The average rate of change = \frac{-4-12}{2-(-2)}

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The average rate of change of p(x) over [-2, 2]:

The average rate of change = \frac{p(b)-p(a)}{b-a}

Where, a = -2, p(a) = 12

b = 2, p(b) = -4

Plug the values into the equation

The average rate of change = \frac{-4-12}{2-(-2)}

=\frac{-16}{4}

The average rate of change = -4

The answer is D.

Only p(x) has an average rate of change of -4 over [-2, 2].

To learn more about the average rate of visit:

brainly.com/question/8728504

#SPJ1

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