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Vikki [24]
3 years ago
7

Included side between

Mathematics
1 answer:
olga55 [171]3 years ago
4 0
Whats your question? And I will try to help you
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How do the average rates of change for the functions f(x) = 2x2 and g(x) = 3x2 over the interval −3 ≤ x ≤ 4 compare?
DedPeter [7]
<h2>Answer with explanation:</h2>

The average rate of change for function f(x) over the interval a ≤ x ≤ b is given by :-

\dfrac{f(b)-f(a)}{b-a}

So, the rate of change for function f(x)=2x^2  over the interval −3 ≤ x ≤ 4 :

=\dfrac{2(4)^2-2(-3)^2}{4-(-3)}=\dfrac{14}{7}=2

The rate of change for function g(x)=3x^2  over the interval −3 ≤ x ≤ 4 :

=\dfrac{3(4)^2-3(-3)^2}{4-(-3)}=\dfrac{21}{7}=3

So, the rate of change for  g(x) is greater than f(x) over the interval −3 ≤ x ≤ 4.

3 0
3 years ago
What is the equation of the line that passes through the point (8,1) and has a slope<br> of?
NemiM [27]

Answer:

Step-by-step explanation:

hello :

Use the point-slope formula.

y - y_1 = m(x - x_1)      when : x_1 = 8  and  y_1 = 1

the equation is : y - 1 = m(x - 8)

5 0
3 years ago
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