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3 years ago

What is the average rate of change for ƒ(x) = −2x + 70 over the interval 2 ≤ x ≤ 6?

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

4 0

Answer:

The average rate of change is -2

Step-by-step explanation:

we know that

To find out the average rate of change, we divide the change in the output value by the change in the input value.

In a linear function the average rate of change is a constant and is equal to the slope of the function

The linear function in slope intercept form is equal to

$f(x)=mx+b$

where

m is the slope or unit rate of the linear function

b is the y-intercept or initial value of the linear function

In this problem we have

$f(x)=-2x+70$

$m=-2\\b=70$

therefore

The average rate of change is -2

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2 years ago

HELP!!!!!

podryga [215]

Solve for the x-max or h :\
$-b/(2a)=-8/(2*-2)=2=k$
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$y(2)=-2(2)^2+8(2)+3$
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3 years ago

Use 2 as a factor to write an expression that is equivalent to the expression 8x+6y .

posledela

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3 years ago

Identify an equation in point-slope form for the line parallel to y = 1*-7 that

kakasveta [241]

Answer:

y + 2 = 1 (x+3) ............> y + 2 = x + 3

Explanation:

The general form of the equation of a line in point-slope form is:

y - y₁ = m (x - x₁)

where:

m is the slope of the line

(x₁ , y₁) is a point that belongs to the line

The general form of the equation of a line in slope-intercept form is:

y = mx + c

where:

m is the slope

c is the y-intercept

1- Getting the point:

We are already given the point (-3 , -2) so we'll directly use it

2- Getting the slope

We are given that our line is parallel to the line:

y = 1x - 7

We know that parallel lines have equal slopes

This means that:

slope of the line we want = 1

3- Getting the equation:

Substitute with the point and slope in the above form to get the equation

This is done as follows:

y - y₁ = m (x - x₁)

y - (-2) = 1 (x - (-3))

y + 2 = 1 (x + 3)

y + 2 = x + 3

Hope this helps :)

4 0

2 years ago