The average rates of change of f(x) and their corresponding intervals are given as:
Interval Rate of Change
[-5, -1] -8
[-4, -1] -7
[-3, 1] -4
[-2, 1] -3.
<h3>What is the explanation for the above?
</h3>
Step 1 - See Table Attached
Step 2 - State the formula for rate of change
The formula for rate of change is given as:
= [change in f(x)] / [change in x]
a) For interval [5, -1] ⇒
Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]
= [-1 - 35] / [-1+5]
= -36 / 4
= - 8
b) For interval [-4, -1] ⇒
rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]
= [3 - 24] / [-1 + 4]
= -21/3
= - 7
c) interval [-3,1] ⇒
rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]
= [-1 - 15] / [1 + 3]
= -16/4
= - 4
d) interval [-2,1] ⇒
rate of change = [f (1) - f(-2)] / [1 - (-2)]
= [ -1 - 8] / [1 + 2]
= -9/3
= -3
Learn more about rate of change at:
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Answer:
Answer:
5.46π cm³
Step-by-step explanation:
Volume of sphere= 4/3πr³
= 4/3×π×(1.6)³ cm³
=5.46π cm³
hope this helped you!
The area of rectangle is 15x - 25y + 30 sqaure units
<em><u>Solution:</u></em>
Given that, a rectangle with a length of 5 and a width of 3x - 5y + 6
To find: Area of rectangle
<em><u>The area of rectangle is given by formula:</u></em>
From given,
Length = 5
Width = 3x - 5y + 6
<em><u>Substituting the values in formula, we get,</u></em>
Thus area of rectangle is 15x - 25y + 30 sqaure units
Answer:
B. √6900
Step-by-step explanation:
The square length of hypotenuse is equal to sum of square length of two legs let x represent the other leg
130^2 = 100^2 + x^2
16900 = 10000 + x^2 subtract 10000 from both sides
6900 = x^2 find the root for both sides
x = √6900
