D) the answers growth because when the number 7 (in that position) is raised to a power it will grow at the rate of 7 to the power of (x)
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let w represent the width, hence:
length = w + 33, height = w - 13
Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w
V(w) = w³ + 20w² - 429w
Rate of change = dV/dw = 3w² + 40w - 429
When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423
When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118
Rate = 10118 - 5423 = 4695 in³/in
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
Find out more on equation at: brainly.com/question/2972832
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Slope: (y2-y1)/(x2-x1)
(-3+5)/(-1-7) = 2/-8 = -1/4
The answer is d) -1/4
Answer:
y=53
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
y=8(6)+5
y=48+5
y=53
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