10. Mrs. Taylor wants to lay new carpet in the entrance and hallway of her home as shown below. The carpet she selected sells fo
r $2.50 a square foot. How much will it cost to lay the carpet in the entrance and hallway?
1 answer:
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Integrate both sides with respect to <em>t</em> :
∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>
<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>
Use the initial condition to solve for <em>C</em> :
5 = -4•0³+ <em>C</em>
<em>C</em> = 5
So
<em>y(t)</em> = -4<em>t</em> ³ + 5
and the answer is D.
Alternatively, you can directly apply the fundamental theorem of calculus:
The system of equations 2x + 3y = 2 and y = (1/2)x + 3 have solutions at x = -2 and y = 2
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more numbers and variables.
From the system of equations 2x + 3y = 2 and y = (1/2)x + 3, the graph of the equation shows that the solution is at x = -2 and y = 2
Find out more on equation at: brainly.com/question/2972832
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