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solniwko [45]
2 years ago
5

PLS!

Mathematics
1 answer:
Mars2501 [29]2 years ago
4 0

Answer:

Enterprise charges more for a 6 day rental.  ($284 for Hertz and $294 for Enterprise). Avery would save $4 if he rented with Hertz for 4 days.

Step-by-step explanation:

H = Hertz

E = Enterprise

x = Days rented

T = Total cost for x days, in $

<u>Hertz:</u>   TH = 42x + 32

<u>Enterprise: </u> TE= 45x + 24

====================

6 Day Rental:

TH = 42*(6) + 32,    =  $284

TE  = 45*(6) + 24     =  $294

4 Day Rental:

TH = 42*(4) + 32,    =  $200

TE  = 45*(4) + 24     =  $204

<u></u>

<u></u>

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Are you looking for the length from E to F?
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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.
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Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

xy = 288  \\  \\  \\  \\ \Rightarrow y= \frac{288}{x}

Substituting for y into the equation for the length of fencing needed, we have

P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}

For the amount of fencing to be minimum, then

\frac{dP}{dx} =0 \\  \\ \Rightarrow1- \frac{576}{x^2} =0 \\  \\ \Rightarrow \frac{576}{x^2} =1 \\  \\ \Rightarrow x^2=576 \\  \\ \Rightarrow x=\sqrt{576}=24

Now, recall that

y= \frac{288}{x} = \frac{288}{24} =12

Thus, the length of fencing needed is given by

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The drawing of a building shown below has a scale of 1 inch to 30 feet. What is the acual height in feet of the building?
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Approximate f by a Taylor polynomial with degree n at the number a. Step 1 The Taylor polynomial with degree n = 3 is T3(x) = f(
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Answer:

If you center the series at x=1

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Where R(x) is the error.

Step-by-step explanation:

From the information given we know that

f(x) = e^{2x^2}

f'(x) = 4x e^{2x^2}   (This comes from the chain rule )

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f^{(3)}(x) = 16xe^{2x^2}(4x^2 + 3)  (This comes from the chain rule and the product rule)

If you center the series at x=1  then

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Where R(x) is the error.

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2 years ago
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