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pentagon [3]
3 years ago
10

How you do this equation, please help please

Mathematics
1 answer:
Len [333]3 years ago
8 0

the equation would be c=$6.75(s)

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Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value
MArishka [77]

Answer:

  • y = 81-x
  • the domain of P(x) is [0, 81]
  • P is maximized at (x, y) = (54, 27)

Step-by-step explanation:

<u>Given</u>

  • x plus y equals 81
  • x and y are non-negative

<u>Find</u>

  • P equals x squared y is maximized

<u>Solution</u>

a. Solve x plus y equals 81 for y.

  y equals 81 minus x

__

b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.

  P equals x squared left parenthesis 81 minus x right parenthesis

__

c. Find the domain of the function P found in part b.

  left bracket 0 comma 81 right bracket

__

d. Find dP/dx. Solve the equation dP/dx = 0.

  P = 81x² -x³

  dP/dx = 162x -3x² = 3x(54 -x) = 0

The zero product rule tells us the solutions to this equation are x=0 and x=54, the values of x that make the factors be zero. x=0 is an extraneous solution for this problem so ...

  P is maximized at (x, y) = (54, 27).

7 0
3 years ago
Kurt's truck uses 12 gallons of gas to travel 144 miles. He has 6 gallons in the tank. How much more gas will he need to drive 3
LenKa [72]
I hope this helps you



12 gallons for 144 miles


6 galoons for 144/2=72 miles


1 gallon for 72/6=12 miles


if 1 gallon for 12 miles


how many gallons for 324 miles


?.12=1.324


?=324/12


?=27 miles
8 0
3 years ago
Is there any difference between 5*8 multiplication and 8*5 multiplication?
krok68 [10]
There is no difference, both equal 40.
5 0
3 years ago
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Is the function linear or nonlinear y=2x^2-4
Maru [420]
The function is nonlinear.
8 0
3 years ago
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What is a decimal that is equivalent to 3722 hundredths?
bezimeni [28]

Answer:

37.22

Step-by-step explanation:

8 0
3 years ago
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