A) $90
b) 33.34 (round to 34 if you need a solid number)
c) $13.50 an hour
Answer:
Warm front and Cold Front I believe.
Step-by-step explanation:
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
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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
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c. Find the domain of the function P found in part b.
left bracket 0 comma 81 right bracket
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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).
37% is grater than 37/50 because 37% if 37/100 and 37/50 is only 0.74%
Answer: It would equal 1/27.
Step-by-step explanation: Any number raised to a negative exponent, essentially means you reciprocal to get rid of the negative. After that, you do the math for the number in the denominator, without considering the negative sign. You could also do it the other way, do the function first without the negative, 3^3 is 27 and then applying the negative, reciprocal it to 1/27.
