Answer: b) multiply row 1 by -3 and add the result to row 2
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
__
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).
(1.3X10^6ft/hr)(2.8X10^3hr)
(1.3*2.8)(10^6*10^3)
Rule (a^b)(a^c)=a^(b+c)
(3.64)(10^(6+3))
3.64(10^9)
3.64X10^9 ft
Technically we only had two significant figures and the answer should be:
3.6X10^9 if we were to express our answer to the correct number of significant figures....
Answer:
-133/26
Step-by-step explanation:
-9/2 + -8/13
First find a common domintor.
26 will be a common domintor.
2 × 13=26 so multiply -9 by 13= -117
13×2=26 so multiply -8 by 2= -16
-117/26 + -16/26 = -133/26
Answer to your problem is:
1 16/41
