Answer: A. 15
Explanation:
n is equal to 15 because 15 divided by 5 is 3. therefore, 3 = 15/5.
Answer:
Option: D is the correct answer.
The equation of line in point-slope form is given by:
y-9=2(x-1)
Step-by-step explanation:
We know that the point-slope equation of a line is given by:
y-b=m(x-a)
where (a,b) is the point from which the line passes and m is the slope of the line.
Here we are given that:
The line passes through (1,9) and slope of the line is given to be 2.
Hence,
(a,b)=(1,9) and m=2
Hence, the equation of line is given by:
y-9=2(x-1)
Therefore, the point slope intercept equation of the line is: D
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).
Answer:
1177.5 inches
Step-by-step explanation:
Volume of a cylinder = 
, where h is the height
Radius = 10/2 = 5 radius is half the diameter
Height = 3*5 = 15 height is 3 times the radius
V = 3.14 * (5^2) * (15)
= 3.14 *25 * 15
= 1177.5
Answer:
8/3 or 5 1/3
Step-by-step explanation:
here's a visual tutorial I don't feel like writing, sorry
