Answers:
1)
Mean = $349.2
Median = $352.5
Range = $210
2)
$499.90
3)
$355
I have attached a photo of the work written for this question:
If your total is $14.30 and you use a 25% discount you total would then be $10.73
So $10.73 would be your answer
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:
Given points ( -1 ,3 ) and slope(m) = -3
Step-by-step explanation:
<em>The </em><em>equation </em><em>of </em><em>a </em><em>line </em><em>is </em><em>given </em><em>by </em>
<em>y </em><em>-</em><em> </em><em>y1 </em><em>=</em><em> </em><em>m </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>x1</em><em> </em><em>)</em>
<em>y </em><em>-</em><em> </em><em>3</em><em> </em><em>=</em><em> </em><em>-</em><em>3</em><em> </em><em>(</em><em> </em><em>x </em><em>+</em><em>1</em><em> </em><em>)</em>
<em>y </em><em>-</em><em> </em><em>3</em><em> </em><em>=</em><em> </em><em>-</em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>3</em>
<em>3x </em><em>+</em><em> </em><em>y </em><em>-</em><em>3</em><em> </em><em>+</em><em>3</em><em> </em><em>=</em><em>0</em>
<em>3x </em><em>+</em><em> </em><em>y </em><em>=</em><em> </em><em>0</em>
<em>which </em><em>is </em><em>the </em><em>required </em><em>equation </em>
I think it’s 5/14 not positive but pretty sure
