Answer:
See attachment for graph
Step-by-step explanation:
Given
Required
The graph that shows the number of miles in x hours
We have:
Multiply both sides by x
So, the function is:
Complete the chart please :)
2 answers:
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Given Information:
Area of rectangle = 16 square feet
Required Information:
Least amount of material = ?
Answer:
x = 4 ft and y = 4 ft
Step-by-step explanation:
We know that a rectangle has area = xy and perimeter = 2x + 2y
We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.
So we have
xy = 16
y = 16/x
p = 2x + 2y
put the value of y into the equation of perimeter
p = 2x + 2(16/x)
p = 2x + 32/x
Take derivative with respect to x
d/dt (2x + 32/x)
2 - 32/x²
set the derivative equal to zero to minimize the perimeter
2 - 32/x² = 0
32/x² = 2
x² = 32/2
x² = 16
x = ft
put the value of x into equation xy = 16
(4)y = 16
y = 16/4
y = 4 ft
So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.
Verification:
xy = 16
4*4 = 16
16 = 16 (satisfied)
So for this, you'll be using the pythagorean theorem to solve for the height.
Solve the exponents to get
Subtract 81 on each side to get
Square root each side, and your answer should be
or 13.23 ft
Solve the exponents to get
Subtract 81 on each side to get
Square root each side, and your answer should be