Answer:
y = 1/4x - 8
Step-by-step explanation:
So we do not have the capabilities of graphing but I will help you find the equation.
Slope intercept form: y = mx + b
b = y intercept
m = slope
Put your equation together.
y = 1/4x - 8
Answer:
1/12³
Step-by-step explanation:
Negative power in the numerator becomes positive in the denominator
1/12³
Answer:
The length = 20
The width = 12
Explanation:
Let the Length of the garden be L and the Width W
Therefore the area of the garden = L*W
But we know that L = W + 8
Therefore the area of the garden can be expressed as W*(W + 8)
When the brackets are expanded this equals W^2 + 8W
The area of the recctangle which includes the path and garden will have a length of L + 8 (ie the length of the garden + 4 feet at the top and 4 feet at the bottom)
The width will be W + 8 (width of garden + 4 feet at the left and 4 feet at the right)
Therefore the area will be (W + 8)*(L +8)
Once again we know that L = W + 8
Therefore the area of the path/garden = (W +8)(W +8 +8)
=(W +8)(W +16)
=W^2 +24W + 128
We know that the path alone has an area of 320 square feet. Therefore if we subtract the area of the garden (W^2 + 8W) from the area of the path/garden the area left is the area of the path only
Therefore W^2 + 24W + 128 - (W^2 + 8W) = 320
W^2 + 24W + 128 - W^2 - 8W = 320
Simplify
16W + 128 = 320
Subtract 128 from both sides of the equation
16W = 192
divide both sides of the equation by 16
W = 12
As L = W + 8
L = 12 + 8 = 20
Answer:
Step-by-step explanation:
D. the number of people eating a pizza and the number of slices per person. As this number increases, the number of slices each person can take drops.
The number of ways a teacher can create a seating chart is 25!
<u>Explanation:</u>
Given:
Number of students = 25
Number of chairs = 25
Number of seating chart = ?
The number of seating arrangement would be 25! as there is no repetition of a student occupying the seat.
Therefore, the number of ways a teacher can create a seating chart is 25!