Answer:
120 MW/hour
Step-by-step explanation:
The formula of the average rate of change between two points in a function is:
Average rate of change (ARC) = f(x2) -f(x1)/(x2-x1)
Let's think the power demad as a function d(x) depending of the hour of the day, so the variable x= hour of the day.
Now we have:
d(5)= 1600
d(8)= 1960
If we apply the mentioned ARC formula = [d(8)-d(5)] MW/(8-5)hour= (1960-1600)MW/3hour= 360/3=120 MW/Hour
3x + 15 - 9 = 2(x +2)
3x + 6 = 2(x +2)
3x + 6 = 2x + 4
3x + 6 - 2x = 2x - 2x + 4
x + 6 = 4
x + 6 -6 = 4 - 6
x = -2
D. 1/3
A cube root can be written as an exponent: 1/3
![\sqrt[3]{x} = x^{\frac{1}{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D)
The slope of the line can be defined as y = mx + b, where m is the slope
To find the slope, one will need to use the expression Δy/Δx (y final - y initial)/(x final - x initial)
For this problem, that equals 1/3
Now we will use the point slope form
(y - y initial) = m (x - x initial):
y + 1 = 1/3 (x - 2)
y = 1/3x - 5/3
Answer:
144 in²
Step-by-step explanation:
Find the area of the larger square, then subtract the area of the square we cut out.
The larger square has side length of 15, so it has an area of 15² = 225 in²
The smaller square has side length of 9, so it has an area of 9² = 81 in²
The area left over is
225 - 81 = 144 in²
