The picture frame costs 4 times as much the calculator. We know that the calculator costs $12 so.....
4 x 12 = $48 is what the picture frame costs
12 / 3 = $4 is what the toy is.
In total she payed....
12
48
4 +
= $64
y = (x - 2)(x + 5) First I would multiply (x - 2) and (x + 5) together
y = x² + 5x - 2x - 10
y = x² + 3x - 10
Next I would plug in a number for x to find its y value. I will plug in 0
y = 0² + 3(0) - 10
y = -10
(0, -10) [this is the y-intercept (the y value when x = 0)]
Your answer is Graph A because the y-intercept is (0,-10)
Let's factorise it :
![\: {\qquad \dashrightarrow \sf {x}^{3} (x + 3) + [-5(x + 3)] }](https://tex.z-dn.net/?f=%5C%3A%20%7B%5Cqquad%20%20%5Cdashrightarrow%20%5Csf%20%20%20%20%7Bx%7D%5E%7B3%7D%20%28x%20%2B%203%29%20%2B%20%5B-5%28x%20%2B%203%29%5D%20%20%7D)
Using Distributive property we get :
⠀
Therefore,
Change in altitude:
42,000 - 18,000 = 24,000 feet
Rate of change = 24,000 feet / 12 minutes = 2,000 feet per minute
Because the plane was going down, the rate of change would be negative.
The rate would be -2,000 feet per minute.
