F(x) = 3x² - 12
Finding where the graph crosses the axes will help us to determine the correct graph
When x = 0,
f(0) = 3(0)² - 12
f(0) = -12
So we have one point (0, -12)
When y = 0
0 = 3x² - 12
12 = 3x²
4 = x²
√4 = x
x = ⁺/₋ 2
So the graph crosses the x-axis at -2 and 2 and the y-axis at -12
The correct graph is option A
The equation in the problem solves the speed as 48.99 miles per hour. At this speed the car takes 100 feet to stop ( also shown in the equation as they replaced d with 100).
This means any speed below 48.99 miles per hour would stop before hitting the tree.
The fastest the car can go would be 48.98 miles per hour.
Justify by replacing s in the equation with 48.98 and solve for d:
48.98 ^2 = (sqrt( 30(0.8)d)
2399.04 = 24d
D = 2399.04/24
D = 99.96 feet
This is less than 100 feet so the car will not hit the tree.
Lets x = radius
x^2 + 10^2 = (x+8)^2
x^2 + 100 = x^2 + 16x + 64
16x = 100 - 64
16x = 36
x = 2.25
answer
B. 2.25
Answer:
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