Answer:
(8; 4), (-6; -4) and (2; 8)
Answer:
After 1 second, the ball will reach a maximum height of 16 feet
Step-by-step explanation:
The height of the ball after t seconds: h(t) = -16t^2 + 32t
The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola
t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second
then
h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16
After 1 second, the ball will reach a maximum height of 16 feet
<span>A.
Both functions have the same y-intercept.</span> TRUE
<span>B.
f(x) has a negative slope while g(x) has a positive slope.</span> Tricky question. Yes, f(x) has the negative slope m = -2. However, g(x), being a curve, does not have a single slope; rather, it has a varying slope that increases (becomes less negative) as x increases. Some people might argue that this statement is TRUE, while others would argue that it's FALSE, because the 2nd function does not have just one single value for the slope.
<span>C.
Both functions are linear functions.</span> ABSOLUTELY NOT. The first one is linear; the second is a "decaying exponential" whose graph is a curve.
D. <span>
g(x) has a common ratio of 4. Yes and no. I'd say the common ratio is (1/4), because each y value is (1/4) of the previous y value
</span>
5 ft = 5 * 12 in = 60 inches
Four consecutive even numbers are: x, x + 2, x + 4, x + 6
x + x + 2 + x + 4 + x + 6 = 60
4 x + 12 = 60
4 x = 60 - 12
4 x = 48
x = 48 : 4
x = 12
Answer:
Those shelves should be: 12, 14, 16 and 18 inches long.
Verification: 12 + 14 + 16 + 18 = 60 in = 5 ft.
2- 35
3- 9
4- 3:17
5- 10
6- 40
7- 25 minutes
8- 42
9- 24
10- Jennifer
11- 1:6
hope this helps (I don't know the first answer )
