Answer:
5 seconds
Step-by-step explanation:
Looking at your function (h(t) = -16t^2 + 48t + 160), I see that the peak height will be 196 feet, and that is achieved in 1.5 seconds.
h(1.5) = -16(1.5)^2 + 48(1.5) + 160
h(1.5) = -16(2.25)+ 48(1.5) + 160
h(1.5) = -36 + 48(1.5) + 160
h(1.5) = -36 + 72 + 160
h(1.5) = 36 + 160
h(1.5) = 196
Going down from that height, it would take 3.5 more seconds, so it would take 5 seconds in total
h(5) = -16(5)^2 + 48(5) + 160
h(5) = -16(25) + 48(5) + 160
h(5) = -400 + 48(5) + 160
h(5) = -400 + 240 + 160
h(5) = -400 + 400
h(5) = 0
The will intersect at a point with a positive x coordinate.
We can tell this because they actually already have a shared space on the graph. If you plot the 3 points of g(x) given, you'll see that f(x) and g(x) both share the coordinate (1, 3). As a result, we know that they do intersect and it is where x (1) is a positive number.
The answer would be B, due to the fact that the shaded area is above the line.
Answer:
2^3 • 3^2
Step-by-step explanation:
Answer:
15, 6 and - 3
Step-by-step explanation:
Given x - y = 3 , then
(a)
5(x - y) = 5(3) = 15
(b)
2x - 2y ← factor out 2 from each term
= 2(x - y) = 2(3) = 6
(c)
y - x ← factor out - 1 from each term
= - 1(x - y) = - 1(3) = - 3
