Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
1.) -8 + 10(6 + 4r)
First multiply the 10 into (6 + 4r)
-8 + 60 + 40r
52 + 40r
2.) (8m² - 8m + 8) - (2m - 7m² - 6)
Distribute the - into (2m - 7m² - 6)
8m² - 8m + 8 - 2m + 7m² + 6
Combine like terms
15m² - 10m + 14
(idk if you need to factor this or if you can leave it as is)
If Y is 8, we solve by subtracting 8 on both sides,
0 = 6x
Divide by 6,
0 = x
x is equal to 0
2(a-b)
this is the answers
Answer:
Yes
Step-by-step explanation:
The amount of money Albert receives is described by the expression

The graph is shown below.
To determine if the relation is a function, we can use the vertical line test:
If a vertical line crosses the graph more than once in any location, the relation is not a function.
We see that at no place will a vertical line intersect the graph more than once.
The relation is a function.