Answer:
125feet
Step-by-step explanation:
Given the equation that modeled the height expressed as h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds.
The arrow reaches the maximum height at dh/dt = 0
dh/dt = -32t + 80
0= -32t+80
32t = 80
t = 80/32
t = 2.5secs
substitute t = 2.5 into the formula;
h = -16t^2 + 80t + 25
h = -16(2.5)^2 + 80(2.5) + 25
h = -16(6.25)+225
h = -100+225
h = 125
Hence the maximum height the arrow reaches is 125feet
Answer:
Check step by step explanation
Step-by-step explanation:
a) Let x represent the amount of rides she takes, the 6 and 2.5 represent the amount of money required to enter
A(x) = 1.5x + 6
B(x) = 2x + 2.5
b) You can find this by making the 2 equations equal to each other and solving for x
1.5x + 6 = 2x + 2.5
3.5 = .5x
7 = x
7 rides make them equal cost
c) Plug in 5 for each of the equations and find out which one is cheaper
A(5) = 1.5 * 5 + 6
A(5) = $13.50
B(5) = 2 * 5 + 2.5
B(5) = $12.50
Carnival B is cheaper
C. 0.0031
6.2 divided by 2,000 = 0.0031
Answer:
7
Step-by-step explanation:
We need to plug in -1 for x. Here's what we get:
multiplying two negative numbers gives us a positive number
= 7
Answer:
1.1, -5
Step-by-step explanation:
53 - 9y = 1
from equation i
53-9y = 1
-9y= 1-53 = -52
y = -52/-9= 52/9 = 5⁷/₉
-7.2 + 2y = -5
add 7.2 to both sides
2y= -5+7.2 = 2.2
y= 2.2/2 = 1.1
