Which system of equations below has exactly one solution? y = –8x – 6 and y = –8x + 6 y = –8x – 6 and One-halfy = –4x – 3 y = –8
2 answers:
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The velocity v and maximum height h of the water being pumped into the air are related by the equation
v=
where g = 32
(a) To find the equation that will give the maximum height of the water , solve the equation for h
v=
Take square root on both sides
= 2gh
Divide by 2g on both sides
= h
So maximum height of the water h =
(b) Maximum height h= 80
velocity v= 75 ft/sec
Given g = 32
h =
h =
h= 87.89 ft
The pump withe the velocity of 75 ft/sec reaches the maximum height of 87.89 feet. 87.86 is greater than the maximum height 80 feet.
So the pump will meet the fire department needs.
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Amount invested = $396
Interest rate = 13% per year
Time = 3 years
We will use the "Exponential growth formula" i.e.
Here,
P denotes Principle amount
r denoted rate of growth
t denotes number of years,
So, it becomes
Hence, First option is correct.