The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and
found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.
When the water was 4 feet from the end of the hose, what was its height above the ground?
A. 3.2 feet
B. 4.8 feet
C. 5.6 feet
D. 6.8 feet
When the water was 4 feet from the end of the hose, what was its height above the ground?
A. 3.2 feet
B. 4.8 feet
C. 5.6 feet
D. 6.8 feet
2 answers:
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Given:
You know that:
In order to solve the operation, you can follow these steps:
1. Distribute the negative signs. Remember the Sign Rules for Multiplication:
Then:
2. Combine the like terms (add the Real Parts and add the Imaginary Parts):
Hence, the answer is: Option B.
Answer:
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Step-by-step explanation:
Given
Given that the function f(x) and g(x) are inverse functions.
To determine
Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
<u>Determining the inverse function of f(x) </u>
A function g is the inverse function of f if for y = f(x), x = g(y)
Replace x with y
Solve for y
Therefore,
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.