Step-by-step explanation:
We have,
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :
......(1)
Part (a) :
The maximum height reached by the ball is given by :

Part (b) :
The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

Answer: She combined unlike terms.
Step-by-step explanation:
You can only combine like terms. If a number has a variable, you must make sure that the number you're operating it with has the same variable raised to the same power (if applicable)
6.8w-4.7 is in its simplest form.
To be able to subtract these, 4.7 must have a ''w'' variable as follows;
6.8w-4.7w=2.1w
Answer:
y=-1(1)/(5)
Step-by-step explanation:
Answers:
- The direct variation equation is y = 5x
- If x = 4, then y = 20
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Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
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Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.