The graph below shows the height of a projectile t seconds after it is launched. If acceleration due to gravity is –16 ft/s2, wh
ich equation models the height of the projectile correctly?
1 answer:
Answer:
see attached
Step-by-step explanation:
The x-coordinate of the vertex is given by ...
x = -b/(2a)
for f(x) = ax^2 +bx +c.
We see that the vertex is at x = 1, and we are given a = -16. Then we can find "b" from ...
1 = -b/(2(-16))
32 = b
We know the y-intercept of the equation is 5 (the starting height), so the equation must be ...
h(t) = -16t^2 +32t +5 . . . . . matches the last choice
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Answer:
An equation in function notation for the total cost of the book club will be:
- y = 20x + 12
Step-by-step explanation:
Given that Genesis needs to pay $12.00 for entrance into the book club.
Per month fee = $20.00
We know that the slope-intercept form of a linear function is
where m is the slope and b is the y-intercept
As the rate of change is also called the slope.
The rate of $20.00 per month would be termed as the slope = m = 20
One time fee = $12.00, meaning the y-intercept = b = 12
Thus, the equation becomes
- y represents the total cost
- x represents the duration
- m represents the rate of change = m = 20
- b represents the y-intercept = b = 12
y = 20x + 12
Therefore, an equation in function notation for the total cost of the book club will be:
- y = 20x + 12