Answer:
The point (0, 6.7) is the point where the ball was launched.
Step-by-step explanation:
The ball was launched from a point 6.7 feet from ground level.
In this scenario (ball tossed toward the goal), the constant c at the end of the function formula gives you the initial position (height).
Answer:
Infinite series equals 4/5
Step-by-step explanation:
Notice that the series can be written as a combination of two geometric series, that can be found independently:

The first one:
is a geometric sequence of first term (
) "1" and common ratio (r) "
", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: 
The second one:
is a geometric sequence of first term "1", and common ratio (r) "
". Again, since the common ratio is smaller than one, we can find its infinite sum:

now we simply combine the results making sure we do the indicated difference: Infinite total sum= 
Answer:
fourth option
Step-by-step explanation:
Given
f(x) = (x + 1)(x + 4)(x - 7)
To find the x- intercepts let f(x) = 0, that is
(x + 1)(x + 4)(x - 7) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 4 = 0 ⇒ x = - 4
x - 7 = 0 ⇒ x = 7
x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )