Answer:

Step-by-step explanation:
<u>Inequalities with Absolute Value</u>
We must recall the following rule:

Then:

We have the following inequality:

Subtracting 12:


Applying the rule:

Adding 4:

Operating:

Dividing by 13:

The solution expressed in interval form is:

C
Trinomial means three parts
A and C or trinomial's but the degree on a is at three and the degree of C is a one
Here the time function is h(t) = [6 + 96t - 16t^2] feet.
The initial height of the ball is 6 feet. That's when t=0. h(0)=[6+0-0] ft = 6 ft.
At t=7 sec, h(t) = [6 + 96t - 16t^2] feet becomes
h(7 sec) = h(t) = [6 + 96(7) - 16(7)^2] feet This produces a large negative number (-106 ft), which in theory indicates that the ball has fallen to earth and burrowed 106 feet into the soil. Doesn't make sense.
Instead, let t=1 sec. Then h(1 sec) = h(t) = [6 + 96(1) - 16(1)^2] feet
=[6 + 96 -16] ft, or 86 ft.
One sec after the ball is thrown upward, it reaches a height of 86 feet. It continues to rise, slowing down, until it finally stops for an instant and then begins to fall towards earth.
Use the formula an=a1+d(n−1)an=a1+dn-1 to identify the arithmetic sequence.
an=−4108400332687849998n+8216800665375699998
This might be wrong but I got 120/1008