Answer:
Blurry
Step-by-step explanation:
Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
<em>Hence it takes 3 secs to reach the maximum height.</em>
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
<em>Hence the maximum height that the rocket reaches is 56m</em>
Answer:
2
Step-by-step explanation:
5x - 17
5(3) - 17 = 15 - 17 = -2
However, there is an absolute value sign over the expression. Abs value makes negatives turn positive. So -2 becomes 2.
✩ Answer:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
✩ Step-by-step explanation:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:
- -3 ÷ -3 = Cancels Out
- Turns into:

✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:
- -9 ÷ -3 = 3
- Turns into:

✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:
- Turns into:

✺ Add 2 to both sides:
- Turns into:

✺ Add 3 and 2 to get 5:
- 3 + 2 = 5
- Turns into:

✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:
- 5 ÷ 5 = Cancels Out
- Turns into:

✺ Divide 5 by 5 to get 1:
✺ So your answer is B,
.
(Number line is below.)
Answer:
-12
Step-by-step explanation: