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:
x= -18
Step-by-step explanation:
Solve for
x
by simplifying both sides of the equation, then isolating the variable.
Answer:
2.6% (Approx)
Step-by-step explanation:
Given:
Number of favor voter = 41% = 0.41
Random selected voters = 25
Exact favor voter = 15
Find:
Probability that exactly 15 will in favor.
Computation:
Number of non-favor voter = 1 - 0.41 = 0.59
Given question is a combination problem.
⇒ ²⁵C₁₅ × 0.41¹⁵ × 0.59¹⁰ =
⇒ 0.02598130
= 2.6% (Approx)
Answer:
8x^2-8.76x+2.92
Step-by-step explanation:
Factor using FOIL and then simplify
