Using the vertex of the quadratic equation, it is found that:
The rocket will reach its peak height of 345 meters above sea level at 6.53 seconds.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:


Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the equation is given by:
h(t) = -4.9t² + 64t + 136.
The coefficients are a = -4.9 < 0, b = 64, c = 136, hence the instant of the maximum height is given by, in seconds:

More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967
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Answer:
The equation is x= (7.74 /9) 6
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
If 9 pencils cost $7.74, we have to divide the total cost ($7.74) by the number of pencils (9) to obtain the price of 1 pencil.
Now that we have the price of 1 pencil, to obtain the cost of 6 of them we simply multiply the result by six.
Mathematically speaking:
x= (7.74 /9) 6
Where:
x = Cost of 6 pencils in $
Solving:
x = 0.86 x 6 = $5.16
Answer:

Step-by-step explanation:
The formula for nth term of a the sequence is given as 
<u>Finding the 10th term means finding
, which means to plug in 10 into n, in the nth term formula.</u>
