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:
40 coins in each piggy bank
Step-by-step explanation:
Add all the coins together.
95 pennies+ 13 nickels+ 41 dimes+ 11 quarters=160 coins
Divide the number of coins by 4.
160 coins divided by 4 piggy banks= 40 coins in each piggy bank
I hope this helps ;)
I’m pretty sure that a is the answer
Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:
Area 2:
Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
In mathematical form, it would be: 2x ≥ 40
x ≥ 20
Hope this helps!
