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: 0.22
Step-by-step explanation:
We can use the points (-2, -5) and (18, -5) to solve.
Slope formula: y2-y1/x2-x1
= -5-(-5)/18-(-2)
= 0/20
= 0
Best of Luck!
Answer:
(B) 20
Step-by-step explanation:
Let small puppet be represented by-----------------s
Let large puppet be represented by-----------------l
Total number of puppets expression will be: s+l =25---------a
The expression for total costs will be : 1$ s + $2l=$30-------b
Equation a can be written as; s= 25-l ------------c
Use equation c in equation b as
$1( 25-l )+$ 2l = $30
25-l + 2l = 30
25+l =30
l= 30-25 =5
l, large puppets = 5
s, small puppets = 25-5 = 20
Answer choice A is incorrect because 25 is the total number of all puppets
Answer choice C and D are incorrect because the numbers are less that that of small puppets.
-3|x-3|=-6
divide both sides by -3
|x-3|=2
assume
x-3=2 and
x-3=-2
x-3=2
add 3
x=5
x-3=-2
add 3
x=1
x=5 or 1
