9. Use the given quadratic function to answer questions about the situation it models. (3 points total) The function h = -4.912 +501 + 30 models the height h (in meters) of the rocket t seconds after its launch.
(a) Graph the height versus time for the rocket, on the coordinate plane to the right. You should use Desmos
or a graphing calculator to help you
180
160
140
120
(b) Determine and label the height of the rocket at its vertex
maximum
100
80
60
(c) Determine and label the coordinate that shows how many
seconds it will take before the rocket hits the ground
40
20
0
2 4 6 8 10 12
Ahn 1B12020)
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simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3

3

step-by-step explanation: