For the following exercises, use a graphing calculator to approximate the solutions of the equation. Round to the nearest thousandth. f ( x ) = a b x + d . − 30 = − 4 ( 2 ) x + 2 + 2
For the following exercises, use a graphing calculator to approximate the solutions of the equation. Round to the nearest thousandth. f ( x ) = a b x + d . − 30 = − 4 ( 2 ) x + 2 + 2
For the following exercises, use a graphing calculator to approximate the solutions of the equation. Round to the nearest thousandth.
f
(
x
)
=
a
b
x
+
d
.
A student launches a toy model rocket from the top of a building. The rocket lands on a target on the ground below (shattering to pieces after the parachute fails to open). The equation for the rocket's height in meters is given by A(t) = -4/10(t-30) to the 2nd power + 650 where t is the time in seconds after launch.
How high is the building that the rocket was launched from? I think 650 represents the height of the building. Am I right?
What was the greatest height that the rocket reached, and how long after launch did it reach this height?
When I use he quadratic formula, I come up with 5 with the square root of 65 +30 as the x-intercept. I just don't know if that is the right answer and how that translates into seconds. My y-intercept is 290, so I am thinking that was the maximum height for the rocket. Is that correct?
When did the rocket land?
y=−3⋅f(x)+5 ?
show the graph after the equation above
A stone is thrown straight up from the roof of a 240-ft building. The distance (in feet) of the stone from the ground at any time t (in seconds) is given by
h(t) = −16t2 + 32t + 240.
If the stone were to miss the building, when would it hit the ground?t = sec
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