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nexus9112 [7]
3 years ago
12

Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o

f the ball above the ground and represents the time in seconds. The maximum value achieved by the function is represented by the vertex. Use factoring to answer the following: How many seconds does it take the ball to reach its highest point
Mathematics
1 answer:
tigry1 [53]3 years ago
7 0

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  h=-8t^2+40t  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

\frac{dh}{dt} =0

Now the differentiating the equation with respect to time t, we get

\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)

\frac{dh}{dt}=-16t+40

For maximum height,  \frac{dh}{dt} =0

So, -16t+40=0

 \Rightarrow 16t=40

\Rightarrow t=\frac{40}{16}

\Rightarrrow t = 2.5

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

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76 kilometers per day.

Step by step

468 divided by 6 = 76

76•6=468
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Which describes the graph of mc014-1.jpg on [0, 3)? The steps are at –2 from 0 to 1, at –1 from 1 to 2, and at 0 from 2 to 3. Th
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A horizontal segment at y = 0 for values x - 2 to 3.


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3)  That function is based on the function named integer part because if relates y with the integer part of x.

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y = 1 with the integer value of x between 1 and 2 (excluding 2)

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2 years ago
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You need to rent a video camera for your school project. Murphy's Camera charges a $30 rental fee plus $35 per day. Allied Renta
andreev551 [17]

A. If a camera is rented for 1 or 2 days, it would be logical to rent it from Murphy's.

B. If a camera is needed for more than 3 days, it would make sense to rent it from Allied rental.

C. Yes, if a camera is rented for 3 days both rentals charge the same money.

C. If you were need a camera for 3 days, you would have to pay $135 for both stores.

<u>Step-by-step explanation:</u>

Step 1; Murphy's camera costs $30 to rent and an additional $35 for each day of rental. So the equations are

y = $30 + (x × $35), where y is total cost and x is the number of days rented.

So for x = 1, y = $30 + (1 × $35) = $30 + $35 = $65

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So for x = 3, y = $30 + (3 × $35) = $30 + $105 = $135

So for x = 4, y = $30 + (4 × $35) = $30 + $140 = $170

So for x = 5, y = $30 + (5 × $35) = $30 + $175 = $ 205.

Step 2; Allied rental costs $45 to rent and a $30 for each day of rental. So the equations are as follows

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Step 3; Comparing both prices over 5 days. Murphy's is cheaper for until 2 days. On day 3 both the rentals cost the same but after day 4, allied rentals is the better option.

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