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Trava [24]
3 years ago
7

The data given for a football kicked from the field follows a quadratic model, h(x) = - 3x2 + 18x + 7. Where h(t) is the height

in feet and t is the in seconds. Using this model, what is the maximum height the ball will reach?
43 ft
7 ft
34 ft
17 ft
Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

C) 34

Step-by-step explanation:

use -b/2a to find the x value of the vertex (3)

then plug 3 into equation

- 3(3)² + 18(3) + 7

the answer is 34

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salma purchased a prepaid phone card for $20. long distance calls cost 24 cents a minute using this card. salma used her card on
suter [353]
We can set up an equation to solve this problem, but first we need to write out what we know.

$20 overall
$0.24 every minute
$13.52 remaining on the card

Now that we know our information, we can set it up in an equation. 

20 - 0.24x = 13.52

The 20 represents $20 overall when she first got the phone card.
We are then subtracting $20 from how must it costs a minute (which is 24 cents). The 'x' indicates the number we are trying to find (how many minutes her call lasted). Lastly, 13.52 is the result of everything, since she has $13.52 remaining on the card.

We can now solve the equation:

20 - 0.24x = 13.52
-0.24x = 13.52 - 20 /// subtract 20 from each side
-0.24x = -6.48 /// simplify
x = 27 /// divide each side by -0.24

Our solution is: x = 27.

-----

An easier way to solve this problem would be to first, subtract the total amount of money she had on the card when she first got it, and then the remaining total she ended up with.

$20 - $13.52 = $6.48

So, she spent a total of $6.48 on long distance calls, but since we are looking for how many minutes, we need to divide the total she spent and how much it costs per minute.

6.48 ÷ 24 = 27

We receive the same amount of minutes spent just like we did the last way we solved.

-----

Salma spent 27 minutes on the phone. 
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4 years ago
Answer the Question below Please
True [87]
1/2 as 3 out of the 6 are checkered

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3 0
2 years ago
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The gradient of the line segment between the points (2,-3) and (4,-7).
skad [1K]

To find the gradient of a line you use this equation: Rise / Run

I am assuming this is a graph where both the x and y-axis increase in value by one.

So first of all, you should draw out this graph.

Second, draw a point at each of the given coordinates.

Now, join these points by drawing a right angle triangle. Put simply, draw a line from the point (4, -7) down until it is on the same level as the point (2, -3), then draw a line across.

Finally, measure the length of both these sides and use them in the equation above.

Let's assume the rise (vertical line) and the run (horizontal line) are 5 and 8 respectively. We can do 5/8 to get a gradient which is 0.625.

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2 years ago
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stiv31 [10]

Answer:

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Step-by-step explanation:

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