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Tamiku [17]
3 years ago
8

Julie tips the ball over the net in a volleyball game. The graph shows the quadratic function that represents the height of the

ball, in feet, when it is a horizontal distance of x feet from Julie.
A)14 feet
B)6 feet
C)3 feet
D)3.5

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

We are given a graph for the height of the ball with respect to horizontal distnace x of the ball from Julie.

From the graph, we can see the position of Julie is at (0,0). And starting height of the ball when thrown is 6 feet.

Then it moved to the maximum height of 14 feet. And hit to the ground when it has position on x-axis is 3.5 feet.

<em>Because we can see the parabola is crossing x-axis at 3.5 on the right.</em>

<em>That represents distance of the ball from Julie when it hit to the ground.</em>

<h3>Therefore, it has a horizontal distance of 3.5 feet from Julie.</h3>
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If an object is projected upward with an initial velocity of 123 ft per​ sec, its height h after t seconds is h=−16t2+123t. Find
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Step-by-step explanation:

Given that:

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h=-16t^2+123t

Here, <em>t </em>will always be positive, so 123t and 16t^2 will also be positive.

But coefficient of 16t^2 is negative, that means something is subtracted from the positive term 123t.

To find:

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Given that t=5 seconds.

Let us put the value in the given relation of h and t:

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Answer:

The price of each burger is $4

The price of each order of fries is $2.5

Step-by-step explanation:

* <em>Lets explain how to change the story problem to equations</em>

- Jim bought 3 burgers and 2 orders of fries for $17

- Abby bought 2 burgers and 4 orders of fries for $18

- Assume that the price of one burger is x and one order of fries is y

* <em>Lets write two equations represents Jim and Abby orders</em>

∵ Jim bought 3 burgers and 2 orders of fries for $17

∴ 3x + 2y = 17 ⇒ (1)

∵ Abby bought 2 burgers and 4 orders of fries for $18

∴ 2x + 4y = 18 ⇒ (2)

* <em>Lets solve the two equations by the elimination method</em>

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- Divide both sides by -4

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- <em>Substitute the value of x in equations (1) or (2) to find y</em>

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- Subtract 12 from both sides

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- Divide the both sides by 2

∴ y = 2.5

∵ x represent the price of each burger

∴ The price of each burger is $4

∵ y represents the price

  of an order of fries

∴ The price of each order of fries is $2.5

6 0
4 years ago
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