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2 years ago

The vertex is located at (8.33,236.67). What does this point represent in context

Mathematics

2 answers:

Aneli [31]2 years ago

7 0

Answer:

The vertex is the maximum of the graph.

The maximum daily profit from the sale of soccer balls is $236.67.

The maximum profit occurs when the store charges $8.33 per soccer ball.

Bezzdna [24]2 years ago

6 0

Answer:

It depends on the situation being modeled.

Step-by-step explanation:

Assuming the vertex (8.33,236.67) is on a quadratic curve modeling height of an object in feet after t seconds.

Then t=8.33s is the time the object reached the maximum height.

The maximum height is the y-value of the vertex, which is 236.67 feet.

In this case the quadratic curve opens downwards.

The vertex is then the maximum point on this curve.

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The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions

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Answer:

<h3>Length = 12 ft</h3>

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Step-by-step explanation:

Given,

Area of rectangle = $42 \: {ft}^{2}$

Width = X

Length = 2x + 5

Now,

$x(2x + 5) = 42$

$2 {x}^{2} + 5x = 42$

$2 {x}^{2} + 5x - 42 = 0$

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$2x(x + 6) - 7(x + 6) = 0$

$(2x - 7)(x + 6) = 0$

Either

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Or,

$x + 6 = 0$

$x = 0 - 6$

$x = - 6$

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So, width = $\frac{7}{2} ft$

Again,

Finding the value of length,

Length = $2x + 5$

$2 \times \frac{7}{2} + 5$

$7 + 5$

$12$

Length = 12 ft

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