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eimsori [14]
3 years ago
11

A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

ance, x, in metres, from the end of the board is given by y= -x^2 + 2x + 3. What is the diver's maximum height?
Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of x^2 is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

y= -x^2 + 2x + 3

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, x=-\dfrac{b}{2a}

x=-\dfrac{2}{2*-1}\\x=1

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

y(1)= -1^2 + 2(1) + 3=-1+2+3=4m

The maximum height of the diver is therefore 4 meters.

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Answer:

The anwser is B.) 49

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If you subtract 79 (the amount of 7th graders riding the bus) from 128 (the total number of 7th graders) you will get 49. Therefore 49 is the answer.

Hope this helps!!

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3 years ago
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