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Alinara [238K]
3 years ago
12

This parabola has x-intercepts

Mathematics
2 answers:
slega [8]3 years ago
8 0

Answer:

see the explanation

Step-by-step explanation:

we have the quadratic equation

y=-16x^{2} +32x-10

This is a vertical parabola open downward

The vertex is a maximum

Find the x-intercepts of the quadratic equation

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

-16x^{2} +32x-10=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16x^{2} +32x-10=0        

so

a=-16\\b=32\\c=-10

substitute in the formula

x=\frac{-32(+/-)\sqrt{32^{2}-4(-16)(-10)}} {2(-16)}

x=\frac{-32(+/-)\sqrt{384}} {-32}

x=\frac{-32(+/-)8\sqrt{6}}{-32}

x=\frac{-32(+)8\sqrt{6}}{-32}=\frac{32(-)8\sqrt{6}}{32}=0.39\ sec

x=\frac{-32(-)8\sqrt{6}}{-32}=\frac{32(+)8\sqrt{6}}{32}=1.61\ sec

therefore

This parabola has two x-intercepts representing the times when the dolphin's height above water is zero feet

slavikrds [6]3 years ago
8 0

Answer:

This parabola has <u>2</u> x-intercepts

Representing the times when the dolphin's height above water is <u>0</u> feet

There <u>are two real solutions</u> to this equation,  representing the number of seconds elapsed between the dolphin exiting and reentering the water.

Step-by-step explanation:

That's all the answers for this whole slide :)

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Answer:

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Step-by-step explanation:

Given,

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Hope this helps...

Best regards!!

6 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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Answer:

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