3 years ago

What us the range of the function y=x^2

Mathematics

1 answer:

forsale [732]3 years ago

3 0

[0, inf)

The least y-value the function can have is 0 because the square of a number cannot be negative.

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Given:

• AD = 3

• DC = 27

• BD = x + 3

Let's solve for x.

To solve for x, apply the altitude formula:

$\frac{AD}{BD}=\frac{BD}{DC}$

Where BD is the altitude.

Cross multiply:

$BD^2=AD*DC$

Plug in the values and solve for x:

$\begin{gathered} (x+3)^2=3*27 \\ \\ (x+3)^2=81 \end{gathered}$

Take the square root of both sides:

$\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\ \\ x+3=9 \\ \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\ \\ x=6 \end{gathered}$

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Step-by-step explanation:

A cyclist travels 6 miles in 15 minutes. What is her average speed in mph?

Step one:

given data

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Step two:

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