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3 years ago

it takes noam 1 1/2 hours to walk to her friends house 2 1/4 miles away. what is her walking pace in miles per hour?

Mathematics

2 answers:

xeze [42]3 years ago

8 0

$1 \frac{1}{2} \div 2 \frac{1}{4} = \frac{3}{2} \times \frac{4}{9} = \frac{2}{3}$

Answer: 2/3 miles per hour

Mnenie [13.5K]3 years ago

8 0

Answer:

2/3 miles per hour

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let width = w

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If f(x) =-2+8 and g(x) = square root of x+9 which statement is true

lidiya [134]

The statement that -6 is in the domain of f(g(x)) is true

<h3>Complete question</h3>

If f(x) = -2x + 8 and g(x) = $\sqrt{x + 9$ , which statement is true?

-6 is in the domain of f(g(x))
-6 is not in the domain of f(g(x))

<h3>How to determine the true statement?</h3>

We have:

f(x) = -2x + 8

$g(x) = \sqrt{x + 9$

Start by calculating the function f(g(x)) using:

f(g(x)) = -2g(x) + 8

Substitute $g(x) = \sqrt{x + 9$

$f(g(x)) = -2\sqrt{x + 9} + 8$

Set the radicand to at least 0

$x + 9 \ge 0$

Subtract 9 from both sides

$x \ge -9$

This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........

Hence, the statement that -6 is in the domain of f(g(x)) is true