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3 years ago

8

9. If a person bikes 0.24 miles in 1 minute, how far can they bike in 45 minutes?

1 answer:

igomit [66]3 years ago

8 0

Answer:

9. 10.8 miles

10. Yes

Step-by-step explanation:

To solve number 9 I multipled 0.24 x 45 to find the distance the biker can bike in 45 minutes.

Number 10 is yes because the numbers continue proportionaly. If you work it out, you can see that each half gallon takes the car 16 miles. The distances went 16 miles for 1/2 gallon, 32 miles for 1 gallon, would go 48 miles for 1 1/2 gallons, and went 64 miles for 2 gallons.

Hope it helps!

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Find the measure of each angle indicated<br> A) 77°<br> C) 74°<br> B) 76°<br> D) 82°

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3 years ago

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A bag has 3 white scraps,2 yellow scrapes,and 3 black scraps.You randomly pull a scrap from the bag,keep it out,and then pull ou

WINSTONCH [101]

Answer:

25/56

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Second pick without replacement

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3 years ago

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Let f(x) = x² + x - 6 and g(x) = 3x - 6, what are f ⋅ g and f/g. state the resulting function and it's domain.

Lady bird [3.3K]

Answer:

$f \cdot \: g = 3 {x}^{3} - 3 {x}^{2} - 24x + 36$

Domain: All real numbers

$\frac{f}{g} = \frac{x + 3}{3}$

Domain: x≠2

Step-by-step explanation:

The given functions are

$f(x) = {x}^{2} + x - 6$

and

$g(x) = 3x - 6$

$f \cdot \: g = f(x) \cdot \: g(x)$

This implies that:

$f \cdot \: g = (3x - 6)( {x}^{2} + x - 6)$

We expand to get:

$f \cdot \: g = 3x ( {x}^{2} + x - 6) - 6( {x}^{2} + x - 6)$

We expand to get:

$f \cdot \: g = 3 {x}^{3} + 3 {x}^{2} - 18x - 6{x}^{2} - 6 x + 36$

We group like terms to get:

$f \cdot \: g = 3 {x}^{3} - 3 {x}^{2} - 24x + 36$

This is a polynomial function, the domain is all real.

Also;

$\frac{f}{g} = \frac{f(x)}{g(x)}$

$\frac{f}{g} = \frac{ {x}^{2} + x - 6 }{3x - 6}$

Factor to get:

$\frac{f}{g} = \frac{(x - 2)(x + 3)}{3(x - 2)}$

Cancel common factors:

$\frac{f}{g} = \frac{x + 3}{3}$

The domain is all real numbers, except numbers that will make the denominator zero.

$x \ne2$

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4 years ago