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3 years ago

The table below shows the points on the graph of the linear function f.

1 answer:

3 0

For this case, what we must do is apply the following rule for the function g (x):
g (x) = -f (x) - 2
We have then:

For x = -2:
g (-2) = -f (-2) - 2
g (-2) = - (- 1) - 2
g (-2) = 1 - 2
g (-2) = -1

For x = -1:
g (-1) = -f (-1) - 2
g (-1) = - (1) - 2
g (-1) = -1 - 2
g (-1) = -3

For x = 0:
g (0) = -f (0) - 2
g (0) = - (3) - 2
g (0) = -3 - 2
g (0) = -5

For x = 1:
g (1) = -f (1) - 2
g (1) = - (5) - 2
g (1) = -5 - 2
g (1) = -7

Answer:
the table for function g is:
<span> x -2 -1 0 1
g(x) -1 -3 -5 -7</span>

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2 years ago

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a community bike ride offers a short 5.7 mile ride for children and families. the short ride is followed by a long ride, 5 2/3 t

VLD [36.1K]

38 miles

Further explanation

<u>Given:</u>

A community bike ride offers a short 5.7-mile ride for children and families.

The short ride is followed by a long ride, 5²/₃ times as long as the short ride, for adults.

A woman bikes the short ride with her children, and then the long ride with friends.

<u>Question:</u>

How many miles does she ride together?

<u>The Process:</u>

Let us make a pattern for the short ride:

$\boxed{5.7} \rightarrow in \ miles$

Let us do a multiplication on a fraction at first.

$\boxed{ \ = \frac{2}{3} \times 5.7 \ }$

$\boxed{ \ = \frac{2}{3} \times 5\frac{7}{10} \ }$

$\boxed{ \ = \frac{2}{3} \times \frac{57}{10} \ }$

We crossed out 3 and 57.

$\boxed{ \ = 2 \times \frac{19}{10} \ }$

$\boxed{\boxed{ \ = 3.8 \ }}$

Then we make a pattern for the long ride, 5²/₃ (five and two third) times as long as the short ride:

$\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{3.8} \rightarrow in \ miles$

A woman bikes the short ride with her children, and then the long ride with friends. Let's calculate how many miles does she ride together.

The short ride: $\boxed{5.7 \ miles}$
The long ride: $\boxed{(5.7 \times 5) + 3.8 = 28.5 + 3.8 = 32.3 \ miles}$

$\boxed{ \ 5.7 + 32.3 = 38}$

Thus, she rides 38 miles together.

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Keywords: A community bike ride, offers, a short 5.7-mile ride, for children and families, followed by, 5 2/3 times, for adults, a woman, with friends, how many miles, she ride together

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