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3 years ago

For the following exercises, evaluate the expressions, given functions f, g, and h:

Mathematics

1 answer:

sertanlavr [38]3 years ago

7 0

Answer:

- 16

Step-by-step explanation:

Evaluate f(2) by substituting x = 2 into f(x) , that is

f(2) = 3(2) - 3 = 6 - 3 = 3

Evaluate g(- 1) by substituting x = - 1 into g(x) , that is

g(- 1) = 8 - (- 1)² = 8 - 1 = 7

Thus

4f(2) - 4g(- 1)

= 4(3) - 4(7)

= 12 - 28

= - 16

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The distance DA between earth and the sun is 93,000,000 miles, the distance DE between earth and the moon is 240,000 miles, and

Rudiy27

Answer:

Step-by-step explaidknation:

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3 years ago

Which answer describes the transformation of f(x)=log2(x−5)−2 from the parent function g(x)=log2x ? A) It is the graph of g(x) s

damaskus [11]

Answer:

It is the graph of g(x) shifted 5 units right and 2 units down.

Step-by-step explanation:

Given : f(x)=log_2(x−5)−2

the parent function g(x)=log_2(x)

To get f(x) , 5 is subtracted from x

If we add any number with x then we shift left

If we subtract any number from x then we shift right

Here 5 is subtracted from x , so we shift 5 units right

Also -2 at the end

If we add any number at the end , then we shift up

if we subtract any number at the end , then we shift down

Here 2 is subtracted at the end , so we shift 2 units down

It is the graph of g(x) shifted 5 units right and 2 units down.

4 0

3 years ago

ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. R

lyudmila [28]

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

<h3><u>Solution:</u></h3>

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

$\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}$

<em><u>Hourly rate of Ace company:</u></em>

Rental price = $28

total time in a day 8 hours

$\text {hourly rate }=\frac{28}{8}=3.5$

So the hourly rate of Ace company is $ 3.5 per hour

<em><u>Hourly rate of Bart company:</u></em>

Rental price = $ 30

total time in a day 10 hours

$\text {hourly rate }=\frac{30}{10}=3$

So the hourly rate of Bart company is $ 3 per hour

<em><u>Comparing hourly rate of both companies</u></em>

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

<h3><em><u>How much lower?</u></em></h3>

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour

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I think the answer is d

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