Find if f(x) = 3x and g(x) = x + 1.

Answers

Answer 1
Answer: f\circ g=f(g(x))\n\nf\circ g=3(x+1)=3x+3

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An electrician charges a $20 house call fee plus $30 per hour of work. Which equation represents this relationship?An electrician charges a $20 house call fee plus $30 per hour of work.

3.242424 as a mixed number

Answers

Answer:

3 8/33

Step-by-step explanation:

Compute the sales tax on the following transactions. An article retails for $37.50. The city sales tax is 6%, and the federal excise tax is 8%. How much does the article cost altogether?

Answers

Answer:

The article will cost altogether:

                       $ 42.75

Step-by-step explanation:

It is given that:

The  retail price of the article is: $ 37.50.

Also, the article will hold a city tax of 6% and a federal excise tax of 8%.

Hence, the total percent tax on article is: 6+8=14%

This means that the cost price of the article is:

Retail Price of article+14% of retail price.

=  37.50+14% of 37.50

= 37.50+0.14×37.50

= 37.50+5.25

= 42.75

           Hence, the article will cost:  $ 42.75

First you must find the rate of both taxes. Since its 8% and 6%, you must add them both together, then divide them by 100. 

14/100 = .14

Then for both rates you must add 1 because it is a tax increase.

1 + .14 = 1.14

Finally times 37.50 with 1.14

37.50(1.14) = 42.75

$42.75 is the answer.

 

Michael is 4 times as old as Brandon and is also 27 years older than Brandon. how old is Brandon

Answers

let's represent Brandon's age by x and Michael is 4 times as old as Brandon so 4x andx+ 27. The equation is
4x=x+27                                            Therefore Brandon is 9 years old.
4x-x=x-x+27                                           4x=4*9=36
3x=27                                                       x+27=9+27=36
3x/3=27/3   
x=9

A tree is 118 inches tall. How tall is it in feet and inches? prodft in

Answers

Answer:

So, the tree is approximately 9 feet and 10 inches tall.

Step-by-step explanation:

To convert the height of the tree from inches to feet and inches, you can use the fact that there are 12 inches in 1 foot.

First, divide the total number of inches (118) by 12 to find out how many feet are in 118 inches:

118 inches / 12 inches per foot = 9.8333 feet (approximately)

Now, since you have 9.8333 feet, you can express the height in feet and inches.

The tree is approximately 9 feet (whole feet) and 0.8333 feet (decimal portion of a foot).

To convert the decimal portion of a foot to inches, multiply it by 12 (since there are 12 inches in a foot):

0.8333 feet * 12 inches per foot = 10 inches (approximately)

So, the tree is approximately 9 feet and 10 inches tall.

Mrs. Malloy is ordering pizza for her Algebra class. One-fourth of the students wantcheese pizza. If five students want cheese pizza, how many students are there in total?
Use the variable s=students. Your answer should be written as s= your answer.

Answers

Answer:

20 students

Step-by-step explanation:

If 1/4 of the whole class is 5 then 5 + 5 + 5 + 5 = s.

This is because You have to divide the class into 4 parts ad you know each part has 5 people in it.

Look at the linear equation below.2x - 3y = -13

Which pair of numbers is a solution to the equation?
Select one:
(-5, 1)
(5, 1)
(5, -1)
(-5, -1)

Answers

The answer is (-5,1) because 2(-5)-3(1)=-13 :)