Mathematics High School

=
If f(x) = 3x – 2 and g(x) = x+2,
find f(g(x)).
3
f(g(x)) = [?]
Simplify your answer as much as possible.

Answers

Answer 1

Answer:

3x+4

Step-by-step explanation:

f(g(x))=3(x+2)-2

=3x+6-2

=3x+4

Answer 2

Answer:

Step-by-step explanation:

f(x) = 3x - 2   When you see something like f(g(x)) it means that wherever you see an x on the right, you put g(x).

f(g(x)) = 3(g(x)) - 2               Now wherever you see g(x) on the right, you put in x + 2

f(g(x)) = 3(x + 2) - 2            Now remove the brackets

f(g(x)) = 3x + 6 - 2

f(g(x)) = 3x + 4

I'm not sure what the 3 in line 4 means. 3x + 4 seems to be the answer you want however.

Related Questions

Solve.

−1.3=x−(−13.2)

What is the solution to the equation?

Enter your answer in the box.

x =

Answers

x= -14.5

Step-by-step explanation:

-1.3=x-(-13.2)

the two - signs cross eachother out, making it a +.

making the equation -1.3=x-(-13.2) turn into -1.3=x+13.2.

so you should automatically know your x is going to have to be negative.

What I did:

13.2+1.3=14.5,

but since the 1.3 was actually negative, (-1.3) the 14.5 will turn negative, making it -14.5

Find a solution to the inequality x > 4.
A. 8
B. 3
C. 4
D. 0

Answers

Answer:

8

Step-by-step explanation:

Isn't it simple because all other numbers are less than 4?

There are three times as many girls as boys in the school choir. If there are 24 girls how many singers are in the chior altogether

Answers

Answer: 8

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

nugget

Will mark BRAINLIEST

Answers

Answer:

the star is quadrant 2

Step-by-step explanation:

Answer:

The purple star

Shawnte bought a rug for the hall of her apartment. The rug is 3 feet wide by 18 feet long. What is the area of the rug?

Andrea is making potato salad for a buffet luncheon. The recipe says the number of servings of potato salad will be twice the number of pounds of potatoes. If she buys 30 pounds of potatoes, how many servings of potato salad will there be?

According to NCAA regulations, the dimensions of a rectangular basketball court must be 94 feet by 50 feet. What is the area of the basketball court?

Answers

Break up the problem, It will still come out as the same answer.

18x3=(10+8)3

10x3 + 8x3

30 + 24

54 Feet²

Hope This Helps

Answer:

1. 54 feet squared

2. 60 servings

3. 4700 feet squared

Step-by-step explanation:

1. 3x18

2. 30x2

3. 94x50

Determine whether the ratios form a proportion.
16/9, 28/15

Answers

Answer:

No

Step-by-step explanation:

One way of doing this problem is to reduce the given fractions as much as possible.  Unfortunately, neither ratio reduces.  So the fraction 16/9 is NOT equal to the fraction 28/15 and our conclusion must therefore be "the rations do not form a proportion."

Answer:

hope it helps 12 : 9 = 28 : 15

is FALSE

n less than 10
.......................

Answers

Answer:

n<10

Step-by-step explanation:

HELP ASAP Jessica is going to build some large wooden storage boxes, The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of each box with a special wallpaper. If she has a total of 1120 ft^2 of wallpaper, how many boxes can she cover?

Answers

Answer:

It should be 17.5 boxes I am not too sure If it is wrong please forgive me

Step-by-step explanation:

Answer: 7 boxes

Step-by-step explanation:

Simplify. √25a^2.
40 points but reported if troll.

Answers

I think that the answer is 5a.
The square root of 25 is 5 and the square root of a^2 is a.
Hope this helps and if possible could I please have the brainliest answer?

Sam paid $50 for her new skateboard. In addition, she paid $3.50 in taxes. What was the tax rate on Sam's purchase?

Answers

Answer: $53.50 ?

Step-by-step explanation:

what is -7/9 x -2/3 in simplest form

Answers

Answer:

heres my fake account and name

Step-by-step explanation:

Can someone help me out with this?

Answers

Answer:

-7.5x -12.5, x < -17.5x +2.5, x ≥ -1

Step-by-step explanation:

The absolute value function changes slope at its vertex. Here, that vertex is translated to x = -1. To the left of that point, the function is equivalent to one that negates its argument:

  |x| = -x . . . for x < 0

  |x| = x . . . for x ≥ 0

for (x+1) < 0

  y = -7.5(x +1) -5 = -7.5x -12.5

for (x+1) ≥ 0

  y = 7.5(x +1) -5 = 7.5x +2.5

This means we can write the piecewise function as ...

  [tex]y=\begin{cases}-7.5x-12.5,&\text{if }x<-1\\7.5x+2.5,&\text{if }x\ge-1\end{cases}[/tex]

or Question 5 i:
Harry is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£150
Hotel
Spending money
£50 for each day
£250
Work out the total cost of the holiday for 4 people for 7 days.

Answers

Answer:

the costs for the holiday for each person

£250

Step-by-step explanation:

So ,

£250 × 7 = 1,750

for these two rates, calculate the unit rate and determine if these two rates are proportional

Answers

Yes because both equal 1.5 per pound

A class of 30 students visits an art museum and a special exhibit while there.

a. Use the Distributive Property to write and simplify an expression for the cost.
b. Estimate a reasonable value for x. Explain.
c. Use your estimate for x to evaluate both expressions in part (a). Are the values the same?

PRICES:
Museum Exhibit
Child (under 5) Free Free
Student $8 $x
Regular $12 $4
Senior $10 $3

Answer quick!!

Answers

A reasonable price for X would be $ 2.

Since a class of 30 students visits an art museum and a special exhibit while there, and the prices were as follows:

Child (under 5) Free Free Student $ 8 $ x Regular $ 12 $ 4 Senior $ 10 $ 3

To estimate a reasonable value for x, the following logical reasoning must be made:  

Regular 12 Senior 10 Student 8 = -2 Regular 4 Senior 3 = -1

Therefore, a reasonable price for X would be $ 2.

Learn more about maths in https://brainly.com/question/25916930

One triangle weighs how much

Answers

Answer:

13

Step-by-step explanation:

Juan has 20 books to sell. He sells the books for $15 each.

The amount of money Juan makes from selling x books is represented by the equation y=15x
y
=
15
x



What is the theoretical range of the equation?

Question 2 options:

All multiples of 20 between 0 and 300, inclusive


All integers from 0 to 20, inclusive


All multiples of 15 between 0 and 300, inclusive


All real numbers

Answers

Answer:

Well u would multiply 20 x 15 to find out the highest if the range which is 300 . So that knocks it down to B or D. But since they're $15 each, It would be based of the multiples of 15 making your answer B .

The range is all the y values.....or the f(x) values .

So the practical range would be the multiples of 15 between 0 and 300,Inclusive .

Hope this helps you!!

3. Allison bought some shirts for her clothing store for $15 each. She received $50 off her entire purchase and spent a total of $400. How many shirts did Allison purchase for her store?​

Answers

Answer:

30

Step-by-step explanation:

15x30 = 450

Answer:

She purchased 30 shirts.

Step-by-step explanation:

She paid only $400 Dollars, because she got a discount of $50.

So the total before getting the discount was $450.

If you divide $450 by $15 (the price for 1 shirt) you come up with 30.

450/15 = 30

what is the expressions of ײ-3y when x = -5 and y=(2-)
​

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Plug the values of x and y in the given expression ~

[tex] \sf {x}^{2} - 3y[/tex]

[tex] \sf( - 5) {}^{2} - (3 \times 2)[/tex]

[tex] \sf25 - 6[/tex]

[tex] \sf19[/tex]

The equivalent value is 19

The answer is 19 hope this helped.

There are 4 Year 11 pupils in a football club, out of a total of 29 pupils.

Write this proportion as a percentage.
Give your answer correct to 1 decimal place when appropriate.

Answers

Answer:

14%

Step-by-step explanation:

So if we have 4 Year 11 pupils out of a total of 29 pupils at a football club, the fraction for that would be 4/29, if we convert 4/29 into a decimal number we get 0.13793103448, so we round this number up to the nearest 1 decimal place, and that would be 0.14 which equals 14%. Hope this helps.

Mae buys 7 boxes of drinks. The cost of each box of drinks is £7 and each box holds 12 cans.She sells 3/4 of the total number of cans for 70p each and the remaining cans for 40p each. WORK OUT THE TOTAL OF PROFIT HE MAKES

Answers

Answer:

  £3.50

Step-by-step explanation:

The total number of cans Mae bought was ...

  (12 cans/box)×(7 boxes) = 84 cans

The revenue from sales is ...

  (3/4)(84)(70p) +(1/4)(84)(40p) = 84(3/4×70p +1/4×40p) = 84(52.5p +10p)

  = £52.50

The cost of the drinks was ...

  (£7/box)×(7 boxes) = £49.00

Mae's profit is the difference between her sales revenue and her cost:

  profit = revenue - cost

  profit = £52.50 -49.00 = £3.50

please help quick

Which equation has only two solutions: x=3
and x=−3
?

A
x2=6

B
x3=27

C
x2=9

D
x3=9

Answers

Answer:

x^2 = 9

Step-by-step explanation:

Both 3 and -3 are 9 when squared.

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

Answers

Answer:

Please give Brainliest!

Step-by-step explanation:

The three dimensions are 36ft, 72ft, and 59ft.

"√2n-5 = 10."

Please Show Step By Step

Answers

Answer is 15√2/2. I think.

The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
a.6m
b.8m
c.9m
d.4m​

Answers

ANSWER:

9m is the answer

what times what will give 540

Answers

2x270=540 there for this is right !

Answer:

There are many:

10*54

5*108

2*270

4*135

And more

Step-by-step explanation:

2, 5, 2, 3, 3, 3

These are the multiplies of 540 you can just multiply and they always get you the same solution: 540

Hope this helps!

Can someone answer this​

Answers

Answer:

-2/3 is the correct answer

Step-by-step explanation:

hope this helps

Answer:

Number 2 is the answer.

Step-by-step explanation:

Rise/run

and the line is going down.


Kaya rented a limousine for prom. There was a one-time charge of $100 plus an hourly rate of the total
cost for the night was $347.50. How many hours did Kaya rent the limo for?

Answers

Answer:

3 hours

Step-by-step explanation:

it is $100 for 1 hour right. Ok so forget about the hourly rates. Then you are left with $300. $300 total÷100 per hour = 3 hours.

Answer:

The total is 3 hours

      Hope this help! good luck :)

can someone help me with this ​

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Question 1 :

[tex] \sf \sqrt{5 {}^{9} } [/tex]

[tex] \sf{(5 {}^{9} ) }^{ \frac{1}{2} } [/tex]

[tex] \sf {5}^{ \frac{9}{2} } [/tex]Question 2 :

[tex] \sf \dfrac{1}{ \sqrt[3]{12} } [/tex]

[tex] \sf \dfrac{1}{12 {}^{ \frac{1}{3} } } [/tex]

[tex] 12 {}^{ - \frac{1}{3} } [/tex]

Ok done. Thank to me :>

equation of the line (6,10) , (-3,-2)

Answers

The equation for this line is y=1.3x+2

Answer:

[tex]y=\frac{4}{3}x+2[/tex]

Step-by-step explanation:

using two points you can find the slope of the line using the formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plugging in the x- and y- values into the equation above, you'll get:

[tex]m=\frac{-2-10}{-3-6}=\frac{-12}{-9}=\frac{4}{3}[/tex]

so far, you have [tex]y = \frac{4}{3}x+b[/tex]

using any of the two points, you can solve for b. in this case, the point (-3, -2) is used.

[tex]-2=\frac{4}{3}(-3)+b\\-2=-4+b\\-2+4=-4+b+4\\2=b[/tex]

the overall equation is [tex]y=\frac{4}{3}x+2[/tex]

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