Mathematics Middle School

Given F(x) =3x+2 and g(x) = 2x2 , find the following composite functions:
a. (g*f)(3)
b. (f*g)(x)

Answers

Answer 1

Answer:

b. (f*g)(x)

Step-by-step explanation:

Set up the composite result function.

g ( f ( x ) )

Evaluate  

g (f ( x ) )

by substituting in the value of  

f  into  g . g ( 2 x 2 + 3 ) =3 ( 2 x 2 + 3 ) − 2

Simplify each term.  

g ( 2 x 2 + 3 ) = 6 x 2 +9 − 2

Subtract  

2  from  9 . g ( 2 x 2 + 3 ) = 6 x2+ 7

Answer 2

Answer: B

Step-by-step explanation:

Set up the composite result function.

g ( f ( x ) )

Evaluate  

g (f ( x ) )

by substituting in the value of  

f  into  g . g ( 2 x 2 + 3 ) =3 ( 2 x 2 + 3 ) − 2

Simplify each term.  

g ( 2 x 2 + 3 ) = 6 x 2 +9 − 2

Subtract  

2  from  9 . g ( 2 x 2 + 3 ) = 6 x2+ 7

Related Questions

Find the sum.

100+(−26)

Answers

100+(-26)=74
Hope this helps!

which inequality is true?

Answers

D. Will be the correct answer
It's A because pie is 3.14

HELLPPP MEEEEEEE PLEASEEEEE.(

Answers

Answer:

you are right it's D

Step-by-step explanation:

you are adding 5.7 to the original width (w) and then multiple you l and w after adding it to get your answer 77.9

yes it is d good job

Which addition equation matches the number line?

Number line in image.

Answers

Answer:

A

Step-by-step explanation:

A matches the number line

Please answer!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

First problem: (2 1/2z^2 - 1/2z^2) + (7z +5z) + (4 1/2 - 4)

Ok I’m done. Thank to me :>

Give the position of A on this number line.
Write a fraction for your answer.

Answers

Answer:

4/6

Step-by-step explanation:

there is 6 dots and on the 4th dot there is a

4/6 because of the dots

How to do system of inequalities word problem

Answers

Answer:

1.Read the problem and highlight important information.

2.Identify the variables.

3.Find one piece of information in the problem that you can use to write an inequality.

4.Find a different piece of information that you can use to write a second inequality.

1] Read the problem and highlight important information.

2] Identify the variables.

3] Find one piece of information in the problem that you can use to write an inequality.

4] Find a different piece of information that you can use to write a second inequality.

5] Graph both inequalities on a grid. Make sure you use appropriate boundary lines and shade the correct half plane for each inequality.

6] Identify the intersection of the two inequalities and answer the questions that pertain to the problem.

Please help me out! I will give brainliest!

Answers

Answer:

C

Step-by-step explanation:

Answer: i think c

Step-by-step explanation: ‍♀️

Multiply.

[−2 3/11⋅(−4)]⋅(1 13/20)⋅(−10)

What is the product?

Enter your answer in the box.

Answers

the answer is 5198/11
[-2 3/11 x [ -4 ] x [ 1 12/20 ] x [ -10 ]
= 9 1/11 x 16-1/2
= -150 :)

I CANT HELP MY BROTHER SOLVE THIS QUESTION AND I DONT WANT HIM TO CALL ME D*UMB PLZ HELP

Answers

Answer:

yes

Step-by-step explanation:

7 weeks * 7 days per week = 49 days49 days * 2 meals per day = 98 total meals98 meals * 31 grams per meal = 3038 grams after 7 weeks

Answer: Yes, he will meet his goal of eating 3,000 grams of protein in 7 weeks.

Step-by-step explanation: So for the top part your answer is supposed to be 4400.2 grams of protein in 7 weeks. You can get that by adding up the grams of protein for each type of food on the chart. Then you multiply that by 2 to get the amount they will be eating for 1 day which is 89.8. After that, because you have to solve for how much they will be eating for 7 weeks, you will have to multiply 89.9 x 49(days in total). To get you to the answer 4400.2. Now you have your answer for the second part of the problem. Yes, he will meet his goal of eating 3,000 grams of protein in 7 weeks.

Cecil the acrobat has a new tight rope routine where he walks to the right 14 feet, performs a 5-foot
backflip twice in a row, and cartwheels forward 8 feet. Where does Cecil’s routine end?

Answers

I think the correct answer is 32 because if you add them together that’s 32
14-5(2)+8
14-10+8
4+8
12 feet

Select all the equations that have {4} as its solution set. 5 + 2x = 3x + 37−x=12x79−3x=12x+19x2+3=10x−21


5 + 2x = 3x + 3

7−x=12x

79−3x=12x+19

x2+3=10x−21

Answers

Answer:

Option 3 (79−3x=12x+19)

Step-by-step explanation:

When replacing x with 4 you will get the answer 67 = 67, which is true! The other three options are not true when replacing x with 4.

Equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.

Given that, the equations that have {4} as its solution set.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

1) Solution of an equation 5 + 2x = 3x + 3 is

3x-2x=5-3

⇒x=2

2) Solution of an equation 7−x=12x is

7−x=12x

⇒12x+x=7

⇒13x=7

⇒x=7/13

3) Solution of an equation 79−3x=12x+19 is

12x+3x=79-19

⇒15x=60

⇒x=4

4) Solution of an equation x²+3=10x−21 is

x²+3=10x−21

⇒ x²-10x+24=0

⇒ x²-6x-4x+24=0

⇒ x(x-6)-4(x-6)=0

⇒ (x-6)(x-4)=0

⇒ x=6 or 4

Therefore, equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Help PLEASE ITS DUE TODAY!!!!

Answers

So I’m not going to be able to give a exact answer but I can explain what you need to do. So a dilation is going to be multiplying the number given by the marked points on the graph and then re-graphing them, so since it’s 1/2 you to really just mark all the points but at there halves EX: 4 is now 2. 6 is now 3. So a dilation is just replotting all the numbers at half what they currently are

Point R is at (2, 1.2) and Point T is at (2, 2.5) on a coordinate grid. The distance between the two points is ____. (Input numbers and decimal point only, such as 8.2.)

Answers

Answer:

we can see that the x or the first number in both are 2 so there is no distance there, where there is a distance is the y which to find out we can just do 2.5-1.2=1.3

the distance between the two points is 1.3

1.3 that is the answer yw

I need help please!!!
I need the answer take your time to answer it please!

Answers

Answer:

Step-by-step explanation:

1 or 3

Try one of those

The answer is either 1 or 3

help help help help pls p

Answers

Answer:

10/12 simplified 5/6

Answer:

A) [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

So solve, change the sign into multiplication and use the reciprocal of the second number.

To find the reciprocal,  flip the numerator and the denominator.

The reciprocal of 4/5 is 5/4.

So you have [tex]\frac{2}{3}[/tex]×[tex]\frac{5}{4}[/tex]

Multiply like a normal expression.

You get 10/12, which can be simplified to [tex]\frac{5}{6}[/tex]

if all functions are relations, are all relations functions? Explain your answer

Answers

Answer:

No, because some relations are not functions. Relations are equations that begin with x=, and let's say x=5.

This is not a function because if you graph this line, it is vertical, and functions can't share the same x coordinate point (input) with other y coordinate points (output). There must be one output for every input, meaning that this relation is not a function.

Step-by-step explanation:

No, just because functions are relations Doesn’t mean it’s the same for the other

DUE IN A FEW HOURS HELP PLS

Answers

Answer:

It's B

Step-by-step explanation:

If you rotate it until the 6m is on the bottom, and you flip the triangle, you'll see that they have an equal ratio for all sides.

Answer:

I know somebody answer but its B

Step-by-step explanation:

Evaluate the expression for the given values.

8x+2yz, where x=12, y = 4, and z = 2

Answers

Answer:

112

Step-by-step explanation:

8x+2yz is our starting equation

8(12)+2(4)(2) I then substitute the variables for their numbers

96+2(4)(2) I then multiply 8x12, which equals 96.

96+8(2) I now multiply 2x4, which is 8.

96+16 I finally multiply 8x2 which is 16

112 Lastly I then add 96+16 which equals 112.

First, you have to plug in the variables
Here’s how:
8(12) + 2 x 4 x 2
96 + 16 =
112
That’s how you solve it! Hope it helps

hey help quick quick help

Answers

Answer: A

If you have 6 pounds of grapes and you 1/2 its basically divided it by 1/2 so the answer is A

Answer:

I think its d or c. I don't think it would be a because is 6 divided by 1/2

D and c describes what 6 divided by 1/2 is

Step-by-step explanation:

I am supposed to find A and B. Please hurry. Pt.2

Answers

Answer:

if im right A is 3 and B is twelve

Step-by-step explanation:

sorry if im wrong

What is the value of the expression ((9-5)2 - 1 ) divided by 3?

Answers

Answer:

5

Step-by-step explanation:

((9-5)² - 1 ) ÷ 3 =(4² - 1) ÷ 3 = (16 - 1) ÷ 3 = 15 ÷ 3 = 5

Answer:

[(9 - 5)^2 - 1] / 3

[4^2 - 1] / 3

[16 - 1] / 3

15 / 3

= 5

HELLLP meeeee PLEASE !!

Answers

Answer:
X ≤ 352 - 108
X ≤ 244

Select all the statements you agree with.

1.A parallelogram has six sides.
2.Opposite sides of a parallelogram are parallel.
3.A parallelogram can have one pair or two pairs of parallel sides.
4.All sides of a parallelogram have the same length.
5.All angles of a parallelogram have the same measure.

Answers

Answer:

2, 3, 5

Step-by-step explanation:

2.Opposite sides of a parallelogram are parallel.

3.A parallelogram can have one pair or two pairs of parallel sides.

5.All angles of a parallelogram have the same measure.

1-X

2-YES

3-YES

4-X

5-X a trapezoid has different angles yet it is still a parallelogram.

Rewrite 2/5 book and 1/2 hour as a unit rate

Answers

Answer:
A is correct
Step-by-step explanation:
=> 215 = 0.4
=> 1/2 = 0.5
=> 0.4/0.5
=> 4/5
The Answer is A, 4/5 book/hour.

Hope this helps! ☺️

I have to find whether these are parallel, perpendicular, or neither. please explain how to put these equations into slop int form:)

3x + 5y + 10
5x - 3y = -6

Answers

Answer:

3x + 5y + 10= 3

5x - 3y = -6

Step-by-step explanation:

1. m=-3/5

2. Simplifying

5x + -3y = 6

Solving

5x + -3y = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

5x + -3y + 3y = 6 + 3y

Combine like terms: -3y + 3y = 0

5x + 0 = 6 + 3y

5x = 6 + 3y

Divide each side by '5'.

x = 1.2 + 0.6y

Simplifying

x = 1.2 + 0.6y

Hope this helps

X=1.2+0.6y this is the answer

Please help im offering 100 points and brainliest to the first real awnser!
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results.
Students
A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9.

Teachers
A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9.

Based on the shape of the two dot plots, which statements correctly compare them? Select three choices.

Answers

Answer:

the answer is a: The mode for the students is 2 and the mode for the teachers is 4.

Hope this helps, have a nice day/night! :D

Answer:

The modle for the students is 2 and for the teachers is 4. A is your answer

Step-by-step explanation:

What is the equation of the line that passes through (0, 3) and is perpendicular to y = = x + 5?
5

Answers

Answer:

D

Step-by-step explanation:

mperpendicular =-43

Answer:

The answer is A

Step-by-step explanation:

The sum of 5.5 and twice a number is -10
What is the number?

n = 7.75

n=2.125

n= -7.75

n=-2.125

Answers

The answer is n= 7.75.

Answer:

n=-7.75

Step-by-step explanation:

Based on the given conditions, formulate: 5.5+2×X=-10

Rearrange unknown terms to the left side of the equation:2x=-10-5.5

Calculate the sum or difference:2x=-15.5

Divide both sides of the equation by the coefficient of variable:x=-15.5/2

Multiply both the numerator and denominator with the same integer:-155/20

Cross out the common factor:-31/4

get the result:  -7.75

Answer: -7.75

Evaluate (x *3 − 15) − (y + 6) for x = 4 and y = 1.
1.) 26
2.) 31
3.) 42
4.) 64

Answers

3 should be the right answer
The answer is 1. 26 I’m pretty sure
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