Mathematics High School

if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
g(f(x))=___x^2+___x+___​

If F(x)=x^2+2x-4and G(x)=3x+1findg(f(x))=___x^2+___x+___

Answers

Answer 1

Answer:

Step-by-step explanation:

g(x^2 + 2x - 4)

3(x^2 + 2x - 4) + 1

3x^2 + 6x - 12 + 1

3x^2 + 6x - 11

Related Questions

Gabe bought 8 bananas at the market for $1.84. Lucy bought 6 bananas at the grocery store for $2.10 . One banana at the grocery store is $ _______________ more than one banana at the market.

Answers

35p


2.10 divided 6 =35p

Answer:

one banana at the grocery store is 12 cents more than on banana at the market

Simplify 7x^2 + 3 - 5(x^2-4)

Answers

Answer:

2x^2 + 23

Step-by-step explanation:

For this problem, we will simply combine like terms after using the distributive property:

7x^2 + 3 - 5(x^2 - 4)

= 7x^2 + 3 - 5x^2 + 20

= 7x^2 - 5x^2 + 3 + 20

= 2x^2 + 23

Cheers.

Answer:

2x^2 + 23

Step-by-step explanation:

The third option

What is the justification for step 2 in the solution process?
12 - X= 7x+32
Step 1: -X= 7x + 20
Step 2: -8x= 20
O A. the multiplication property of equality
O B. the addition property of equality
O C. the division property of equality
OD. the subtraction property of equality

Answers

Answer:

c- Division property of equality

Step-by-step explanation:

You would subtract 7x from the other side

Then divide by 8 to get x by itself.

Given that p(x) is a polynomial in 2 and a € R. If (x – a) is a factor of p(I), then p(a) must be
Select one:
a. negative
b. irrational
C. Zero
d. positive

Answers

C. Zero is the correct answer

A restaurant manager states the number of customers that enter the
restaurant is equal to 3 times the number of people that buy a hotdog from
the hotdog cart plus 15.
The manager also states that the number of customers that enter their
restaurant is equal to 2 times the number of people that buy a hotdog from
the hotdog cart plus 60.
What number of people buying a hotdog from the hotdog cart across the
street makes the equation 3x +15 = 2x +60 true?

Answers

Yes it is true because if 3x +15=2x+60 it is true

Answer:

Yes, that is true, and x=45.

Step-by-step explanation:

Yes, that's how you set up the equation I also listed the sets to solve it below:

3x+15=2x+60

-2x.     -2x

--------------------

x+15=60

  -15 -15

------------------

x=45

You can also plug it in to check your work.

3(45)+15=2(45)+60

135+15=90+60

150=150

HELP PLSSSS FAST!!WILL MARK BRAINIEST IF CORRECT!!!!!

Answers

Answer:

that i would have to go with the 1st or 3rd lne

Which inequality represented the situation: clint has to spend a minimum of $75 in order to use his coupon at the store

Answers

Answer:

i think its c

Step-by-step explanation:

I think thats its C because 75 is the lowest it can go.

19. The midpoint of JK is M(0, 1). One endpoint is /(-6, 3). Find the coordinates of
endpoint K. (Section 1.3)

Answers

Answer:

(6,-1)

Step-by-step explanation:

let coordinates of K be (x,y) then

[tex]0=\frac{-6+x}{2}\\or~-6+x=0\\x=6\\1=\frac{3+y}{2}\\y+3=2\\y=2-3=-1\\so ~K~is ~(6,-1)[/tex]

The coordinates of endpoint K will be (6,-1).

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

Given that the midpoint of JK is M(0, 1). One endpoint is (-6, 3). The other end will be calculated as below:-

0 = ( -6 + x ) / 2

-6 + x = 0

x = 6

The value of the y coordinate will be calculated as below:-

y = 2 - 3 = -1

Therefore, the coordinates of endpoint K will be (6,-1).

To know more about midpoint follow

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Kayla is going to Japan for vacation. She will exchange $300 for Japanese yen. The exchange rate is $1=85.74 yen. How many yen will Kayla receive?

Answers

Answer:

25,722 yen

Step-by-step explanation:

300x85.74 is the simplest way to do this and I am just adding words to compete this

Answer:

85.74 x 300 $ = 25722 Yem

x - 4 = 9
Can someone please help me

Answers

Answer:

13!

Step-by-step explanation:

add 14 both sides you should add up to 13 from 9 + 4 and then 13 divided by 1

Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.
Write an equation that represents the relationship between the dollar amount in her bank
account and the number of weeks of saving.
O 50w + 20 -T
20w - 50 -T
O 50 + 20w -T
O 50w - 20-T

Answers

The answer will be 50w+20-t

Brenden read 120 pages in 90 minutes. Which of the following has the same constant
of proportionality as Brenden's rate?
90 pages in 60 minutes
60 pages in 30 minutes
200 pages in 150 minutes
150 pages in 120 minutes

Answers

Answer:

200 pages in 150 minutes.

Answer
200 pages in 150 minutes

Explanation

150 minutes / 90 minutes = 1.666667

120 pages X 1.66667 = 200 pages

Find the difference quotient and simplify the answer. g(x) = 3x - 1 ​

Answers

Answer:

Consider the difference quotient formula.

f(x+h)−f(x) / h

Find the components of the definition.

g(x+h)=3h+3x−1

g(x)=3x−1

Plug in the components.

g(x+h)−gx / h = 3h+3x−1−(3x−1) / h

Simplify = 3

0.4x - 5 = 0.08x + 3 srry I forgot the x

Answers

Answer:

x= 25.

Step-by-step explanation:

To isolate "x", I first moved all terms containing x to the left side of the equation: 0.32x-5=3 (0.4-0.08=0.32). Then moved all terms not containing x to the right side of the equation: 0.32x=8. Finally, I divided 8 by 0.32 which equals 25. Thus, x=25. I hope this helped!

HELP!!!Find the measures of angles 1, 2, and 3. Show your work. Choose the correct measures of each angle. A. m∠1=77° m∠2=103° m∠3=77° B. m∠1=77° m∠2=103° m∠3=76° C .m∠1=75° m∠2=103° m∠3=75°

Answers

angle 2 = 103° ( vertically opposite angles )

angle 1 = angle 3

103° + 103° + 2 ( angle 1 ) = 360° ( angle 1 = angle 3 )

or, 206° + 2 (angle 1) = 360°

or, 2(angle 1) = 360 - 206

or, 2(angle 1) = 154°

or, angle 1 = 154/2 = 77°

Answer:

angle 2 = 103° (vertically opposite angles)

angle 1 = angle 3 = 77° (vertically opposite angles)

OPTION A IS CORRECT.

PLEASE CHECK MY ANSWERS!! 30 POINTS!

Answers

From what I’m thinking, I’m sure they’re all correct.

HURRY AND ANSWER

Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent using the interactive tool.

Answers

Answer i think it is 0.7 but i do not know

Answer:

0.7 but i do not know :)

Step-by-step explanation:

hello please asappp!! thank you soo much!

Answers

Answer:

I am thinking its 28 degree Fahrenheit

Answer:

28F

Step-by-step explanation:

T(march)-T(january)=38F

T(january)=-10F

T(march)-(-10F)=38F

T(march)=38F-10F=28F

Rachel's chocolate bar is 43% cocoa. If the weight of the chocolate bar is 68 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

Answers

Answer:

29.24 grams

Step-by-step explanation:

It is given that,

Rachel's chocolate bar is 43% cocoa

The weight of the chocolate bar is 68 grams

We need to find how many grams of cocoa does it contain. It means it will contain 43% of 68 grams. It can be solved as follows :

[tex]C=\dfrac{43}{100}\times 68\\\\C=29.24\ \text{grams}[/tex]

Hence, it will have 29.24 grams of cocoa.

using the diagram name three collinear points

Answers

What diagram.........

Answer:

there is no diagram

Step-by-step explanation:

57 toys are split into groups of 4 toys. What question do we need to answer here? pls answer quick! this test is already missing and I need to complete it! please no wrong answers :(( it's due in like 20 mins :/

Answers

Answer:

how many toys are in each group?

HELP ME PLS explain why

Answers

Answer: 110 square cm

=======================================================

Explanation:

All sides of a regular polygon are the same length. So the bottom side is also 8 cm.

Draw lines from the center to each vertex of the pentagon. Five triangles form. Each triangle has a base of 8 and a height of 5.5 (since all five triangles are congruent)

area of one triangle = 0.5*base*height = 0.5*8*5.5 = 22

area of five triangles = 5*(area of one triangle) = 5*22 = 110

5. Which has a value greater than 600 but less than
6,000.?
A. 6.1 x 103
C. 5.26 103
B. 5.9 ~ 104
D. 7.87 x 103

Answers

Answer:

C

Step-by-step explanation:

5.26×10^3=5260 which is less 6000 and greater than 600

What represents the area of a rectangle whose length is x − 6 and whose width is x − 8?

Answers

Answer:

Which of the following represents the area of a rectangle whose length is x - 6 and whose width is x - 8? A) x2- 14x - 48. B) x2+ 48. C) x2- 48. D) x2- 14x + 48 . and... for the first one multiply both out to get x^2-14x + 40 8 D 4(8x^3+a million) element out 4 utilising the x^3+y^3 formula, on (2x)^3 + a million^3)

Step-by-step explanation:

Point D best represents which of the following numbers?
tot
14
14.5
15
15.5
16

Answers

Answer:

yea your correct and 16.5

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

???

Algebra) Assessment How do you simplify this expression? -12-3. (-8+ (-4)2-6) + 2 Prepare your response to this question. When you are ready, may submit your response as an audio recording or as a written essay. Be sure to include the following: Requirements: • Include various key words you learned within this unit. • List your steps in order so that anyone can follow your steps.​

Answers

isn't the answer right there

Which expression is equal to
7 + 6 x 5 – 2?
OA) 13 X 5-2
O B) 7+ 11 – 2
O C) 13 X 3
OD) 37 - 2​

Answers

Step-by-step explanation:

7+6x5-2

First we eliminate.

It isn't A. because they didn't use order of ops.

It isn't B. because they added 6 and 5 instead of multiplying.

Now, we simplify.

7+(6x5)-2

7+30-2

37-2

35

hope it helps!

what is the sum of the equation? 15x-5x+5y+5y

Answers

Hey there!

ANSWER: [tex]10x+10y[/tex]EXPLANATION:

[tex]15x-5x+5y+5y[/tex]

To solve, first subtract the 2 numbers with x.

[tex]15x-5x=10x[/tex]

Now let's add the two numbers y.

[tex]5y+5y=10y[/tex]

So the answer will be 10x + 10y because 15x-5x is equal to 10x and 5y + 5y is equal to 10y. And then you just add the x and y.

[tex]10x+10y[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

10x+10y

Step-by-step explanation:

15x-5x= 10x

5y+5y= 10y

10x+10y

which functions have Domains that are all Real numbers?

Answers

are there any answers you can choose from

Use f(x)=-3/2x+11, g(x)=x^2-7x, and h(x)=|15-9x| to evaluate the function h(2/3)= ________

Answers

Answer:

The answer is nine

Step-by-step explanation:

The required solution of the  the function is 9.

It is required to evaluate the function.

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given :

Now the given function is,

f(x)= -3/2x+11

g(x)=x^2-7x

h(x)=|15-9x|

To evaluate the function

h(2/3)

Put x = 2/3 in h(x) we get,

h(x) = |15 - 9(2/3)|

h(2/3)= |15 - 18/3|

h(2/3)= |15 - 6|

h(2/3)= |9|

h(2/3)= 9

Therefore, the required solution of the  the function is 9.

Learn more about  function here:

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