If
f(x) = x2 + 2x - 4
and
g(x) = 3x + 1
Find
f(g(x)) = [? ]x2 + [ ]+х

Answers

Answer 1

Answer:

f(g(x)) = 9x^2 +12x -1

Step-by-step explanation:

f(g(x)) means you replace the x in f(x) with g(x), which is 3x + 1:

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

then expand and simplify:

(3x+1)(3x+1) + 6x+2 - 4

9x^2+6x+1 + 6x+2 - 4

and then collect all like terms:

9x^2

6x + 6x = 12x

1 + 2 - 4 = -1


Related Questions

PLZ HELP!! ASAP PLZ!! NO FILES.

Answers

Answer:

Slope is (1/4)

Step-by-step explanation:

The slope is calculated by (6-5)/(5-1)=1/4

Write the following expression as a simplified polynomial in standard form.
(x-4)^2+3(x-4)+6

Answers

Answer:

x6−24x5+240x4−1280x3+3840x2−6144x+4102

Step-by-step explanation:

I don't know if this is right or not but there ig?

What is | −34 | ?
-------
l l
-------
l l
--------

Answers

Step-by-step explanation:

Here,

| −34 |

= 34

As,

| | are absolute symbols so it's denote only the neutral number such as, | - 1 | = 1

Answer:

34

Step-by-step explanation:

|-34|

The absolute value bars means taking the non-negative value

|-34| = 34

Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?” The results are shown in the table below:
(attached)

Help Andrew determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process. ​

Answers

Answer:

Honor students have a probability of 43% to non-honor students 25%.

Step-by-step explanation:

Prob of honor student getting math class choice = 215/500 = 43%

Prob of non-honor student getting math class choice = 125/500 = 25%

Does the graph represent a linear expression?

Yes or No

Please answer fast!

Answers

Yes it does goes over the c axis

solue for &
X(3 + X) = 3x + x²

Answers

3x+x^2=3x+x^2

3x-3x=x^2-x^2

which means x=0

3. Find the product, using suitable properties :
a) 26 x (-48) + (-48) x (-36)
b) 625 x (-35) + (-625) x 65

please answer fast 10 marks

Answers

a) 26 x (-48) + (-48) x (-36) = ( –1248) + ( + 1728) = – 1248+ 1728 = 480

b) 625 x (-35) + (-625) x 65 = ( –21875) + ( –40625) = – 21875 –40625 = –62500

I hope I helped you^_^

69 POINTS !!!!!!!
Which of the following describes the matrix?

[8 9 4]
[5 2 6]
[3 1 7 ]


3×3
3×9
9×3
2x3

Answers

Answer:  Choice A)  3x3

The 3x3 refers to the number of rows and the number of columns in that order.

As another example, this matrix

[tex]\begin{bmatrix}1 & 7 & 9\\13 & 41 & 2\\5 & 8 & 7\\92 & 3 & 5\end{bmatrix}[/tex]

is a 4x3 matrix because it has 4 rows and 3 columns.

Solve for p.

19p–2p+16p+12=

18
p=

Answers

Answer:

6

BRAINLIEST, PLEASE!

Step-by-step explanation:

-19p - 2p + 16p + 12 = -18

-5p + 12 = -18

-5p = -30

p = 6

Answer:

p = 6

Step-by-step explanation:

Given

- 19p - 2p + 16p + 12 = - 18 ( simplify left side )

- 5p + 12 = - 18 ( subtract 12 from both sides )

- 5p = - 30 ( divide both sides by - 5 )

p = 6

In the town of Rockville, 35 of the students in middle school participate in organized sports after school. If 14 of them play basketball, what fraction of the students play basketball?

Answers

Answer:

2/5

Step-by-step explanation:

The fraction that play basketball is the number that play basketball over the total

14/35

Divide the top and bottom by 7

2/5

Write and solve a word problem that can be modeled by addition of two negative integers.

Answers

Answer:

Step-by-step explanation:

Question:

Max needs to purchase a car and  withdraws $100 from his bank. In a few days he withdraws another $50 to make same repairs. In total what is the change in his bank balance from theese two costs?

Solution:

(-100) + (-50) =

-150

Answered by G a u t h m a t h

help pleasseeeeeeeee

Answers

Answer:

-1

Step-by-step explanation:

I know that i^4 = 1

i^10 = i^4 * i^4 * i^2

     = 1 * 1 * i^2

We know that i^2 = -1

    =1 *1 *-1

    = -1

if the ordered pairs (x-2,3y+1) and (y+1,x+3) are equal,find x and y
plz help me ​

Answers

x-2=y+1
x=y+3

3y+1=x+3
x=3y-2

3y-2=y+3
3y-y=5
2y=5
y=2.5

x=(2.5)+3
x=5.5

find the common ratio 3, 9, 27, 81

Answers

Answer:

Multiplying by 3

Step-by-step explanation

3 to 9 = 3 x 3

9 to 27 = 9 x 3

27 to 81 = 27 x 3

Therefore, the common ratio is multiplying by 3
The answer is 3

81/27 = 3
27/9 = 3
9/3 = 3

7t + 6 + 3v + 6v
Hey can someone help ne

Answers

Answer:

7t + 6 + 9v

Step-by-step explanation:

7t + 6 + 3v + 6v (since 3v and 6v are like terms you will add them both.)

7t + 6 + 9v

Hope this helps, thank you :) !!

Answer:

7t+6+9v

Step-by-step explanation:

7t+6+3v+6v

7t has no opponent it is =7t

6 is on it own =6

3v+6v=9v,reason is 3v has an opponent which is 6v so addition of 3v and 6v is =9v

so ur ans. is =7t+6+9v

Translate this phrase into an algebraic expression.
the sum of 4 and twice a number is 12

Answers

Answer:

4+2x = 12

Step-by-step explanation:

sum means add an is means equal

4+2x = 12

Answer:4 + 2x = 12

Step-by-step explanation:

the sum of 4 and twice a number is 12:

Have a great day! I hope this helps!! :)


Solve for X. Geometry

Answers

Answer:

11

Step-by-step explanation:

6+(2x+28)=x+23=-11 -> Answer can't be negative -> 11

Solve the equation |8y+4|=2|y−1|.
Explain.

Answers

[tex]\\ \sf\longmapsto |8y+4|=2|y-1|[/tex]

[tex]\\ \sf\longmapsto 8y+4=2y-1[/tex]

[tex]\\ \sf\longmapsto 8y-2y=-1-4[/tex]

[tex]\\ \sf\longmapsto 6y=-5[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{-5}{6}[/tex]

Use the information in the figure. If F=116, find E

58
32
116
64

Answers

Step-by-step explanation:

Given that,

m∠F = 116°

We have to find the value of mE.

Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, E and D will be equal. Let us assume the measures of both ∠E and ∠D as x.

→ Sum of all the interior angles of ∆ = 180°

→ ∠E + ∠D + ∠F = 180°

→ 116° + x + x = 180°

→ 2x = 180° – 116°

→ 2x = 64°

→ x = 64° ÷ 2

→ x = 32°

Henceforth,

→ m∠E = x

m∠E = 32°

[tex] \\ [/tex]

~

Brody works part-time at a veterinarian's office in addition to going to college, and he is paid twice a month. Which type of budget would likely work best for Brody?

Answers

The type of budget that would likely work best for Brody is biweeky budget.

Budget is an economic term that refers to the planning and advance formulation of expenses and income. The budget is a tool to organize expenses depending on the amount of money available.

The type of budget that would be best for Brody is a biweekly budget because he receives his payment every fifteen days (twice a month). So, he  can schedule his expenses each time he receives his payment, in this way he  does not spend all his money before he receives the next payment.

Additionally, weekly, monthly, and dairy are not correct options because they do not fit the time periods in which Brody receives payment for his services.

Learn more in: https://brainly.com/question/141889

Note:

This question is incomplete because options are missing, here are the options.

Daily budget

Biweekly budget

Monthly budget

Weekly budget

Daniel buys a new car.

In the first year, the value of the car decreases by 12% of its original value.

The value of the car at the end of the first year is £9680.

(a) Work out the original value of the car.

The value of the car at the end of the first year is £9680.
In each of the second year, the third year, fourth year and the fifth year, the value of the car decreases by
x% of its value at the beginning of each year.
The value of the car at the end of the fifth year is £5000.
(b) Work out the value of x.
Give your answer correct to 3 significant figures.

Answers

Answer:

Step-by-step explanation:

Value of the car at the end of the first year = £9680

Depreciation = 12 %

Original price = £ x

If we reduce 12% of original price from x, we will get £9680

x - 12% of x  = £ 9680

[tex]x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000[/tex]

Original price  = £ 11000

Given the following coordinates complete the glide reflection transformation.​

Answers

hopefully this answer can help you to answer the next question.

Explain why they substituted cos(60) with 1/2 ?

(Look at image)

Answers

9514 1404 393

Answer:

  equals can be substituted anytime anywhere

Step-by-step explanation:

cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.

__

If you don't substitute at some point, you find the answer to be ...

  x = 10/cos(60°)

Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.

To join the tennis club, there is a $10.20
initial fee and a $3.90 yearly fee. What
would be the value of the slope in this
situation?
Use this space to write down notes or work through problems
Your teacher will see what you wrate.

Answers

Answer:

10.20

Step-by-step explanation:

Let

y = Total fee

Initial fee = $10.20

Yearly fee = $3.90

Number of years = x

The equation:

y = 3.90x + 10.20

Recall,

y = mx + c

Where,

x = slope

c = y - intercept

Therefore,

The y - intercept from y = 3.90x + 10.20 is 10.20

Please do a explanation:’)

Answers

Answer:

3x-3xy-2xy-5x+6. ( multiply the number that were outside the bracket)

By BODMAS rule...

= 3x-5x-3xy-2xy+6

= -2x-5xy+6

hope you understood...

Answer and Step-by-step explanation:

We are given an expression to simplify. According to PEMDAS

(Parenthesis, Exponents, Multiplication, Division, Addition, and Subtract [in that order]), we need to start with the parentheses first.

With what we are given, we need to multiply the value outside of the parenthesis to the values inside the parenthesis.

Start with the first set of terms in the expression.

3(x - xy)

We need to multiply 3 to the x and negative xy.

3x - 3xy

Now we go to the next set of terms in the expression.

-x(2y + 5)

Distribute the x (multiply) to the 2y and 5.

-2xy - 5x

Now, we combine like terms within the entire expression.

Combining like terms is essentially saying to combine the terms that have similar properties/values. We have values that have an x with it, and xy with it, and no variables with it. We can combine only the values with the x variable together, and the values with the xy variable can only be combined together. The values without the variables (if you have more than one), will combine only with each other.

3x - 3xy - 2xy - 5x + 6

____________________________________________

-5xy - 2x + 6   <- This is the final answer; the simplified version of the expression.

#teamtrees #PAW (Plant And Water)

factor and solve problem in picture pleaseeee

Answers

I hope it's right have a great day :)

Help pleaseee, I’ll give brainly!

Answers

Answer:

1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6

2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4

3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5

4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4

5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8

6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8

7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7

8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6

9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11

10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1

11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14

20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1

12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3

I hope I helped you^_^

Answer:

1.

6r + 7 = 13 +7r

6r - 7r = 13-7

-r = 6

r = 6

2.

13 - 4x = 1-x

-4x +x = 1 -13

-3x = -12

x = -12 / -3

x = 4

3.

-7x - 3x + 2 = -8x -8

-10x +2 = -8x -8

-10x +8x = -8 -2

-2x = -6

x = -6 / -2

x = 3

4.

-8 - x  = x- 4x

-8 - x  = -3x

-x + 3x = -8

2x = -8

x = -8 / 2

x = -4

5.

-14 + 6b + 7 -2b = 1 + 5b

-7 + 4b = 1 + 5b

4b - 5b = 1 + 7

-b = 8

b = -8

6.

n + 2 = -14 -n

n + n = -14 -2

2n = - 16

n = -16 / 2

n = -8

7.

n - 3n = 14 -4n

-2n = 14 - 4n

-2n +4n = 14

2n = 14

n = 14 /2

n = 7

8.

7a - 3 = 3 + 6a

7a - 6a = 3 +3

a = 6

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

If you have nine over 1 cups of jelly worms in a recipe that calls for one over 2 cups of jelly worms how many batches of the recipe can you make

Answers

Answer:

13

Step-by-step explanation:

Evaluate: ab for a = 2 and b = 5

Answers

a:2 and b:5
an:2*5:10
ab=5×2ab=10answer is option c

please mark this answer as brainlist

in 16 years, Marissa will be five times older than she is today. How old is she?

Answers

Answer:

4

Step-by-step explanation:

1 5

2 10

3 15

4 20

i wrote it out

x+16=5x

16=4x

4=x

Marissa is currently four years old.

What is algebra?

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use.

Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

Let's represent Marissa's current age "x".

According to the given question, in 16 years she will be five times older than she is today, which we can express as:

x + 16 = 5x

Solving for x, we can subtract x from both sides:

16 = 4x

Dividing both sides by 4, we get:

x = 4

Therefore, Marissa is currently 4 years old.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ6

Other Questions
The direction equivalent to {40 W of S} is: A. 40 E of SB. 40 W of NC. 40 E of ND. 50 S of WE. 50 E of N Use the drawing tool(s) to form the correct answers on the provided number line. Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x 1).Its on a number line :) Janet and Megan are debating the use of student discounts by local stores near school. Janet argues, "When stores offer discounts to students with valid identification, it is price discrimination, because they are attempting to separate the market into two groupseach with different demands for that particular good." Megan responds with, "This is not a form of price discrimination, because there is no age restriction for students. Economists generally agree with : a. Dinab. Antonio I need help on choosing which one. Plz Help Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find PV Need help!8 2 (2 + 2) = Drag each label to the correct location on the image. Identify the particles and characteristics on this model of an atom. Positively charged Electron Proton Neutron Negatively charged Denise needs to remind all 557 patients that the doctor's office won't be open on Fridays during the summer months. What's the most appropriate way to communicate this information to her patients ? Solve the following word problems: please help! see question below :) (cos2a-cos2b) + (sin2a+sin2b)=4sin(a+b) Which of the following pairs of functions are inverses of each other? Do Not Weep (Crane):To whom does Crane address verses 1, 3, and 5? Why might he have chosen these people?How does the tone, or mood, differ between the non-indented verses and the indented verses? What does Crane emphasize in each of the two different kinds of verses? A number is chosen at random from 1 to 50. What is the probability of selectingmultiples of 10. Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend? Find the minimum and maximum value of the function on the given interval by comparing values at the critical points and endpoints.y= 1+x^2 2x, [0, 1] There was a scale drawing of a rectangular garden you plan to build in your backyard. The drawing shows a width of 5 inches by 8 inches long. The actual length of the garden must be 24feet long. What is the width of the actual garden? What is the area of the garden? Find a fraction equivalent tothat has a denominator of 10. What does a reader learn about a story by its tone?A. The time and place in which a story occursB. The events that occur in a storyC. The story's overall moodD. The character who tells a story Which of the following is an advantage of investing in a mutual fund?Question 5 options:A) Guaranteed profitB) No riskC) Professional managementD) Investments are made in only one company