If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).

Answers

Answer 1

Answer:

4x + 1

Step-by-step explanation:

Multiply f + g by x because f + g is in parenthesis:

f(x) + g(x)

Then implement equation #1 for f(x) into our equation:

3x - 1 + g(x)

Then implement the other equation for g(x) into our equation:

3x - 1 + x + 2

Then switch the positions of -1 and +x:

3x + x - 1 + 2

Simmplify:

4x + 1

Pls consider giving my answer the Brainliest! Because it would help and mean a lot! ; )


Related Questions

PLEASE HELP!!!!!
Factoring

i know you add the 1st and 3rd terms
then find 2 numbers that multiply together that get that number.
but those 2 numbers also have to add up to the amount that is the middle term.

but how do i find that number? I need a detailed step by step explanation

example problems:
v^2-4v-60

x^2-13x+36

6x^2+78x+240

k^2+15k+50

a^2-8a+16

Answers

Answer: I’m going to do the first problem with a fully detailed explanation and just answer the other ones! :)

Factoring: v^2-4v-60

The middle number is -4 and the last number is -60.

Factoring means we want something like

(v+_)(v+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -4

Multiply together to get -60

Can you think of the two numbers?

Try 6 and -10:

6+-10 = -4

6*-10 = -60

Fill in the blanks in

(v+_)(v+_)

with 6 and -10 to get...

(v+6)(v-10)

Second Problem: (x-4)(x-9)

Third Problem: 6(x+5)(x+8)

Fourth Problem: (k+5)(k+10)

Fifth Problem: (a-4)(a-4)

To make the expression 4x-2 + (2x + 4) equivalent to 2(6x + 7), what must be the value in the box?

Answers

[tex]4x - 2 + (2x + 4) = 2(6x + 7) \\ [/tex]

[tex]4x - 2 + 2x + 4 = 12x + 14[/tex]

Simplification

[tex]6x + 2 = 12x + 14[/tex]

Subtract sides 2

[tex]6x + 2 - 2 = 12x + 14 - 2[/tex]

Simplification

[tex]6x = 12x + 12[/tex]

Subtract sides -12x

[tex]6x - 12x = 12x - 12x + 12[/tex]

Simplification

[tex] - 6x = 12[/tex]

Divided sides by -6

[tex] \frac{ - 6}{ - 6}x = \frac{12}{ - 6} \\ [/tex]

[tex]x = - 2[/tex]

It is must be in the box buddy.

And we're done...♥️♥️♥️♥️♥️

Solve for “x”

4x + 7 = 5

Answers

Answer:

x=-1/2 or -0.5

Step-by-step explanation:

You would subtract 7 on both sides and that leaves you with 4x=-2 then you would divided by 4 to get x=-0.5

Answer:

Here, this should work.

The answer is x = 1/2

what fraction is = to 1/3

Answers

Answer:

2/6

Step-by-step explanation:

if you multiply each factor by 2, you get 2/6 and if you simplify that you get 1/3.

Answer:

2/6 - 3/9 - 4/12 - and so on

Step-by-step explanation:

To find out what fractions are equal to (only) 1/3, you just add the numerator (the top) by one, and add the denominator (the bottom) by three.

Note: This ONLY works for finding out what fractions are equal to 1/3

Hope this helps! <3

3 boys shared a whole pizza. Andrew ate 25% of the pizza. alonso ate 5/8 of the pizza. Tyler ate .1255 of the pizza. who are the most?

Answers

Answer:

Alonso ate the most

Step-by-step explanation:

mark braniest pls

We went to the market to buy some fruit. We decided to buy some apples, strawberries, and oranges. If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30. If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90. If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70. Use the Gaussian Elimination Method to solve for the price of each fruit.

Answers

Step-by-step explanation:

Let the amount of apples bought be x

Amount of strawberries bought be y and;

amount of oranges bought be z

If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;

2x+3y+4z = 15.30 ........... 1

If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:

4x+y+2z = 10.90 ......... 2

If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:

5x+2y+x = 13.70 .......... 3

Solving the three equations simultaneously:

2x+3y+4z = 15.30 ........... 1

4x+y+2z = 10.90 ......... 2

5x+2y+z = 13.70 .......... 3

Reduce the number of equations

multiply equation 1 by 2 and subtract from equation 2

equation 1 * 2 will give:

4x+6y+8z = 30.6 ........... 4

eqn (4)-eqn(2)

6y-y + 8z-2z = 30.6-10.90

5y+6z = 19.7 ......... 5

Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.

eqn(2)* 5 will give:

20x+5y+10z = 54.5 .......... *

eqn(3) * 4 will give

20x+8y+4z = 54.8.......**

Subtsrct ** from *

8y-3y+(4z-10z)= 54.8-54.5

5y-6z = 0.3 .................. 6

Equate 5 and 6 and solve:

5y+6z = 19.7 ......... 5

5y-6z = 0.3 .................. 6

subtract:

6z+6z = 19.7+0.3

12z = 20

z = 20/12

z = 1.67

Substitute z = 1.67 into eqn 6

5y-6(1.67) = 0.3

5y - 10 = 0.3

5y = 10.3

y = 10.3/5

y = 2.06

Substitute z = 1.67 and y = 2.06 into equation 1

From 1:

2x+3y+4z = 15.30

2x+3(2.06)+4(1.67) = 15.30

2x+6.18+6.68 = 15.30

2x+12.86 = 15.30

2x = 15.30-12.86

2x = 2.44

x = 2.44/2

x = 1.22

Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67

A Zoo keeps a tiger-to-lion ratio of 7:3. If the Zoo has room for 70 animals,
then how many of them can be tigers?

Answers

Answer:

49

Step-by-step explanation:

7x7=49

3x7=21

49+21=70

Answer:

49 tigers

Step-by-step explanation:

Let, there are 7x numbers of tigers

and 3x numbers of lions, where x is a proportionate constant.

Then by the condition,

7x+3x= 70

or, 10x =70

or, x = 7

so, tigers = 7×7= 49

" X is at least 2" can be represented by x > 2.


True
False

Answers

Answer: False, as you see there's the word "Least" so x can be equate to one. So therefore it's false.

Question 2(Multiple Choice Worth 1 points)
(03.05 LC)

Name the similar triangles.

triangles CBA and DEF with angle D congruent to angle C and angle E congruent to angle B

ΔABC ~ ΔDEF
ΔABC ~ ΔEFD
ΔABC ~ ΔDFE
ΔABC ~ ΔFED

Answers

Answer:

D) ΔABC ~ ΔFED

Step-by-step explanation:

Look at the little half-circles at the angles, A has cero, F too, C has one, D has one too, B has two, E has two too.

so A~F, B~E, C~D =  ΔABC ~ ΔFED.

3 fracciones equivalentes a 4/5

Answers

Answer:

8/10, 12/15, 16/20

Step-by-step explanation:

PLEASE HELP MEE!!!!!! :)))))

Answers

Answer:

B

Step-by-step explanation:

Mike completed an online course that contained 20 core topics in a total of
40 learning hours. How many topics did he complete in 12 hours time?

Answers

Answer:

6 hours

Step-by-step explanation:

What you have to do is find the unit rate, which would be 20/40 which is .5 ( half an hour, 30 mins ) . Then you would do 30 x 12 = 360 ( 6 hours ).

Ignore this pls . Z z z z z z

Answers

why post if I'm supposed to ignore LOL

What is a characteristic of all cubic functions? (Pictures included)

Answers

Answer:

I believe it's A: They are always increasing.

Step-by-step explanation:

The cubic function is one where the coefficient a, b, c, and d are correlational the variable are real numbers and are polynomial numbers. The function is either one or three real roots. The graph of the function is a cubic curve.

The example of a cubic function is that of  the forms of y = ax3 + bx2 + cx + d, where the a, b, c, and d are constants. The cube root function is inverse to the cube function.  

Hence they are increasing option A is correct.

Learn more about the characteristic of all cubic functions.

brainly.com/question/15913341.

PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER ​

Answers

Answer:

80 degrees

Step-by-step explanation:

both intersections are the same, so we can count them as one. We notice that one line is a straight line compared to other so we can subtract 100 from 180 and get 80

Answer:

80

Step-by-step explanation:

Vertical angles equal 360 in total and the angles across from each other equal the same. 100 x 2 = 200

360-200 = 160

160/2 = 80

I hope this helps enjoy your day!

what information do you need to know to write an equation relating two quantities that have a proportional relationship

Answers

Answer:Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.

Step-by-step explanation:

Samuel is y years old. In 10 years he will be 27. How old is Samuel?
Show work

Answers

Answer:

17

Step-by-step explanation:

(Samuel is         years old in ten years he will be 27.)

how do we find his age he is rignt now?

First: you need to find the key words.

Samuel is         years old in ten years he will be 27

secont: you find a way to do your problom.

 27 ↓

- 10  ↓

````````````

 17 ←

Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

good luck on your assignment

State whether the data described below are discrete or? continuous, and explain why. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are discrete because the data can only take on specific values. C. The data are continuous because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.

Answers

Answer:

The correct answer is:

The data are continuous because the data can take on any value in an interval. (C)

Step-by-step explanation:

Discrete data are data that can take on certain limited values. There is a limit to what values can be assigned to such data. For example, the number of children in a school will just be whole numbers, either 20 or 50 or 55 or 108, etc, you cannot have 100.5 children. This makes it limited to the values it can take on, hence it is discrete

Continuous data, on the other hand, are data that can take on any value within a scale. The possibility of assigning a value is unlimited. for example height. The height can be 3m, 3.8m, 4.57m, etc, there's no limit to the possibility that a height can take. Other examples are; temperature, weight, acceleration, volume etc. In this example the volume of a room in cubic feet can be 30ft³, 50.6ft³, etc. The possibilities are endless, hence it is a continuous data.

A sequence is considered arithmetic if there is a

A. Common difference
B. Initial term
C. Common ratio

Answers

Answer: Common difference

4. A recipe for orange water says, "Mix 3 teaspoons yellow water with 1 teaspoon red water." For this recipe, we might say: "The ratio of teaspoons of yellow water to teaspoons of red water is 3 : 1." Write a ratio for 2 batches of this recipe. Write a ratio for 4 batches of this recipe.

Answers

Answer:

2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water

4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water

Step-by-step explanation:

1 batch

Yellow water = 3 teaspoons

Red water = 1 teaspoons

Yellow water : Red water = 3 : 1

2 batches of orange water

Multiply the ratios by 2

Yellow water : Red water

= (3 : 1) * 2

= 6 : 2

2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water

4 batches of orange water

Multiply the ratios by 4

Yellow water : Red water

= (3 : 1) * 4

= 12 : 4

4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water

Answer:

2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water

4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water

Step-by-step explanation:

1 batch

Yellow water = 3 teaspoons

Red water = 1 teaspoons

Yellow water : Red water = 3 : 1

2 batches of orange water

Multiply the ratios by 2

Yellow water : Red water

= (3 : 1) * 2

= 6 : 2

2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water

4 batches of orange water

Multiply the ratios by 4

Yellow water : Red water

= (3 : 1) * 4

= 12 : 4

4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water

Step-by-step explanation:

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!!!

Answers

Answer:

11fl oz/per hr divided by 5.333=2.0625 or rounded to the nearest tenth 2.1 gallons per day.

Step-by-step explanation:

Jane’s bank account grew from $2175 to $2262. What was the percent increase in her account?


A. 2%

B. 4%

C. 7%

D. 10%

I am new to brainly. Will you please help me with this problem :))

Answers

B. 4% is the answer to the percentage increased

Answer:

B. 4%

Step-by-step explanation:

choose the correct congruence statement

Answers

Answer:

To write the congruence statement, you need to line up the corresponding parts in the triangles: \begin{align*}\angle R \cong \angle F, \angle S \cong \angle E,\end{align*} and \begin{align*}\angle T \cong \angle D\end{align*}. Therefore, the triangles are \begin{align*}\triangle RST \cong \triangle FED\end{align*}.

Step-by-step explanation:

help please :) thanksss

Answers

Answer:

I agree with your answer

Step-by-step explanation:

Answer:

You got it right it is C

Step-by-step explanation:

to get to the next exact point from (-4,-3) to (0,2) you have to rise 5 and shift 4 to the right, and with the slope being rise over run it would be 5/4

Enter an equation for the statement.

Four times the length of a segment x is 7ft.


the equation is ____=____

Answers

Answer: 4x= 7ft.

Step-by-step explanation: Since, there is a four and an unknown variable (x), put them together to create 4x. Then, put an equal sign, and put 7 feet next to the equal sign.

Solve G(x) for the given domain. Include all of your work in your final answer. Submit your solution.

G(x) = 3x 2 - 2x - 1
G(a + b) =

Answers

Answer: 3a^2+6ab+3b^2-2a-2b-1

Step-by-step explanation:

For G(x), we must plug in (a+b) into G(x):

G(a+b) = 3(a+b)^2-2(a+b)-1

= 3(a+b)(a+b)-2(a+b)-1

= factor: 3(a^2+ab+ab+b^2)- (2a+2b)-1

= multiply: 3a^2+3ab+3ab+3b^2-(2a+2b)-1

= now factor the last part: 3a^2+3ab+3ab+3b^2-2a-2b-1

= add/subtract: 3a^2+6ab+3b^2-2a-2b-1

Answer: 3a^2+6ab+3b^2-2a-2b-1

Answer:

Answer: 3a^2+6ab+3b^2-2a-2b-1

Step-by-step explanation:

For G(x), we must plug in (a+b) into G(x):

G(a+b) = 3(a+b)^2-2(a+b)-1

= 3(a+b)(a+b)-2(a+b)-1

= factor: 3(a^2+ab+ab+b^2)- (2a+2b)-1

= multiply: 3a^2+3ab+3ab+3b^2-(2a+2b)-1

= now factor the last part: 3a^2+3ab+3ab+3b^2-2a-2b-1

= add/subtract: 3a^2+6ab+3b^2-2a-2b-1

Answer: 3a^2+6ab+3b^2-2a-2b-1

Step-by-step explanation:

Simplify this equation:

6x−7+3x+2

Answers

Answer:

this is the answers when you simplified

9x-5

Step-by-step explanation:

I hope this help!

12c+12 =12c+9
How do I show the work for this

Answers

Answer:

hope that helps :))

Step-by-step explanation:

Step 1: Subtract 12c from both sides.

12c+12−12c=12c+9−12c

12=9

Step 2: Subtract 12 from both sides.

12−12=9−12

0=−3

I just worked it out on a piece of paper. You subtract 12 from both sides and your left with 12=9 which is not true so you use 12≠9

Help me please I don’t get it I put false and my teacher said it’s wrong

Answers

ur teacher is wrong im in algebra 2 an this is correct

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