f(x) = |2x + 1| + 3
g(x) = -2
find (f + g)(x)
A.(f + g)(x) = |2x + 2|
B.(f + g)(x) = |2x| + 2
C.(f + g)(x) = |2x + 1| + 1
D.(f + g)(x) = |2x + 4| - 2

Answers

Answer 1

Answer:

(f + g)(x) = I2x + 1I + 1 ⇒ C

Step-by-step explanation:

Let us solve the question

f(x) = I2x + 1I + 3

g(x) = -2

→ We need to find (f + g)(x), which means add the two functions

(f + g)(x) = f(x) + g(x)

→ Substitute the right side of each function on the right side

∴ (f + g)(x) = I2x + 1I + 3 + (-2)

→ Remember (+)(-) = (-)

∴ (f + g)(x) = I2x + 1I + 3 - 2

→ Add the like terms in the right side

∵ (f + g)(x) = I2x + 1I + (3 - 2)

(f + g)(x) = I2x + 1I + 1


Related Questions

If you have two 6-sided dice, each with the numbers 1-6 on a side, what is the theoretical probability of rolling 3 and 3 when both die are rolled together?

Answers

Answer:

The probability is 1/36

Step-by-step explanation:

Since we have two dies rolled together, the sample space is 36

What we mean by the sample space is the number of total possible results

So the total number of results that we can get is 36

Out of all our result, 3,3 can only appear once

so the probability of getting 3,3 on both dice is 1/36

Answer:

1/36

Step-by-step explanation:

Janet's has X dollars Henny has $8 less than Janet which expression shows how to find how many dollars Hanley has

Answers

Answer:

Henny = (x-8) dollars

Step-by-step explanation:

Janet's has x dollars.

Henny has $8 less than Janet. It means, the difference between the dollars own by Janet's and Henny is 8.

Henny has = (x-8) dollars

Hence, the expression that shows dollars Hanley has is (x-8).

will give brainliest if its right​

Answers

Answer:

answer D

Step-by-step explanation:

A and C have to be equal

B and D have to be equal

A+B+C+D have to equal 360

so, two equations

5y-3=x+3y

4x+5y-3+x+3y=360

4x=156

x=39

5y-3=9+3y

2y=42

y=21

Hope this helps plz hit the crown :D

Here is just a few words so you can give the other one brainliest!

can someone please help me im struggling on this one

Answers

Answer:

Equation: 32° + 30° + x° = 180°Solved: x = 118°

Step-by-step explanation:

3 angles = 180°32° + 30° + x° = 180°62° + x = 180°Subtract 62 from each side, so it now looks like this: x = 118°So, x is 118°

I hope this helps!

1+1=???? PLEASE HELP ILL MARK BRAINLIEST

Answers

Answer:

The answer to your extremely difficult question is 2.

Step-by-step explanation:

I hope this helps!!!! Please Mark me Brainliest!!!

Answer:

UMMMMM THIS IS HARD WAIT THIS TAKES ALOT OF THINKING

ITS 11

Step-by-step explanation:

U putt 2 ones together to get 11

big brain

What is absolute value?


The distance a number is from O on a number
line.

The Additive Inverse Property

The opposite of a number

Answers

Answer:

the distance a number did from 0 onna number line

0.65 to 3 significant figure​

Answers

Answer:

100/65 because 0.65 is a decimal number

Step-by-step explanation:

hope this helped

have a great day

wwwwwwwwwwwwwwwweeemem2lm;2rnwejtnrjqktnqrjtnij;tnq43i;ntlhqrntbjqnlrjkebtgqrejtglqrjtnhtnhftkhkntiltnoeiqhtknefiothefwntbqotq43uhi413hto3u so it is 12

Answers

Answer: Ehhhhhhh

Hello?

Oof

2. What is the slope of the line that passes through the points C(-2, 4) and D(1, -1)

Answers

Answer:

[tex]m=\frac{-5}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point C(-2, 4)

Point D(1, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{-1-4}{1+2}[/tex]Subtract/Add:                      [tex]m=\frac{-5}{3}[/tex]
ANSWER:

–5/3x

EXPLANATION:

In order to get the answer, you would first need to turn those two points into an equation. The equation would be : y=-5/3x+2/3. Remember that the mx always contains the slope.

A store is offering a 20% discount. The original price of a t-shirt is $18. What is the sale price of the t-shirt?
(no tax included)

Answers

Answer:

$3.6

Step-by-step explanation:

I looked it up, I don't know how to do that on my own

15
Solve for x in isosceles triangle JMN.
M
Uw
2x + 5
3x - 9
J
N
X-2

Answers

Answer:

31

Step-by-step explanation:

2x+5+3x-9+x-2=180

or, 6x-6=180

or, 6x=180+6

or, x=186/6

or, x=31

please mark me as brainliest

which graph correctly represents y=4/5x+6

Answers

Answer:

it is option 1 :) :) :) :)

Bilal’s favorite colors are \red{\text{red}}redstart color #df0030, start text, r, e, d, end text, end color #df0030 and \green{\text{green}}greenstart color #28ae7b, start text, g, r, e, e, n, end text, end color #28ae7b. He has \red{\text{1 red shirt}}1 red shirtstart color #df0030, start text, 1, space, r, e, d, space, s, h, i, r, t, end text, end color #df0030, \green{\text{1 green shirt}}1 green shirtstart color #28ae7b, start text, 1, space, g, r, e, e, n, space, s, h, i, r, t, end text, end color #28ae7b, \red{\text{1 red hat}}1 red hatstart color #df0030, start text, 1, space, r, e, d, space, h, a, t, end text, end color #df0030, \green{\text{1 green scarf}}1 green scarfstart color #28ae7b, start text, 1, space, g, r, e, e, n, space, s, c, a, r, f, end text, end color #28ae7b, \red{\text{1 red pair of pants}}1 red pair of pantsstart color #df0030, start text, 1, space, r, e, d, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #df0030, and \green{\text{1 green pair of pants}}1 green pair of pantsstart color #28ae7b, start text, 1, space, g, r, e, e, n, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #28ae7b. Bilal selects one of these garments at random. Let AAA be the event that he selects a green garment and let BBB be the event that he chooses a scarf. Which of the following statements are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A P(A\text{ | }B)=P(A)P(A | B)=P(A)P, left parenthesis, A, start text, space, vertical bar, space, end text, B, right parenthesis, equals, P, left parenthesis, A, right parenthesis, the conditional probability that Bilal selects a green garment given that he has chosen a scarf is equal to the probability that Bilal selects a green garment. (Choice B) B P(B\text{ | }A)=P(B)P(B | A)=P(B)P, left parenthesis, B, start text, space, vertical bar, space, end text, A, right parenthesis, equals, P, left parenthesis, B, right parenthesis, the conditional probability that Bilal selects a scarf given that he has chosen a green garment is equal to the probability that Bilal selects a scarf. (Choice C) C Events AAA and BBB are independent events. (Choice D) D The outcomes of events AAA and BBB are dependent on each other. (Choice E) E P(A\text{ and }B)=P(A) \cdot P(B)P(A and B)=P(A)⋅P(B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, equals, P, left parenthesis, A, right parenthesis, dot, P, left parenthesis, B, right parenthesis, the probability that Bilal selects a garment that is green and is a scarf is equal to the probability that Bilal selects a green garment multiplied by the probability that he selects a scarf.

Answers

Answer:

d

Step-by-step explanation:

its right on khan

Graph the linear equation y= -1/2x-1

Answers

Answer:

thetht

Step-by-step explanation:jtejr

Can someone explain this problem to me?? After a price reduction of x%, an item has its price increased to its original value. What was the percent of increase? Express your answer as a common fraction in terms of x.

Answers

Answer:

[tex]We\ are\ given\ that,\\Percent\ of\ reduction=x_-\\So,\\Let\ the\ percent\ of\ increase\ be\ x_+\\Let\ the\ original\ price\ of\ the\ item\ be\ y\\Let\ the\ price\ after\ the\ decrease\ be\ z\\.\\Hence,\\y-\frac{x_-}{100} =z\\ z+\frac{x_+}{100}=y\\By\ simply\ adding\ the\ equations,\\(y+z)+(- \frac{x_-}{100}+\frac{x_+}{100})=(z+y)\\Hence,\\- \frac{x_-}{100}+\frac{x_+}{100}=0\\Hence,\\ \frac{x_-}{100}=+\frac{x_+}{100}\\Hence,\\x_-=x_+\\[/tex]

[tex]Hence,\ the\ percent\ of\ increase\ is\ same\ as\ the\ percent\ of\ decrease.[/tex]

The Ferry family rented 50 chairs for $150. Which expression can be used to find the cost per chair?There are 330 walnuts in 6 bags. If each bag has the same number of walnuts, how many walnuts are in 2 bags? Which is a unit rate? A 47¢ for 2 pens B 20 gallons for 2 hours C 15 hours for 3 months D 18 miles driven in a week

Answers

Step-by-step explanation:

Quesion 1

The cost of one chair can be found by dividing the cost of the total chairs by the number of chairs

hence, cost per chair= 150/50= $3 per chair

Question 2

let us find the number of walnuts per bag

= 330/6

=55 walnuts per bag

hence in two bags there will be 55*2= 110 walnuts

Question 3

Option D is an example of a unit rate.

The unit rate is defined as the cost of one unit of an item, or the value that represents a unit of a quantity... D 18 miles driven in a week

PLEASE ILL GIVE 40 POINTS!!! How do the magnetic and electrical components of electromagnetic waves travel in relation to each other?

at right angles
toward each other
in a circular motion
parallel to each other

Answers

Answer:

at right angles

Step-by-step explanation:

Cameron needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 598 spoons. There are currently 194 spoons. If each set on
sale contains 8 spoons, write and solve an inequality which can be used to determine
x, the number of sets of spoons Cameron could buy for the restaurant to have enough
spoons.

Answers

Answer:

Inequality: 8x+194_>598

Answer:x_>50.2

Step-by-step explanation:

I have delta math! I risked getting the answer wrong for this question lol. But this is correct just!

404 spoons are required for the restaurant for the fill needs.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Let's say the number of sets required = x

Then,

8x will be the total number of spoons.

So,

8x + 194 ≥ 598

8x ≥ 404

x ≥ 50.5

A number of spoon required = 50.5 × 8 = 404 spoons.

Hence "404 spoons are required for the restaurant for the fill needs".

For more about inequality,

brainly.com/question/20383699

#SPJ2

laura graphed the function below y = 1 / 2(One over two)x + 4

if the range of the function is restricted to 2 ≤ y ≤ 6, what is the domain?

Answers

Step-by-step explanation:

y = 0.5x + 4

When y = 2, x = -4. (shown in graph)

When y = 6, x = 4. (shown in graph)

Hence the domain would be -4 <= x <= 4.

Please help will brainlist if right

Answers

Answer:

12. B

13 A

18 B

19 B

Step-by-step explanation:

12. The solutions of the quadratic is the roots, so 0 = x^2 -7x -30 = (x-10)(x+3). For this to be satisfied, either x-10 = 0 -> x = 10 and x + 3 = 0 -> x = -3

13. Either x = 0 or x+8 = 0 -> x =-8 for this to be true

18. The GCF of 2, 6, and 20 is 2. No other number satisfies being a common factor.

19. The product of the solutions of the equation is the (constant/leading coefficient) in the quadratic, which is -8/1 = -8

I hope this helps! :)

the answers are gonna be
B
A
B
B

The top of a ladder slides down a vertical wall at a rate of 0.32 m/s. At the moment when the bottom of the ladder is 8 m from the wall, it slides away from the wall at a rate of 0.6 m/s. How long is the ladder?

Answers

Answer:

The length of the ladder = 17 meters(17m)

Step-by-step explanation:

The formula to find the Length of the ladder is given as:

L² = x² + y²

Where L = Length of the Ladder

Let x = 8m

We solve for y

From the above question, we are told that:

The top of a ladder slides down a vertical wall at a rate of 0.32 m/s.

Hence: (-0.32)y = -0.32y

At the moment when the bottom of the ladder is 8 m from the wall, it slides away from the wall at a rate of 0.6 m/s. Hence:

8(0.6) - 0.32y = 0

4.8 = 0.32y

y = 4.8/0.32

y = 15m

Hence:

L² = x² + y²

L² = 8² + 15²

L² = 64 + 225

L² = 289

Square root both sides

L = √289

L = 17m

The length of the ladder = 17 meters(17m)

Maddie bought 3 2/3 yards of satin ribbon at the craft store. She wanted to make hair bows for the cheer squad. Each bow requires 2/3 of a yard of ribbon. How many complete bows can she make?

Answers

Answer:

4

Step-by-step explanation:

Given that:

Total yards of satin bought by Maddie = [tex]3\frac{2}{3}[/tex] yards

Number of yards required make one ribbon = [tex]\frac{2}{3}[/tex] yards

To find:

Number of complete bows that can be made ?

Solution:

First of all, let us learn about converting the mixed fraction to fractional form.

Formula:

[tex]a\dfrac{b}{c} = \dfrac{a\times c+b}{c}[/tex]

Therefore, total yards of satin bought by Maddie can be written in fractional form as:

[tex]3\dfrac{2}{3} = \dfrac{3\times 3+2}{3} = \dfrac{11}{3}[/tex]

One hair bow requires [tex]\frac{2}{3}[/tex] yards of ribbon.

Number of hair bows that can be made, can be found by dividing the total ribbon length by ribbon required for making one hair bow.

Answer is:

[tex]\dfrac{\frac{11}{3}}{\frac{2}{3}}\\\Rightarrow \dfrac{11\times 3}{2\times 3}\\\approx 4[/tex]

4 hair bows can be made.

Find the third side in simplest radical form:

Answers

Answer:

x = √143

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify

We are given a right triangle

Step 2: Define variables

Leg a = 1

Leg b = x

Hypotenuse c = 12

Step 3: Solve for x

Substitute:                              1² + x² = 12²Isolate x term:                        x² = 12² - 1²Exponents:                             x² = 144 - 1Subtract:                                 x² = 143Isolate x:                                 x = √143

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. You draw the first marble, return it to the box and draw a second marble. What is P(both marbles are orange)?

Answers

Answer:

1/15

Step-by-step explanation:

1/5+3+2        all of the marbles

2/10              odds of drawing an orange marble(bc 2 orange marble)

3/9                 because to get 3 green and 1 marble is removed and 9 is total          marbles left

2/10*3/9=1/15  muliply  odds because 2 draws of marbles    

Brainliest ??? HELP

Answers

Answer:

D

Step-by-step explanation:

I need answer ASAP OLZ

Answers

Answer:

the second one

Step-by-step explanation:

what is 1.75 divided by 7

Answers

Answer:

0.25

Step-by-step explanation:

1.75/7 would equaln0.25, use your calculator if you have one

The decimal 1.75 when divided by the number 7 gives the decimal 0.25.

In mathematics, a decimal is a base-10 numeral system applied to characterize real numbers. It's known as "decimal" because it uses ten dissimilar symbols, videlicet the digits 0 through 9, to portray all achievable values. The decimal system is the most generally used numeral system in day-to-day life.

The decimal system works on a positional memorandum principle, where each digit's position determines its value within the number.

The decimal 1.75 can be written as a fraction as follows:

[tex]1.75 = \dfrac{175}{100}[/tex]

      [tex]= \dfrac{7}{4}[/tex]

To divide 1.75 by 7, let's divide [tex]\dfrac{7}{4}[/tex] by 7.

[tex]\dfrac{7}{4} \div 7\\= \dfrac{7}{4} \times \dfrac{1}{7}\\= \dfrac{1}{4} \times 1\\= \dfrac{1}{4}\\= 0.25[/tex]

Thus, 0.25 is 1.75 divided by 7.

Learn more about Decimal here:

https://brainly.com/question/33109985

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(01.01 LC)Which of the following describes a situation in which the total distance a baseball player travels is zero meters from
his starting point?
The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
The player runs 5 meters forward, and then runs 6 meters in the opposite direction.
The player runs 6 meters forward, and then runs 5 meters in the opposite direction.
The player runs 6 meters forward, and then runs 0 meters in the opposite direction.

Answers

Answer:

i think it`s the first one

Step-by-step explanation:

Answer:A

Step-by-step explanation:

The player runs 5 meters forward, and then runs 5 meters in the opposite direction.

pls mark as brainliest hope you have a nice day!

Chris has $100 in his saving account and he adds $20 a month to the account. The total amount can be represented by the linear function T=20x+100. His goal is to have a total of $300 in four months. What should he change in the function to reach this goal?

Answers

he should add $50 a month !!! T=50x+100

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. -91, -194, -291, -388

Answers

Answer:

[tex]T_n = -97n[/tex]

Step-by-step explanation:

The actual sequence is: -97, -194, -291, -388

Required

Determine the nth term

nth term of an arithmetic progression is:

[tex]T_n = T_1 + (n - 1)d[/tex]

Where

[tex]T_1 = First\ Term = -97[/tex]

[tex]d = Common\ Difference = -194 - (-97) =-97[/tex]

So:

[tex]T_n = T_1 + (n - 1)d[/tex] becomes

[tex]T_n = -97 + (n - 1) * -97[/tex]

[tex]T_n = -97 -97n + 97[/tex]

Collect Like Terms

[tex]T_n = -97n + 97-97[/tex]

[tex]T_n = -97n[/tex]

Hence, a term of the sequence is:

[tex]T_n = -97n[/tex]

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Part BIn this unit, you read about different historical leaders of classical civilizations of Europe andthe Middle East. Identify one leader you learned about who you think was a good leader in hisor her respective civilization. 13/10 divided by 2/10 What else would need to be congruent to show that ABC PQR by SSS?Given-AC=PRBC=QRA. AB=BAB. AB=PQC. AC=PQD. A=P Can you find the slope and type the correct code? GUYS PLEASE HELP!!!!!The models represent the stages of the cell cycle in the random order.inMVIWhich stage of the cell cycle shows the formation of spindle fibers and chromatin condensing into chromosomes?OLO VMIV Please Answer this one MCQ. I am in trouble please help .. what's the equation of the line shown above?A.y=-2/3X-4B.y=-2/3X-6C.y=-3/2X-6D.y=-3/2x-4 Reason Abstractly The inequalities 3x < 1 and 6x < 2 are equivalent inequalities. Writ e another inequality that is equivalent to 3x < 1 and6r The creation of a worldwide marketplace is one advantage of culture.diversity.globalization.technology. slope intercept form of y+5=-7/4 ( x - 4) Consider the following limit order book for a share of stock. The last trade in the stock occurred at a price of $70. Limit Buy Orders Limit Sell Orders Price Shares Price Shares $69.75 800 $69.80 120 69.70 1,100 69.85 120 69.65 800 69.90 200 69.60 200 69.95 120 68.65 900 a. If a market buy order for 120 shares comes in, at what price will it be filled Diffraction is a wave property that electrons possess- true- false PLSSS HURRY!! HELP!! How would early animated features, like Disneys Bambi and Cinderella, differ from todays animation?Disney no longer makes animated films.These older films had very few characters.Animated features are now full-length movies.Backgrounds had little movement in older films. The underlined section of the poem is an example ofO a simile that uses like.O action personification.O a metaphor.O thought personification. Describe your method on how to identify the vertex angle of an isosceles triangle. My method to identify the vertex angle of an isosceles triangle is Drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x and match each solution to its number line graph. Two less than 2 of a number (x) is no more than 53 The sum of two times a number (X) and-2 is at least 8. Seven subtracted from 4 times a number (x) is more than 13 Four added to 3 times a number (x) is less than 19. Number Line Graph Inequality -5 -2 1 0 1 2 4 6 -6 1 4 1 3 4 5 -6 -5 5 what is painting on face 47:19 The English Bill of Rights (1689), which guarantees the freedom of speech, the right to a fair trial, and a ban on cruel or unusual punishment, inspired the US Bill of Rights, which is another name for the first ten amendments to the Constitution. the preamble to the Declaration of Independence. the Articles of Confederation. the Declaration of the Rights of Man. Can some one help meeee help me pleaseeee, if you do tyy :)