If f(x)= 3x-5 and g(x)= x+2, then what is f(x)+g(x) ?

Answers

Answer 1

Answer:

4x - 3

Step-by-step explanation:

Givens

f(x) + g(x)

f(x) = 3x - 5

g(x) = x + 2

Equation

f(x) + g(x) = 3x - 5 + x + 2

Solution

f(x) + g(x) = 4x - 3 Collected like terms from the equation.

Remark

If you think of f(x) and g(x) as equal to different y values, it might help you to solve questions like this.


Related Questions

Select all decimals that are equivalent to
9 x 100 + 2 x 10 + 3 x 10 + 5 x 1/100
A.92.35

B.920.350

C.902.35

D.92.350

E. 920.35

F.920.035

Answers

Answer:

E. 920.35

Step-by-step explanation:

Hope this helped :>

If m ∠ F L G = 14 x + 5 ° and m ∠ H L G = 17 x − 1 ° , find m ∠ F L H .

Answers

The measure of angle FLH is 31x  + 4

How to determine the measure of FLH?

See attachment for the image that completes the question

The given parameters are

m∠FLG = 14x + 5°

m∠HLG = 17x − 1 °

The measure of FLH is calculated as

FLH = m∠FLG +  m∠HLG

This gives

FLH = 14x + 5 + 17x - 1

Collect the like terms

FLH = 14x + 17x  + 5 - 1

Evaluate the like terms

FLH = 31x  + 4

Hence, the measure of FLH is 31x  + 4

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Ruguru wants to rent a car for 3 days. The cost,C , in dollars, for the rental is shown in the box, where D is the number of days the car is rented If Ruguru has 115, how much more will he need to rent a car for 3 days?

Answers

Ruguru need $15 more to rent a car for 3 days.

Given,

Number of days Ruguru wants to rent a car = 3 days

The amount Ruguru has with him = $115

The cost for the rental of the car:

C = 25 + 35D

Where,

D is the number of days

Now,

Lets find the total rent of the car for 3 days

C = 25 + 35D

C = 25 + 35 × 3

C = 25 + 105

C = 130

The total rent of a car for 3 days is $130

We have to find the amount needed by Ruguru to rent a car for 3 days.

That is,

Total rent - Amount Ruguru has = Amount needed

130 - 115 = 15

Therefore,

Ruguru need $15 more to rent a car for 3 days.

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Express 28 + 42 as the product of the greatest common factor (GCF) of the two numbers and a sum of two numbers.

Answers

Answer:

14 is there (GCF) 28+42=70

How to do this exercise step by step?​

Answers

Is that all of it is there more to the question

Use the laws of exponents to simplify the expression so that the base, x, appears once, and the exponent is positive. x^3/x^5

Answers

X^3/x^5 = x^-2 = 1/x^2

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Consider a survey involving the cookie preferences of a sample of 1,214 adults. If 28% answered peanut butter" find the decimal and reduced fraction of that percentage
PRACTICE ANOTHER

Answers

The decimal fraction is 0.28 and reduced fraction is 7/25.

What is fraction?

In mathematics, the fraction is generally a term which define the small part of something or amount of something. A fraction has generally two parts a numerator and a denominator.

The general syntax for fraction is : [tex]\frac{x}{y}[/tex]

where, x is the numerator part

           y is the denominator part

The fraction has two types of notations:

Decimal notation : In the decimal notation of fraction the term is written as the decimal form of x / y. we generally try to reduce the decimal value upto the nearest tenth.Reduce notation: In the reduce notation the structure of term is x/y but in this we try to convert the fraction into smallest fraction form.

In the question given,

Total number of samples = 1214

Adults who answered peanut butter = 28%

Now, the decimal fraction  = 28 / 100 = 0.28

and, the reduce fraction  = 28/100 = (7)(4) / (25)(4) = 7/25

Hence, The decimal fraction is 0.28 and reduced fraction is 7/25.

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You have timed yourself and found that you can read 8 pages of a novel in 10 minutes. Your homework tonight is to read 42 pages in the novel. How many minutes should it take you? Round your answer to the nearest tenth if needed.

Answers

It will take 53 minutes to read 42 pages in a novel

Given,

The time taken to read 8 pages in a novel = 10 minutes

Therefore, the time taken to read 1 page = 10 ÷ 8 = 1.25 minutes

Now,

We have to find the time taken to read 42 pages of a novel.

Time to read 42 pages = 42 × 1.25

Time taken = 52.5 minutes

We can round it to nearest tenth, that is 53 minutes.

That is, the time taken to read 42 pages in a novel is 53 minutes.

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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 1, negative 3) and (0, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 3) and (1, negative 3). Everything to the right of the line is shaded.
A school is planning for an addition in some open space next to the current building. The existing building ends at the origin. The graph represents the system of equations that can be used to define the space for the addition. What is the system of equations that matches the graph?

y ≤ 3x
y > –2x – 1
y > 3x
y ≤ –2x – 1
y < –3x
y ≥ 2x – 1
y > –3x
y ≤ 2x – 1

Answers

Using linear functions, the system of inequalities that matches the graph is given by:

y ≥ 3x.y > -2x - 1.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Given two points, the slope is given by change in y divided by change in x. For the first line, the points are:

(-1, -3) and (0,0).

Hence the slope is:

m = (0 - (-3))/(0 - (-1))

m = 3.

When x = 0, y = 0, hence the y-intercept is of b = 0 and the line is given by:

y = 3x.

Everything to the right of the solid line is shaded, hence the values that are equal(line is solid) or greater than the line compose the inequality, as follows:

y ≥ 3x.

For the second line, the points are:

(-2,3) and (1,-3).

Hence the slope is:

m = (-3 - 3)/(1 - (-2)) = -6/3 = -2.

Then:

y = -2x + b.

When x = -2, y = 3, hence:

3 = -2(-2) + b

b = -1.

Hence the line is:

y = -2x - 1.

Everything to the right of the dashed line is shaded, hence the inequality is:

y > -2x - 1.

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which point on the number line represents the product (-4)(-2)(-1)?

Answers

-4*-2= 8
8*-1=-8
(i’m not exactly sure if that’s what you’re asking)

Use the words factor and quotient to describe related multiplication and.division facts

Answers

A quotient is an answer in the division. The divisor (denominator) and the quotient are the factors. The dividend (numerator) is the amount being divided — it doesn’t matter whether the dividend is larger or smaller than the divisor.

In elementary school, we refer to this process only in terms of fractions, so many people don’t realize that fractions are just division. If your fraction is proper, you will get a decimal number or simplified equivalent fraction. If the numerator (multiple) is the larger number, then the quotient will represent the other factor after dividing.

For example, in the equation x + 5 = 10, x is the unknown variable, and you want to find some number, which when added to 5 would result in 10.

Quotients are answers to a division problem.

For example, the quotient of 8÷2 would be 4.

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A cone has a volume of 98 cm3.
The radius of the cone is 5.13 cm.

Work out an estimate for the height of the cone.

Answers

Answer: Height is equal to approximately 3.56.

Step-by-step explanation:

FIND formula for finding height on a cone:

3 * [tex]\frac{V}{\pi r^{2} }[/tex]

    2. INSERT Volume and Radius

3 * [tex]\frac{98}{\pi 5.13^{2} }[/tex]

    3.CALCULATE Height

Pi*5.13^2= 82.676979798 / 82.6769797= 1.185335995041.18533599504 * 3= 3.556007985133.55600798513 rounds to 3.56

Answer:

3.6cm=h

Step-by-step explanation:

v=1/3πr^2h

input your values

98=1/3×22/7×5.13×5.13×h

98=(22*5.13*5.13*h)/21

cross multiply

98*21=22*5.13*5.13*h

2058=22*5.13*5.13*h/22*5.13*5.13

3.6cm=h

hope it helps, please mark brainliest

a sequence is defined by f (n) =-4+2n for n is greater than or equal to 1. which of the following statements is the recursive definition of f?


a. f(1)=-2, f(n)=f(n-1) +2

b. f(1)=-4, f(n)=f(n-1) +2n

c. f(1)=-2, f(n)=f(n-1) + (-4)

d.f(1)=-4, f(n)=f(n-1) +2

EXPLAIN WHY

Answers

The recursive definition of f is f(1) = - 2, f(n) = f(n - 1) + 2. (Correct choice: A)

What is the recursive definition of an arithmetic sequence?

A recursive formula is a formula to find the value of an element in terms of previous elements of the same series. According to the statement, a sequence is defined by f(n) = - 4 + 2 · n. To derive the recursive definition, we must use algebra properties on the following difference:

Δf = - 4 + 2 · (n + 1) - (- 4 + 2 · n)

Δf = 2

n = 1

f(1) = - 4 + 2 · 1

f(1) = - 2

Then, the recursive definition of f is f(1) = - 2, f(n) = f(n - 1) + 2.

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Graph each integer and its opposite on the number tin

Answers

 hi!

lets try and further analyze this.

The integer -2 would be graphed directly on the "-2" point on the line. also marking positive 2 (2) as for that's its opposite. Positive 3 (3) would be marked on the 3 and so would -3. Then -5 and positive 5 (5) and lastly -1 and positive 1 (1).

hope this helps!

side note: for actually graphing the point just use a filled in dot indicating where you mark it.

A is the Midpoint of line RT. Find line RT if line RA= 3x and line AT= 5x-12

A. 6
B. 36
C.18
D. 30

Answers

[tex]\stackrel{3x}{R\rule[0.35em]{10em}{0.25pt}} A\stackrel{5x-12}{\rule[0.35em]{10em}{0.25pt}T} \\\\\\ 3x~~ = ~~5x-12\implies 3x+12=5x\implies 12=2x\implies \cfrac{12}{2}=x\implies \boxed{6=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE RT}}{3(6)~~ + ~~5(6)-12\implies 18+18\implies \text{\LARGE 36}}[/tex]

x / −6 ≥−20
solve for x

Answers

Answer:

[tex]x\leq 120[/tex]

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

Hope this helps!

Have a great day and God bless! :)

x < 120
_
Hope this helps!

Lorie ordered a shed to hold her gardening supplies. The shed had a length of 12.25 ft, a width of 10 ft, and a height of eight and one fifth ft.

Determine the volume, V, using the formula V = lwh.

30.45 ft3
100.45 ft3
960.05 ft3
1,004.5 ft3

Answers

The volume will be 1004.5 ft³.

How to calculate the volume?

It should be noted that the volume is calculated as:

= Length × Width × Height

= 12.25 × 10 × 8.2

= 1004.5 ft³

Therefore, the volume will be 1004.5 ft³.

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what is the product of (2.5+y) and (1.1y)

Answers

The product of the expressions (2.5 + y) and (1.1y) will be 2.75y + 1.1y².

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expressions are given below.

(2.5 + y) and (1.1y)

Then the product of the expressions (2.5 + y) and (1.1y) will be

⇒ (2.5 + y) × (1.1y)

⇒ 2.75y + 1.1y²

The product of the expressions (2.5 + y) and (1.1y) will be 2.75y + 1.1y².

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solve

3*2^x+1-4^x=8


help me as soon as possible

Answers

Answer: 3.5

Step-by-step explanation:

If your trying to solve for X the answer would be 3.5 because you calculate 2 to the power of 1 and get 2 which then by now your equation should look along the lines of 3×2X+1−4^1 X=8

Calculate 4 to the power of 1 and get 4 then you Subtract 1 from both sides.

and then Subtract 1 from 8 to get 7. Combine all terms containing X which would make the equation come down to a standard form which then means you would have to divide both sides by 2, by dividing by 2 undoes the multiplication by 2. You should get 7/2 which then = 3 and 1/2 converted into 3.5

Laura is 32 feet below the ground in a cave. If she ascends 8 feet, what is her new depth?

Answers

Answer:

40 feet

Step-by-step explanation:

Because 32+8=40

32

- 08

-----

40

Answer: -24 feet

Step-by-step explanation: ascending is rising so you would subtract feet, which in this case is 8 feet. after that you would consider that since she is underground the feet would be negative because she is below ground level which is zero. once you subtract it then you would get a grand total of -24 feet or 24 feet below the earth's surface but more than likely the answer would be -24 ft.

hope this was helpful :)- hailey <3

Can you guys help me on this one?

Answers

Answer:

The area is 12.57

The Circumference is 12.57

Step-by-step explanation:

Situation 1: A number cube has sides labelled 1-6. After rolling 15 times, Tyler records his data:
1,1,1,1,2,2,3,3,4,4,5,5,5,6,20
Is there an outlier? (yes/no)
If so, what is it? (write N/A if there is no outlier)
Should any data points be investigated or removed? (investigated/removed)
Why? (non-plausible/not representative)

Answers

Answer:

There is an outlier. The outlier is 20. 20 should be removed because a dice only has 6 faces, and there is no side numbered 20.

Step-by-step explanation:

for the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side dish, and a dessert. here are the items to choose from

Answers

288 dinner specialist

1 Appetizer = 3  C₁

1 Salad = 2  C₁

1 Entree = 4  C₁

1 Side dish = 3  C₁

1 desert = 4 C₁

Total =  3  C₁ * 2  C₁ *  4  C₁ * 3  C₁ * 4 C₁

=3* 2 * 4 * 3 * 4

= 288 dinner specialist

What do you mean by possibility in mathematics?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an occurrence is a number between 0 and 1, with 1 representing certainty and 0 representing impossibility. The higher the likelihood of an event, the more likely it is to occur. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half.

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help questions 3-5 (negative and positive numbers)

Answers

Answer:

good luck broooooooooo

Graph: y= lx+2l+1
what are the coordinates of the vertex of the graph? The vertex is

Answers

The coordinate pf the vertex of the graph is 1,4 5,7 -2,2

Where is making a frame to display a drawing she made. The frame 11 1/5 wide the frame has a rectangular shape and area of 560cm2

Answers

The Height of the frame having area of 560cm² is 50cm.

What is the area of the rectangle?

By splitting a rectangle into two equal-sized right triangles, the formula for calculating the area of a rectangle may be obtained. For instance, a diagonal is drawn from vertex A to vertex C in the rectangle ABCD that is supplied.

The rectangle is split into two identical right-angled triangles by the diagonal AC.

(ABCD) Area = b × h

Given,

The area of the frame = 560cm²

Width of the frame = 11 1/5

Length = ?

Area of the rectangle = Length × Breadth

560 = 11 1/5 × L

⇒ L = 560 × 5/56

⇒ L = 50cm

The frame is 50cm tall.

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Correct question -

Claire is making a frame to display a drawing she made. The frame is 11 1/5 cm wide. The frame has a rectangular shape and an area of 560cm². How tall is the frame?

A chef uses a recipe with the following ingredients then the chef decides to make more than 1 batch of recipe. if a total of 30 cups of mangoes and blueberries are used, how many batches of the recipe did the chef make? 3 cups used for 1 mango and 2 cups used for blueberries, 5 cups for apples and 1 cup used for blackberries

Answers

Answer:11 cups

Step-by-step explanation:

Srry if im wrong :)

Here's a box plot that summarizes the average monthly rainfall of several cities.
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 8, in increments of 0.5, labeled Monthly rainfall (centimeters). A left whisker extends from 3.5 to 5.5. The box extends from 5.5 to 7 and is divided into 2 parts by a vertical line segment at 6. The right whisker extends from 7 to 7.5. All values estimated.
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 8, in increments of 0.5, labeled Monthly rainfall (centimeters). A left whisker extends from 3.5 to 5.5. The box extends from 5.5 to 7 and is divided into 2 parts by a vertical line segment at 6. The right whisker extends from 7 to 7.5. All values estimated.
Find the range of the data.

Answers

The range of the data provided in the boxplot given the minimum number and the maximum number is 2.

What is the range of the data?

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines known as the whiskers and a box. The left whisker represents the lowest number in the dataset. The right whisker represents the highest number in the dataset. The difference between these numbers is the range.

The box can be used to determine the first quartile, median and the third quartile. These values can be determined using the lines on the box.

The range of a data set is the difference between the highest number and the lowest number. Range is used to measure the variance of a dataset.

Range = highest number - lowest number

7.5 - 5.5 = 2

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When you answer these, can you number them?

Answers

Yes you can. I got those type of problems too.

Kenneth's bank account is modeled by the following equation f(x) = 13x+30
where x in the number of weeks and f(x) is total amount. How much money
was in Kenneth's account when it was opened?

Answers

When Kenneth opened her account, her account balance was 30.

A function is an expression that assigns each input value, say x, a unique output value, say y. Mathematically, a function can be represented as-

F(x) = x + a

Here, we are given that Kenneth's bank account is modeled by the following equation-

f(x) = 13x + 30

here, x =  number of weeks

and  f(x) = total amount

When Kenneth must've opened his account, the number of weeks would've been zero.

⇒ x = 0

Substituting the value of x = 0 in f(x), we get-

f(0) = 13(0) + 30

f(0) = 0 + 30

f(0) = 30

Thus, when Kenneth opened her account, her account balance was 30.

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A rectangular garden plot measures 12 feet by 25.6 feet. Which choice describes the word bottle?a two-syllable word whose first syllable has a long o sounda two-syllable word whose first syllable has a short o sounda one-syllable word whose first syllable has a long o sounda one-syllable word whose first syllable has a short o sound In what way did African nationalism differ from Afrikaner nationalism? HELP QUICK PLEASE TEST TIMED HUNDRED POINTS Which of the following is NOT one of the basic points of Cell Theory? THE CELL THEORY O All living things are made of cells. The cell is the smallest living thing that can perform all the functions of life. O Cells are too small to see without a microscope. O All cells must come from pre-existing cells. O Other: cells with class i major histocompatibility complex (mhc) proteins that contain a foreign antigen will be destroyed after: IS NEEDED ASAPWhat number would you divide by to calculate the MEAN of the following numbers:33, 42, 67, 88, 99, 101, 124 573 according to the textbook, the keys to successful supply chain management include trust, cooperation, collaboration and honest, accurate communications between supply chain partners. at 8pm, you see that the pointer stars of the big dipper and the star polaris are arranged in a vertical line. how long, give or take a few minutes, would you need to wait to see them arranged in a horizontal line? How many significant digits are in the measurement 0.00210 mg? How might the Native American perspective of Roanoke Island differ from the English perspective? Why? What are the purposes of government?Choose all answers that are correct.provide security and services to citizensexport the natural resources of a nationmake decisions about solving problems faced by communitiesmaintain order and resolve conflicts(i know them im just checking. ) Some critics believed Millet was expressing approval of because of his perceptive depictions of peasant farmers Drag the item from the item bank to its corresponding match. Not all choices will be used Find mA2xC(3x - 10)DEB whatre the values of x and y leanna cuts some roses in her front garden and another 20 in her back garden. she uses one quarter of her roses to make a bouquet of a dozen flowers. how many roses did leanna cut in her front yard? The area of a square tin plate is 7056 square inches. Find the length of a side of the plate. Was the political deal made at the Compromise of 1877 worth what it cost? Why or why not? BF is dilated to created WH. The center of dilation is point A where BF=15, WH=20What is the scale factor that was used to create WH The graph below shows the distance a helicopter traveled over time. Find the rate of change from 1 hour to 2 hours.