If f(x) = 2x + 5x and g(x) = 3x - 5, find (f+ g)(x).
O A. 2X + 8x - 5
B. 2X + 2x + 5
C. 24 - 2x - 5
D. 10x - 5

Answers

Answer 1

Answer:

D. 10x - 5

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 5x

g(x) = 3x - 5

(f + g)(x) is f(x) + g(x)

Step 2: Simplify

f(x) = 7x

g(x) = 3x - 5

Step 3: Find

Substitute:                     (f + g)(x) = 7x + (3x - 5)Combine like terms:     (f + g)(x) = 10x - 5

Related Questions

divide the stars into 3 equal groups .

How many stars are in each group ?

what is 1/3 of 9 ?​

Answers

Answer: 3

Step-by-step explanation: Divide 9 by 3

what is the rule for the reflection

Answers

Answer:

(x,y) ---> (-x,y)  2nd choice

Step-by-step explanation:

reflection: If points reflect across the y-axis, their y-coordinates remain unchanged but their x-coordinates change into their opposites.

The original figure ABCD is reflected on y-axis and we got the image A'B'C'D'. Therefore, option B is the correct answer.

What is the reflection on y-axis?

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

In the given graph, ABCD is the original figure and A'B'C'D' is the image.

Here, A(-2, 1)→A'(2, 1)

B(-4, 1)→B'(4, 1)

C(-4, 5)→C'(4, 5)

D(-2, 4)→D'(2, 4)

Here, the rule is (x, y)→(-x, y)

Therefore, option B is the correct answer.

To learn more about the reflection over y-axis visit:

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Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. After 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob?

Answers

Answer:

$2 more.

Step-by-step explanation:

In this question, we have to find how much more money Victoria is saving.

We know that Jacob saved $174 in 3 months.

We also know that Victoria saved $360 in 6 months.

Lets find how much money they save per month:

Jacob:

174 ÷ 3 = 58

Victoria:

360 ÷ 6 = 60

Jacob is saving $58 per month and Victoria is saving $60 per month.

This means that Victoria is saving $2 more than Jacob per month.

Answer:

2

Step-by-step explanation:

multiply by 2 and then divide by 6

Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each 3 student, one at a time, for 7 of an hour, how many students does she tutor?
6
8
12
24​

Answers

Answer:

24 hope this helps

Step-by-step explanation:

jackie's is twice the age of lynn the sum of there age is 48 how old is jackie

Answers

Answer:

Jackie is 32

Step-by-step explanation:

48 / 3 = 16

16 * 2 = 32

32 years old

The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 12 B, and 48 C. Show the frequency and relative frequency distributions.

Answers

Answer:

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

Step-by-step explanation:

Given that;

the frequencies of there alternatives are;

Frequency A = 60

Frequency B = 12

Frequency C = 48

Total = 60 + 12 + 48 = 120

Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;

Relative Frequency A = Frequency A / total = 60 / 120 = 0.5

Relative Frequency B = Frequency B / total = 12 / 120 = 0.1

Relative Frequency C = Frequency C / total = 48 / 120 = 0.4

therefore;

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

Calculate the correlation coefficient, r, for the data below.

Answers

This question is incomplete, the complete question is;

Calculate the correlation coefficient, r, for the data below.

X = -10  -8  -1  -4  -6  -7  -5  -3  -2  -9

Y = -15  -13  4  -4  -7  -11  -6  -2  1  -13

Answer: the correlation coefficient, r, for the data is 0.9896

Step-by-step explanation:

Given the data in the question;

correlation coefficient r = ?

we know that, C_Coeff is;

r = [ (Zn(∑xy) - (∑x)(∑y) ] / [ √[( n∑x² - (∑x)²) ( n∑y² - (∑y)²)] ]

so ;

       X        Y        X²        Y²        XY

     -10     -15       100      225      150

     -8      -13        64       169       104

     -1         4          1        16           -4

     -4       -4         16       16           16

     -6       -7         36      49          42

     -7       -11         49      121         77

     -5       -6         25      36         30

     -3       -2          9         4            6

     -2       1            4         1            -2

     -9      -13         81       169         117

∑   -55     -66      385     806        536

now we substitute our values into the formula

r = [ (10×536 - (-55)(-66) ] / [ √[( 10×385 - (-55)²) ( 10×806 - (-66)²)] ]

r = 1730 / √( 825 × 3704 )

r = 1730 / √3055800

r = 1730 / 1748.0846

r = 0.9896

Therefore the correlation coefficient, r, for the data is 0.9896

if 50% is 10 what is 25%​

Answers

Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.

This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.

What is 22% of 46?

Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.

Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.

So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].

0.46 × 22 = 10.12

Answer: 22% of 46 is 10.12.

Hope this helped :)

Do anybody know which one is it thank you.

Answers

Answer:

Its 2/8

Step-by-step explanation:

2/8 simplified is 1/4

Answer:

The answer will be 2/8 because if you think about it 4/8 is 1/2 and 1/2 of 4/8 is 2/8 and since 1/2 4/8 is 2/4 which is actually 1/2 of 1/2 so that makes it 1/4 hope this helps!!

(to make it clear the answer is 2/8)

is 18/20 closed close to 0 1/2 or 1

Answers

Answer:

18/20 is closer to 1

Step-by-step explanation:

Answer:

0 1/2

Step-by-step explanation:

Sandra is 34 and opened a 30 year term policy. How old will she be when she lose the life insurance policy?

Answers

Answer:64

Step-by-step explanation:

34+30=64

Sandra will be 64 years old when she would lose the life insurance policy.

What is Addition?

Addition, in maths, is a process of combining two or more numbers.

Given that, Sandra is 34 and opened a 30-year term policy,

According to question,

30 + 34 = 64

Hence, Sandra will be 64 years old when she would lose the life insurance policy.

For more references on Addition, click;

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(05.08A)The figure below shows three quadrilaterals on a coordinate grid:

A coordinate plane is shown. Figure Q is a quadrilateral with sides measuring 5 and 2. Figure S is a quadrilateral with sides measuring 5 and 2. Figure W is a quadrilateral with sides measuring 10 and 4.

Which of the following statements is true about the three quadrilaterals?

Q and W are similar but not congruent.
W and S are similar and congruent.
W and Q are similar and congruent.
Q and S are similar but not congruent.

Answers

Answer:

Q and w are similar BUT NOT CONGRUENT

Step-by-step explanation:

I TOOK THE QUIZ lol

Answer:

a

Step-by-step explanation:

can someone fact check this to make sure its correct

Answers

All your answers look good!

Answer:

looks good

Step-by-step explanation:

One step equation

-104=8x​

Answers

x=-13 hopefully this helps

Answer:

The answer you gave can only be solved if you know what the Variable is.

Step-by-step explanation:

A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.

If x=3y substitute the value of x into expression simplify 3x+6

Answers

Answer:

(3y)3+6

Step-by-step explanation:

1.4(X + 3) *

[
4x + 3
X + 12
4x + 12

Answers

Answer:

4x + 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Step-by-step explanation:

Step 1: Define

4(x + 3)

Step 2: Expand

Distribute 4:                     4(x) + 4(3)Multiply:                            4x + 12

Answer:

[tex] \huge4(x + 3) = 4x + 12[/tex]

4x+12 is the right answer.

Is a dilated segment still a segment ?

Answers

Answer:

Still a segment

Step-by-step explanation:

When a segment is dilated by a scale factor of r = 1, then the segment and its image would be the same length. When the points P and Q are on a line containing the center, then the dilated points P' and Q' will also be col linear with the center producing an image of the segment that is a segment.

Need help please ???????

Answers

Answer:

5pm

Step-by-step explanation:

5 x 4= 20 miles

4 x 5= 20 miles

Help please due soon

Answers

m = 7, simplify it.
distribute the -3 into the parentheses u have -3m-15=-36 then add 15 to both sides so u have -3m=-21 finally divide both sides by -3 so u have m=7

Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?

Answers

180 divided by 3 = 1 minute = 60 words
1260 divided by 60= 21
21minutes

If a bus travels at 48MPH how long will it take to be able to travel 60 miles

Answers

It will take 1.25 hours

18. Jeff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?

A 272.5
B 267.5
C 270
D 337

Answers

Answer:

B) 267.5

Step-by-step explanation:

162.5+105=267.5

Nancy buys 2 large pizzas for her brother's birthday party. The girls at the party eat 78 of a large pizza. The boys at the party eat 58 of a large pizza. Nancy says about 112 pizzas were eaten at the party. Is Nancy correct?
Nancy is wrong because 78 is close to the benchmark 12 and 58 is close to the benchmark 12 and 12 + 12 = 1.


Nancy is wrong because 78 is close to the benchmark 1 and 58 is close to the benchmark 0 and 1 + 0 = 1.


Nancy is correct because 78 is close to benchmark 1 and 58 is close to benchmark 12 and 1 + 12= 112. .


Nancy is wrong because 78 is close to benchmark 1 and 58 is close to benchmark 1 and 1 + 1 = 2.

Answers

The answer is C hope it helps

How did I make this equivalent fraction?
1
3
JI
4
12.
4
Qual a equivalência da fração

Answers

Answer:

Both the numerator and denominator were multiplied by 4

Answer:

find a number that is divisible by both the denominator and the numerator

Step-by-step explanation:

divide 4/12 by 4, so you get 1/3

can someone help me? im really stumped, i will give brainliest. so please help. thanks. i really need it

Answers

Answer:

The answer is A.

Step-by-step explanation:

The question is basically asking which number, added to 3.5, gives you -4.3.  You just have to do the operation -4.3 - 3.5 to get the answer.  You just need to do the inverse.  You should end up with -7.8.

Solve to find X. 3 ≥ -3x

Answers

Answer:

-1 ≤ x

Step-by-step explanation:

You just need to divide -3 on both sides.

-1 ≤ x

Note that since you are dividing by a negative number, the sign flips.

-1 ≤ x

Step-by-step explanation:

First start with the equation:

3 ≥ -3x

divide by -3 to get x positive and singular:

-1 ≥ x

and since we divided by a negative we need to flip the sign:

-1 ≤ x  would be your answer

hope this helped :)

Which of the following numbers
is a solution to this inequality?
14x > 36
3
2.

Answers

Answer:

[tex]x=\frac{18}{7}[/tex]

Step-by-step explanation:

7. At an online retailer, the price of the camera is discounted 15% to $212.50. What was the
price of the camera before the discount?

Answers

Answer:

$250

Step-by-step explanation:

discounting 15 percent is the same as marking something for 85 percent. This is the same as multiplying by .85

set up equation and solve

.85x=212.50

x=250

The cost, in dollars, for a group to attend a play is represented by 72p+ 250, where p is the number of

people attending. What is the cost for 36 people?

$286

$358

$2,342

$2,842

Answers

Answer:

Add 72+250 that will give u the answe

i hopStep-by-step explanation:

I need help with this Geometry question

Answers

Answer: A) 6 in^2

First, you need to find the length of the base.

a = 3, b = ?, c= 5

Using Pythagorean Theorem*: a^2 + b^2 = c^2

b^2 = c^2 - a^2

b^2 = 5^2 - 3^2

b^2 = 25 - 9

b^2 = 16 (square root both sides)

b = 4

Now, you have to find the area using the area of a triangle formula: A = (bh)/2

A = (bh)/2

A = (4·3)/2

A = 12/2

A = 6 in^2

Pythagorean Theorem is used for this question since it's a right triangle.

Answer: A) 6in^2

Step-by-step explanation:

base = 4 in

height = 3 in (pythagorean theorem)

A = (bxh)/2 = (4x3)/2 = 12/2 = 6 in^2

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