If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it

Answers

Answer 1

Answer:

[tex](f-g)(x)=2x-3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

By substitution:

[tex]=(3x-1)-(x+2)[/tex]

Simplify. Distribute:

[tex]=(3x-1)+(-x-2)[/tex]

Rearrange:

[tex]=(3x-x)+(-1-2)[/tex]

Therefore:

[tex](f-g)(x)=2x-3[/tex]


Related Questions

Estimate 95.63+66.552 by first rounding each number to the nearest whole number

Answers

Answer:

162

Step-by-step explanation:

95.63 rounds up to 96

66.552 stays at 66

96+66=162

Please help.. Please. Is this a positive trend or negative trend or no trend ​

Answers

Answer:

it's a no trend cause its literally nothing but dots

i need help with this!! i have to get my hw done quick!!

Answers

Step-by-step explanation:

221+w=274..................

.......

Answer:

53 + 221 = 274

Step-by-step explanation:

I'm pretty sure its saying

w + 221 = 274

and in this case, w = 53

because if you subtract 274 by 221 you get 53.

Best of luck to you!!!

Multiple-choice questions
Tick the correct answer to each of the questions below.
1 When selling a product to your client it is important to:
a make sure it is the most expensive
b give good advice on how to use it
c make sure the sale is quick
d put it in an attractive bag
2 Always having retail products in stock is one way of:
a spending a lot of money on stock
b making more money
c leaving the salon vulnerable to theft
d keeping clients happy
3 Communication occurs between people through:
a body language and speech
b talking to the client in consultation
c verbal, non-verbal and written forms
d verbal and written forms

Answers

Answer:

1. B

2.D

3.D

Don't hold me to my answers, they are just the best answers and i have experience with these things. I hope this helps

Answer:

1=b

2=b

3=c

Step-by-step explanation:

I HOPE THIS HELPED

IF WRONG IM SORRY HAVE A WONDERFUL WEEK:)

help easy alll you have to do is drag arrows wich i will be doing to the finish line have any questions comment!!!

Answers

Answer:

tyreagdfasgavgcrec

Step-by-step explanation:

aerbygrsyhbrsvd

Write an expression, using an exponent that is equivalent to 6 x 6 x 6 x 6 x 6.

Answers

Answer:

6^5

Step-by-step explanation:

put the 5 and make it tiny on top of the 6

Answer:

6^5 to give u the same thing as 6×6×6×6×6×6

Which number line shows 1 to 4 divided into fifths?

Answers

Answer:

Second option!!!

Step-by-step explanation:

Hope it helps you:)

What is the common ratio of the sequence?
-2, 6, -18, 54....
-3
-2
3
8

Answers

Answer:

-6/-2=-18/-6=54/-18

=3

Answer: A. -3

Step-by-step explanation: -3 is the correct answer. -2x-3=6, 6x-3=-18,

-18x-3=54

Combine Like Terms for this expression.
8r - 9 - 2r-1

Answers

Answer:

Your answer would be- 8-6r

Step-by-step explanation:

  You would combine the LIKE TERMS. The two pairs of like terms are 8r-2r and 9-1. You subtract those two pars and get 8-6r!

          JOKE TIME!

Why did the gym close down? It just didn't work out. *Nods head. Very sad.

It’s in the picture please and thank you ^*

Answers

Answer:

38 degrees

Step-by-step explanation:

3x+2x+15+95+60=360

the sum of the angles of a quadrileteral=360

5x+170=360

5x=360-170

5x=190

x=190/5

x=38 degrees

PLEASE ANSWER ASAP!
2(h -3.5) = -11
what is h?

Answers

Answer: -2

Step-by-step explanation:

2(h -3.5) = -11 Distributive property

2h - 7 = -11. Add 7 to both sides

2h = -4. Divide both sides by 2

h = -2

Answer: The answer is -2 :)

Step-by-step explanation: 2(h -3.5) = -11  distributive propert

2h-7=-11 Add  -7 to both side

     +7  =+7

2h=-4 Divide 2 to both side

2  =  2

h=-2

What is the measure of angle L?

What is the length of JL?

What is the length of KL?
Please help

Answers

Answer:

53

Step-by-step explanation:

[tex]K+J+L = 180\\90 + 37 + L = 180\\L = 53[/tex]

You paint four walls. Each wall is a rectangle with a length of 18 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?

Answers

Answer:

you will need exactly 2.7 gallons of paint but if rounded you'll need 3 gallons

Step-by-step explanation:

Can someone tell me how to do a transversal angle measurement with steps and angles

Answers

Answer:

Sorry I am not sure but when I figure it out..... I prolly won't

Step-by-step explanation:

Answer:

 

When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary

Step-by-step explanation:

Solve 3b – 8 + 6 = 2(b + 6)

Answers

Answer:

b=14

Step-by-step explanation:

3b-2=2b+12

b-2=12

b=14

A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below. Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply. From x = -2 to x = 0, the average rate of change for both functions is negative For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. The quadratic function, y = x2 + 3, has an x-intercept at the origin The quadratic function, y = x2, has an x-intercept at the origin From x = -2 to x = 0, the average rate of change for both functions is positive For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

Answers

Answer:

Step-by-step explanation:

From x = -2 to x = 0, the average rate of change for both functions is negative

The quadratic function, y = x2, has an x-intercept at the origin

For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

those 3 are good

The quadratic function, y = x², has an x-intercept at the origin is, TRUE

And, The quadratic function, y = x² + 3, has an x-intercept at the origin is, FALSE

From x = -2 to x = 0, the average rate of change for both functions is positive is, FALSE

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We have;

When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.

Hence, From x = -2 to x = 0, the average rate of change for both functions is negative is true.

And, Both are declining if you read the graph from left to right.

For the quadratic function, y = x², the coordinate (2, 3) is a solution to the equation of the function is false.

y = x²

If we insert 2 into y = x² we get y = 4 but our point (2, 3) has y = 3

For the quadratic function, y = x² + 3, the coordinate (2, 7) is a solution to the equation of the function is true.

If we insert 2 for x, we see that;

⇒  y = x² + 3

⇒  y = 2² + 3

⇒  y = 7

And, our y value in the point (2, 7) is 7.

Learn more about the function visit:

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getting a sum of either 7, 10, or 11 on a roll of two dice

Answers

So I don’t get this but ima say 10

What is the equation of line m

Answers

Answer:

so I dont know what you mean by that

Step-by-step explanation:

there is no way for anyone to tell sorry

In parallelogram DEFG if m_DEF=110° find m_FGD.
E
110°
D
G

Answers

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3)

Answers

Answer: 3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3

The answer is 14

• The average cow drinks 168 quarts of water each day. Given that there
are 4 quarts to one gallon, how many gallons of water does the average
cow drink?

Answers

42 gallons. This is because there are 4 quarts in a gallon and 168/4=42

Pythagorean Theorem Quiz.
1.) Find the unknown side length. Simplify answers that are radicals.
4
3
2.) Find the unknown side length. Simplify answers that are radicals.
16
12

Answers

Answer:

1.) 5              2.) 10.58

Step-by-step explanation:

For each one, you use the equation a^2 + b^2 = c^2 where c is the "hypotenuse"-- the side of the triangle opposite (facing) the right angle which is shown with a small box. The variables a and b do not matter, as long as they are the "legs", the other 2 sides.

So it is 4^2 + 3^2 = c^2 which simplifies to 16+9=25=c^2 and square root both sides and you get c=5

and 12^2 + b^2 = 16^2 which simplifies to 144+ b^2 = 256 and subtract 144 from both sides and you get b^2 = 112 and square root both sides and it is approximately 10.6 :)

An online book store has 182 boxes of books in its warehouse. Each box has 32 books.

Part A
Which equation represents the best estimate of the total number of books in the warehouse?
180 × 30 = 5,400
180 × 40 = 7,200
190 × 40 = 7,600
200 × 40 = 8,000
Part B
Is the best estimate in Part A an underestimate or an overestimate? Explain.

It is an underestimate. The rounded value for 182 is less than 182, and the rounded value for 32 is less than 32. The estimated product must be less than the exact product.

It is an overestimate. The rounded value for 182 is greater than 182, and the rounded value for 32 is greater than 32. The estimated product must be greater than the exact product.

It is an overestimate. The rounded value for 182 is greater than the rounded value for 32. The estimated product must be greater than the exact product.

It is an underestimate. The rounded value for 32 is closer to 32 than the rounded value for 182 is to 180. The estimated product must be less than the exact product.

Answers

part a:
180 x 30

part b:
underestimate. the rounded value is less than the original number

Answer:

Part is A. Part B is underestimate. Part C (for the choose drop-off boxes are these: 1# < 2# < 3# <

Step-by-step explanation:

I took the test, hope it helps.

1/2 + 2/3 divided by 1/6 =

Answers

Answer:

4 3/6 or simplified 4 1/2

Step-by-step explanation:

Answer:

The answer is 4.5

Step-by-step explanation: Trust me thats the answer :)

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+116x+75

Answers

Answer:

7.85

Step-by-step explanation:

the other guy is incorrect,

What is n2+5 If n=5?

Answers

Is that cube or n just multiply to 2?

Answer:

15

Step-by-step explanation:

n is 5 so 5 times 2 equals 10 and plus 5 it equal 15

Need help will give 15 points!!

Answers

Answer:cool

Step-by-step explanation:

The 12 students in the Environmental Club represent 20% of the students in the seventh grade. How many students are in the seventh grade?

Answers

The students that are in the seventh grade is 60.

How to calculate the number of students?

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Let the students that are in the seventh grade be x.

Since 12 students in the Environmental Club represent 20% of the students in the seventh grade. This will be:

20% × x = 12

0.2x = 12

Divide

x = 12 / 0.2

x = 60

Therefore, there are 60 students.

Learn more about percentages on

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Which of the following is the correct quotient identity?​

Answers

Answer:

no.c is ther your answer

Write the equation of the line that passes through the point 2,-1 and has a slope of -3

Answers

Answer:

-3

Step-by-step explanation:

-3 is your answer

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