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

Answers

Answer 1

9514 1404 393

Answer:

  (f-g)(x) = x -3

Step-by-step explanation:

  (f-g)(x) = f(x) -g(x)

  = (3x -2) -(2x +1)

  = 3x -2 -2x -1 = (3x -2x) +(-2 -1)

  (f-g)(x) = x -3


Related Questions

witch of the following statements is true​

Answers

Answer:

in pretty sure its bfg is a right angle

Answer:

second one

Step-by-step explanation:

have a great day

Alice, Bob, and Christy are setting up aquariums. The design of each aquarium is below. Alice has enough pebbles to cover 9 square feet. Does she have enough to put a layer of pebbles on the bottom of Aquarium A?

Answers

Answer:

Step-by-step explanation:

Yes, she does

Answer:

Yes, she does

Step-by-step explanation:

What is the equation for the line shown on this graph?

Answers

y=-7
Since it’s a straight line, there is no slope. So this is a zero slope line.

I need help with math

Answers

Answer:

0,-2        0,-5

2,-3          1,-4

Step-by-step explanation:

Help! I’ll mark brainly! I really need help don’t have much time ! Please help<3

Answers

Here, hope this helps, if you have any questions about how I did anything feel free to comment

Can someone please help me!!! Ill mark brainliest!!

Answers

Answer: 252 ft

Find the area of the whole thing, then find the area of the green rectangle, then subtract to find the answer.

Solve 5x=45 using the opposite operation

Answers

Answer:

the answer is 8

Step-by-step explanation:

5 times  8 =45 5 time table

Answer:

9

Step-by-step explanation:

8x9=45

Evaluate 8(a +b) when a = 5 and b = 11

Answers

Answer:

Hi there

your answer is 128

Step-by-step explanation:

8(5+11)

Answer:

128

Step-by-step explanation:

8(5+11)= 128

what is the answer to 2 (r-4)+5(r+2

Answers

Answer:

7r + 2

Step-by-step explanation:

I hope this helps have a great day

Multiply 2 by (r-4) we will get
2r-8
Then multiply 5 by (r+2)
5t+10
Let’s sum them
(2r+5r)+(10-8)
Which is equal
7r+2

Alfredo's bank charges an $8 service fee each month if his account goes below $500. In June, Alfredo had $510 in his account. He withdrew $25 and then did not have any transactions in his account for 6 months. a. Write as an integer the amount by which Alfredo's bank balance changed during the six months.

Answers

Answer:

$48

Step-by-step explanation:

Given that he is charged $8 service fee each month if his account goes below $500. If he has $510 and withdraws $25 the amount in account would be

= $510 - $25

= $485

This is below $500 hence he will be charged $8

Since he did not have any transactions in his account for 6 months, the change in his account as a result of the monthly charge

= 6 * $8

= $48

solve the inequality -3x + 6 > -2​

Answers

Answer:

x<8/3

Step-by-step explanation:

Your answer is x is less than 8 over 3

Answer:

Answer is d

Step-by-step explanation:

x<8/

Which number sentence is true? A. –38.44 6.2 = 6.2 B. –38.44 (6.2) = –6.2 C. –38.44 (–6.2) = –6.2 D. 38.44 6.2 = –6.2

Answers

Answer:

Option B:

[tex]-\frac{38.44}{6.2} = -6.2[/tex]

Step-by-step explanation:

Given

Options A to D

Required

Determine which is true

Option A:

[tex]-\frac{38.44}{6.2} = 6.2[/tex]

[tex]-6.2 = 6.2[/tex]

This is not true

Option B:

[tex]-\frac{38.44}{6.2} = -6.2[/tex]

[tex]-6.2 = -6.2[/tex]

This is true

There is no need to check further

Put the numbers in order from smallest to largest

-10,-1,0,10,1

Answers

Answer:

The order is (-10,-1,0,1,10)

Answer:

-10 -1 0 1 10

Step-by-step explanation:

as -10 is smaller than -1 is because the negative numbers keep getting smaller as they progress for example 1 and 10 which is bigger it is ofc 10 but I negative numbers its quite the opposite hope this helps

10 POINTS FOR WHOEVER ANWSERS!

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

Transform to slope-intercept form. 1+2y=6x-3

Answers

Hello the slope intercept form is y=3x-2

Answer: Y=3X-2

Step-by-step explanation:

First you are gonna need to combine all like factors.

1+2y=6x-3 (subtract 1 from both sides)

2y=6x-4

Then you need to get the y by itself.

2y=6x-4 (divide all terms by 2)

y=3x-2

now you are in slope intercept form (y=mx+b)

1) Today's temperature will be at least 55°, but not more than 65º. Write and graph an inequality to show this situation.​

Answers

Answer:

[tex]55 \leqslant x < 65 [/tex]

What is the x-value of the solution to the system of equations?
5x + 4y =8
2x -3y = 17
-3
O -2
O 4
O5

Answers

Answer:

-234

Step-by-step explanation:

5x + 4y =8 2x -3y = 17 -3 O -2 O 4 O5=234

A pyramid has a rectangular base with edges of length 10 and 24. The vertex of the pyramid is directly 13 units above the center of the base. What is the: Total surface area of the pyramid?​

Answers

Answer:

10 x 24 x 13 = 3120?

Step-by-step explanation:

I hope this is right!

Answer:

[tex]10\sqrt{313} +24\sqrt{194}+240[/tex] square units

Step-by-step explanation:

If your base is 10x24, and the vertical height is 13, you first have to find the slant height of the pyramid, in other words, calculate the hypotenuse of the triangles constructed using the height and the base divided by 2. You will need to find two slant heights as the base is not square. If you look at that image, the slant heights are marked in blue, and the specific measurements know are given in red. Using that, we can apply the Pythagorean theorem to determine the slant heights, which are [tex]\sqrt{194}[/tex] and [tex]\sqrt{313}[/tex], then we need to calculate the area of each triangular face. Thus they are [tex]5\sqrt{313}[/tex] and [tex]12\sqrt{194}[/tex], but there are two identical faces in the pyramid, which means we should double the area of the faces to achieve [tex]10\sqrt{313} +24\sqrt{194}[/tex], then we need to simply add the base as it's a face. So the answer is [tex]10\sqrt{313} +24\sqrt{194}+240[/tex]

How do I solve this??? LOL

Answers

Answer: y=8

Step-by-step explanation: 4y-4+3y=52

What is the least common multiple of 8, 7, and 2?

Answers

Answer:

1 i know its one hope it help

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 2 shows:

2 is prime  =>  21

Prime Factorization of 7 shows:

7 is prime  =>  71

Prime Factorization of 8 is:

2 x 2 x 2  =>  23

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 2, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 7 = 56

In exponential form:

LCM = 2^3 x 7^1 = 56

LCM = 56

Therefore,

LCM(2, 7, 8) = 56

AI need help with this math homework ASAP I need the independent variable the dependent and the equation

Answers

Answer:

b is the independent variable

c is the dependent variable

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

PLEASE HELP! I WILL GIVE BRAINLIEST!!

One side of a rectangle is 9 inches longer than another side. If the longer sides of this rectangle decreases by 5 inches and the shorter sides increases by 3 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle

Answers

Answer:  The original rectangle was 15 inches by 6 inches

=============================================================

Explanation:

L = original lengthW = original width

Let's make the length longer than the width, so L = W+9 since we're told that one side is 9 inches longer than another.

The area of this rectangle is

Area = length*width

A = L*W

Through substitution, we can replace L with W+9

A = (W+9)W

A = W^2 + 9W

We'll come back to this later.

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

Now let's decrease the longer side L by 5 inches to get L-5. At the same time, we'll increase the shorter side W by 3 to get W+3.

The new rectangle is (L-5) inches by (W+3) inches which leads to the area of...

A = (length)*(width)

A = (L-5)*(W+3)

A = (W+9-5)*(W+3) .... L replaced with W+9

A = (W+4)(W+3)

A = W^2 + 3W + 4W + 12 .... FOIL rule

A = W^2 + 7W + 12

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

We found these two area expressions

W^2 + 9WW^2 + 7W + 12

We're told that the two areas (of the original and new rectangle) are equal to one another. Set them equal to each other and solve for W

W^2 + 9W = W^2 + 7W + 12

9W = 7W + 12 ............ subtracted W^2 from both sides

9W-7W = 12

2W = 12

W = 12/2

W = 6

The original width is 6 inches

L = W+9 = 6+9 = 15

The original length is 15 inches

The original area is L*W = 15*6 = 90 square inches

The new rectangle has side lengths of (L-5) = (15-5) = 10 inches and (W+3) = (6+3) = 9 inches. Then note how the area of this new rectangle is 10*9 = 90 square inches to match the other area. This helps confirm we have the correct answer.

Answer:

15 by 6

sorry i dont know how to do it

Christie has $3.80 in quarters and dimes. She has three more dimes than quarters. How many of each coin does she have?

Answers

Answer:

Quarters = 10

Dimes = 13

Step-by-step explanation:

Given that :

Quarters = $0.25

Dimes = $0.10

Total value =. $3.80

Let :

Quarters = a

Dimes = a + 3 (3 more dimes Than quarters)

0.25a + 0.10(a + 3) = 3.80

0.25a + 0.10a + 0.3 = 3.80

0.35a = 3.80 - 0.3

0.35a = 3.5

a = 3.5 / 0.35

a = 10

Quarters = a = 10

Dimes = a + 3 = 10 + 3 = 13

rs10,000 for 1 year at 8% per annum compounded half yearly.​

Answers

Step-by-step explanation:

Answered 1 year, 9 months ago

Given,

Principal, P =Rs.10000,  Rate, R = 8% per annum compounded half yearly for 1 year. 

Now, There are two half years in a year. Therefore compounding has to be 2 times. 

And rate = half of 10% = 5% half yearly.

Therefore, the required amount =   = Rs. 10816

And Compound Interest, C.I. = Amount - Principal = Rs. (10816 - 10000) = Rs. 816.

hope it helps you

6.On Saturday, Jane likes to work out, eat, and read a book. She will either lift weights, run, or hike. Then she will choose 1 of the 6 restaurants near her home, and read either Harry Potter, Catcher in the Rye, or Girl on the Train. How many different ways can she spend her Saturday?

Answers

Answer:

Number of different ways can she spend her Saturday = 54

Step-by-step explanation:

Jane has to do three types of things - Work out , Eat and Read a book

In Work out -

She either lift weights, run, or hike

In Eating -

She will choose 1 of the 6 restaurants near her home

In Reading -

Read either Harry Potter, Catcher in the Rye, or Girl on the Train

Number of ways in which she can work put = ³C₁ = [tex]\frac{3!}{1! (3-1)!} = \frac{3!}{2!} = 3[/tex]

Number of ways in which she can eat = ⁶C₁ =  [tex]\frac{6!}{1! (6-1)!} = \frac{6!}{5!} = 6[/tex]

Number of ways in which she can read =  ³C₁ = [tex]\frac{3!}{1! (3-1)!} = \frac{3!}{2!} = 3[/tex]

So, Total number of ways = 3×6×3 = 54

Last week, Jay had $217 in the bank, but this week, Jay is $28 in debt. Write an equation that describes that situation.

Answers

Answer:

?

Step-by-step explanation:

Answer:

217-245=-28

Step-by-step explanation:

Add $28 to $217, which is $245. Then subtract 245 from 217.

Find g. 45° 45°
[tex] 3\sqrt{2} [/tex]

Write your answer in simplest radical form, units​

Answers

Answer:

sin45=3√2/g

g=3√2/(1÷√2)=3×√2×√2=3×2=6units

Answer: 6 (the math sign that’s like a checkmark i thinks it’s square root) 2. So like 6/2 you get the point.

Step-by-step explanation: I just had this problem on ixl and it gave me the answer

At a restaurant, the cost for one breakfast taco and one glass of milk is $2.10. The cost for two tacos and three glasses of milk is $5.15.

Write a system of equations to represent this situation. DO NOT SOLVE.
Let x = # of tacos and y = # of glasses of milk.

Answers

Answer:

2x+3y=5.15

Step-by-step explanation:

The answer is : x + y = 2,10
2x + 3y = 5,15

Solve this equation:

-5(x - 2) - 3x = -80

Answers

Answer:

x=45/4

Decimal Form:

x=11.25

Mixed Number Form:

x=11 1/4

Step-by-step explanation: PLEASE MARK ME BRANLIST AND IF U CAN ANSWER MY QUESTION FROM MY PROFIL WOULD BE NICE.

HAVE A GREAT DAY! ❤️

Please I need this TOMORROW ​

Answers

Answer:

here u go !! <3

Part 1:

1. 18 - [(15 - 9 + 4] - 2 = 6

2. 6² - [3² + (3 + 12)] = 12

3. 21 - [(2 × 4) + 2 + 5] = 6

4. [(17 - 10) + 4] + 5² = 36

5. 36 ÷ 6 + [(5 × 3) + (13 - 6) + 10] = 38

Part 2:

6. 15 ÷ 3 × 5 - 16 = c. 9

7. 2 [5 + (30 ÷ 6)²] = d. 60

8. [3² × 4] - [6 + 4²] = b. 14

9. 8 [6² - 3 × (2 + 5) - 8 + 3] = e. 80

10. 15 - {27 - 2 × [33 - 4 × (5 + 1)]} = a. 6

Answer:

(1 )14

(2) 45

(3) 20

(4) 36

(5)121

(6) 6

(7)9

(8) 14

(9)80

(10)60

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