For f(x) = 2x+1 and g(x) = 3x-7, find (f-g)(x)

Answers

Answer 1

Answer:

(f - g)(x) = -x + 8

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 1

g(x) = 3x - 7

(f - g)(x) = f(x) - g(x)

Step 2: Simplify

Set up:                              (f - g)(x) = (2x + 1) - (3x - 7)Distribute -1:                     (f - g)(x) = 2x + 1 - 3x + 7Combine like terms:        (f - g)(x) = -x + 8
Answer 2

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

[tex](2x + 1) - (3x - 7) = [/tex]

[tex]2x + 1 - 3x + 7 = [/tex]

[tex] - x + 8[/tex]

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Thus ;

[tex](f - g)(x) = - x + 8[/tex]

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Related Questions

joe lives 13,000 in a city that is 13,000 feet below sea level. What number represents his city's sea level?

Answers

Answer: -13,000

Step-by-step explanation:

Answer:

-13,000

Step-by-step explanation:

MARY is making pillows for her new office. She bought 2 1/2 yards of fabric. Her
total cost was $17. What was the cost per yard?

HELP ME PLZ

Answers

17 / 2.5 = 6.80 a yard

SOMEONE, PLEASE HELP ME OUT!!!!!! WILL MARK BRAINLIEST
What are the simplified versions of the expressions shown below??
(21,24,27, and 29 don't count

Answers

Answer:

19) 9x^2 -1

20) 4x^2 +21x -18

22) 2x^2 -13x -7

23) 3x^3 -9x^2 -13x +4

25) 4x^2 +21x -18

26) -14x^3 -12x^2 -x +3

28) 3x^3 -9x^2-13x +4

30) 4x^2 -12x +9

Answer:

19 . 9x square -1

20. 4x square + 21x - 18

22. 2x square - 13x - 7

23. 3x cube -9x square - 13x - 4

25. 4x square + 21x - 18

26. 4x cubed - 12x square - 1x -3

28. 3x cubed - 9x square - 13x - 1

30. 4x square -12x + 9

Step-by-step explanation:

REMEMBER THE SQUARE & CUBE because there isn’t that option

PLZZZ MARK BRAINLIEST I WORKED REALLY HARD FOR THIS

HOPE THIS HELPS

HELP ASAP I DONT WANNA FAIL

Answers

Answer: the third one

Step-by-step explanation:

Answer:

2 x 10^16

Step-by-step explanation:

1.3 x 10^-4 x n = 2.6 x 10^12

(1.3 x 10^-4 /1.3 x 10^-4) x n = 2.6 x 10^12/1.3 x 10^-4

n = 2 x 10^16

When dividing, subtract your exponents.

12 - (-4) = 16

Dilate line f by a scale factor of one half with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?
(A) The locations of A' and B' are A' (0, 2) and B' (0, 0); lines f and f' intersect at point A.
(B) The locations of A' and B' are A' (0, 1) and B' (1, 0); lines f and f' are parallel.
(C) The locations of A' and B' are A' (0, 0) and B' (2, 0); lines f and f' intersect at point B.
(D) The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.

Answers

Answer:

B. The locations of A' and B' are A' (0, 1) and B' (1, 0); lines f and f' are parallel.

Step-by-step explanation:

Took the test

Fueleconomy.gov gives the city and highway fuel economy for all makes and models of vehicles back to 1984. The table
gives the city and highway fuel economy (mpg) for a random sample of ten 2021 vehicles
a. Find the equation of the LSRL. Write it below.
b. Find and interpret s.
C. Find and interpret the value of m2

Answers

The equation of the Least Square Regression Line which models the data for the city and highway fuel economy and interpreted values of it's parameters are :

Ŷ = 1.264X + 6.084

The slope, s = 1.264, per unit increase in miles per gallon of 2021 car models.

The intercept Value = 6.084, which is the least value of highway fuel economy a 2021 car model could have.

The Least Square Regression Line produces a fitted model of the linear relationship between a given set of data.

Using technology such as Excel or a linear regression calculator, the linear model in the form y = a + bx produced by the data in the table attached is Ŷ = 1.264X + 6.084 ;

Where ; Ŷ = Predicted value of highway fuel economy.

X = predictor variable, City Fuel economy.

1.264 = slope value; which is the rate of change in highway fuel economy per unit change in City Fuel economy.

6.084 = Intercept, which is the value of, highway Fuel economy when the city fuel economy is Zero.

Therefore, the Least Square Regression Line shows that the there is a positive linear association between City and highway Fuel economy.

Learn more :https://brainly.com/question/18405415

Help me please!!!!!!

Answers

Answer:

.... I hope that is right.

Step-by-step explanation:

Function 2 is changing more quickly because the output(y) of the slope 29 is greater.

Answer:okay I think it is function 2

Step-by-step explanation:

the noodles are 1.29 $ for 1.25 kg how much will it cost for 100 g
PLS HELP

Answers

Answer:

[tex]\boxed{ \$0.1032}[/tex]

Step-by-step explanation:

[tex] 100 g \: will \: be \: \to \: 0.1kg \\ hence : if \:1.25 kg \: costs \: \$ 1.29 \\0.1kg \: will \: cost \to \: \frac{ \$ 1.29 \times 0.1kg}{1.25kg} \\ 0.1kg \: will \: cost \to \: 0.08 ( \$ 1.29)\\ = \boxed{ \$0.1032}\\ [/tex]

The length of a square is 6 2/3 inches. What is the Perimeter of the square?

Answers

Answer:

26 2/3 inches

Step-by-step explanation:

P=4s

P= 4 × 6 2/3

P= 26 2/3 inches

Round 53.121 to the nearest half.

Answers

rounded to the nearest half it would be 53

-10 + 4(3p + 10) = 18 solve for p

Answers

Answer:

p= -1

Step-by-step explanation:

4(3p+10)=28

12p+40=28

12p=-12

p=-1

Answer:

-10 + 4(3p + 10) = 18

12p+40=18+10

12p=28-40

p=-12/12=-1

Which product is negative?
(-3/8)(-5/7)(1/4)

Answers

Answer:

the first two

Step-by-step explanation:

Answer:

both of the first two

Step-by-step explanation:

Consider the equation: 3x + 1 – 9 = 3(x + 2) + n.

Give a value of n so that the equation has no solutions.

Explain why you are correct.

Answers

answer: n = -14

3x + 1 - 9 = 3(x + 2) + n

<=> 3x - 8 = 3x + 6 + n

<=> 3x - 8 - 3x - 6 = n

<=> n = -14

In a survey of 100 Phoenix high school students, 43 were male students. 42 students were female and went to Phoenix Full time. If there were a total of 72 full time students, how many part-time male students were in the survey?

12
29
30
13

Answers

30 male students do full time.

1o Divide
$ 20,000 in the ratio 3:2​

Answers

Answer:

30,000

Step-by-step explanation:

3/2 multiplied by 20k is

3 x 20000 over 2

which is 60000 over 2

which is 30000

a(x+b)-c=d
i need to know what x equals and i need the steps.. please and thank you!

Answers

Answer:

x= ((d+c)/a) - b

(the d+c/a are sperated from be )

Step-by-step explanation:

Remeber always move the  + or - over first

a(x+b) = d + c

then divide by a

(x+b) = (d+c)/a

-b on both side

x= ((d+c)/a) - b

what is the slope of (12,22) (-20,19)

Answers

Answer:

3/32

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

   = ( 19-22)/(-20-12)

   = -3/-32

   = 3/32

The graph of linear function k passes through the points(-7,0) and (1,8). Which statement must be true
Answers
The slope of the graph of k is -4/3.
The graph of k passes through the point (-1,-8).
The zero of k is 7
The x-intercept of the graph of k is -7.

Answers

Answer:

✅The x-intercept of the graph of k is -7.

Step-by-sep explanation:

Graph the equation of the line that passes through the points, (-7, 0) and (1, 8) by first generating an equation, and then using the equation of the function to plot the graph.

To find the equation, we need to calculate the slope, m, and y-intercept, b.

✅Using points (-7, 0) and (1, 8), the slope of the line is:

[tex] m = \frac{y_2 - y_1}{x_2 -x_1} = \frac{8 - 0}{1 -(-7)} = \frac{8}{8} = 1 [/tex]

Substitute x = 1, y = 8, m = 1 into [tex] f(x) = mx + b [/tex] to find the y-intercept, b, of the function. (Note: f(x) is same as variable y).

[tex] 8 = 1(1) + b [/tex]

[tex] 8 = 1 + b [/tex]

Subtract 1 from each side

[tex] 8 - 1 = b [/tex]

[tex] 7 = b [/tex]

[tex] b = 7 [/tex]

Substitute m = 1 and b = 7 into [tex] f(x) = mx + b [/tex]

The equation of the function is:

[tex] f(x) = (1)x + 7 [/tex]

[tex] f(x) = x + 7 [/tex]

The graph of the function, k, is shown in the attachment below.

❌Now, we know that the slope of the function, m, is 1. Therefore, option A is not correct.

We also know that the graph of the function, k, does not pass through the points (-1, -8). We can confirm this looking at the graph. ❌The point (-1, -8) is not on the line of the graph. Therefore, option B is not correct.

❌The zero of k, is the value of x for which the function, f(x) or y = 0. From our graph, y = 0, when x = -7. This can also be referred to as the x-intercept. The zero of k is -7, not 7.

Therefore, option C is not correct.

✅The x-intercept is where the line of the function of intercepts the x-axis. From our graph, the line intercepts the x-axis at x = -7.

So, the x-intercept of the graph of k is -7.

Therefore, option D is the only statement that is TRUE.

If 30 sets of goggles are ordered, how many total items should the surf shop order?

Answers

30 ? i’m not sure of what you’re asking exactly

Answer:

60

Step-by-step explanation:

30 goggles will be sent to their new home. you will need to restock them after losing the 30 to sell to others

5. Which line appears to have an x-intercept of -5 and a y-intercept of 3?

Answers

Answer:

I need a picture but if you count 3 up and and left 5 whichever line hits both of those points is the answer

WHO HERE LIKES AMONG US??

also, whats 2+2

Answers

Answer:

meeeeeee

2+2+ fish

Step-by-step explanation:

Answer:

I LOVE among us. and 2 + 2 = 4

Step-by-step explanation:

Can you pleaseeee give me brainliest?

Which list contains all of the factors of the number 48? (1 point)
O1, 2, 3, 4, 6, 8, 12, 16, 24
O2, 3, 4, 6, 8, 12, 16, 24, 48
O1, 2, 3, 4, 6, 8, 12, 16, 24, 48
O1, 2, 3, 4, 6, 8, 9, 12, 16, 24. 48

Answers


1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Answer:

1,2,3,4,6,8,12,24,48.

Step-by-step explanation:

To Find A Factor Of A Number You'll Need To Find Two numbers by which you multiply to get the number you're looking for.

SO TO FIND THE FACTOR OF 48 YOU WILL NEED TO FIND TWO NUMBERS THAT CAN MULTIPLY EACH OTHER AND GIVE A PRODUCT OF 48

1×48=48(Any number multiplied by 1 is the number itself and 1 multiplied by 48 is 48 so it makes it a factor)

2×24=48(Here you can clearly see that when 2 is multiplied by 24 the product is 48 so 2 and 24 becomes a factor of 48)

3×16=48(So getting the product 48 by multiplying 3 and 16 3 and 16 becomes a factor of 48)

4×12=48(You can see that when you multiply 4 by 12 the product is 48 so 4 and 12 becomes a factor of 48)

5×?=48(You can't get any number to multiply by 5 to get 48 so the number 5 is not a factor of 48)

6×8=48(With this you can see that when 6 is multiplied by 8 its product is 48 so it becomes a factor of 48)

So The Factors We Got After We Multiplied The Two Numbers Are As Follows;

1 and 48

2 and 24

3 and 16

4 and 12

So the above numbers becomes the factor of 48

So the factors of 48 are: 1,2,3,4,6,8,12,24,48.

find the perimeter of the isosceles triangle

Answers

Answer:

98 feet

Step-by-step explanation:

divide 48 by 2.

Then do pythag

c2=a2+b2, which is the formula to find c2 = 25

then add all together which is perimeter

Answer: 98 feet

Step-by-step explanation:

First, you need to find the hypotenuse, which is always opposite from the right angle.

Because this isosceles triangle consists of 2 right triangles, they are congruent which means that you can simply just divide 48 by 2 to find the base of one of the triangles, 24.

Next, use a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

625 = c^2

25 = c

Now, you can find the perimeter.

48 + 25 + 25 = 98 feet

Hope this helped :)

Suppose there are 360 students in the seventh grade at the middle school the table shows the favorite outdoor activities for a random of seventh graders from the schoolBased on the responses from the start of the survey about how many of the 360 students will be expected to choose kickball.

Answers

120 is the answer to the problem.

ILL GIVE BRAINLIEST IF UPU ANSWER ALL AND GOOD PLS JUST HELP I FOR GOT

Answers

10)
variable : cost of 1 square foot flooring = x

equation :
60x + 80 = 287
60x = 287 - 80
x = (287-80) / 60

11)
variable : doughnut cost = d

equation :
3(1.25) + 6d = 6.90
3.75 + 6d = 6.90
6d = 6.90 - 3.75
d = (6.90 - 3.75) / 6

12)
variable : smaller number = x

equation :
x + x + 1 = -29
2x + 1 = -29
2x = -29 - 1
x = (-29 - 1) / 2

13)
variable : number of shrubs : n

eqution :
n(25) + 110 = 260
25n = 260 - 110
n = (260 - 110) / 25

please help me with this

Answers

Answer:

B,C,E (last one)

Step-by-step explanation:

if x=3 which shape has a greater perimeter ​

Answers

Answer:

Quadrilaterial 1

Step-by-step explanation:

is 5.333333 rational or irrational

Answers

Step-by-step explanation:

irrational ok????>>>>

Answer:

Rational

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Given:15y+7=12-20y prove:y=1/7 (I just need the prove thanks)

Answers

Answer:

15y+7=12-20y (add 20y to both sides)

35y+7=12 (minus 7 from both sides)

35y = 5 (divide both sides by 35) (5/35=1/7)

y= 1/7

Answer:

64/7 = 64/7 yes y = 1/7

Step-by-step explanation:

To prove this we simply have to plug in!

15(1/7) + 7 = 12 - 20(1/7) (simplify)

15/7 + 7 = 12 - 20/7 (simplify further)

64/7 = 64/7

So yes y = 1/7

6. Determine the value of x and y in the diagram below.
Show how you determined the value of x and y using Algebra

Answers

Answer:

y=43

X=34

Step-by-step explanation:

a) 2y+4=90

2y+4-4=90-4

2y=86. divide 86 by 2 to get y.

b) 3x-11=90

3x-11+11=90+11

3x=101. divide 101 by 3 to get X.

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