4. If f(x) = 4x-8 and g(x)=x-2, evaluate (f-g)(x).


algebra 2​

Answers

Answer 1

Answer:

(f - g)(x) = 3x - 6

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 8

g(x) = x - 2

(f - g)(x) is f(x) - g(x)

Step 2: Find

Substitute:                              (f - g)(x) = 4x - 8 - (x - 2)Distribute negative:               (f - g)(x) = 4x - 8 - x + 2Combine like terms:              (f - g)(x) = 3x - 6

Related Questions

J. D. Is saving up to buy a set of Apple Airpods. It is advertised on the web site for $199. He has $56 saved. To make money, he does yardwork for his neighbors and receives $5.00 a day. How many days of yardwork will he need to complete to have enough money to buy the Airpods? His parents said they will pay the sales tax.

Answers

Answer:

29 days!

Step-by-step explanation:

$199 - $56

$143

$143/ $5 = 28.6

28.6 --> 29

Answer:

29days

Step-by-step explanation:

just work out how many fives there is there

A drive in movie charges $9 per car plus $2 per person in the car. The total cost for going to the drive in movie when you go on x people are in the car is f(x) = 2x + 9. How will the graph of this function change if the cost per car is changed to $6 ?

Answers

Step-by-step explanation:

f(x)= 2x + 9

               Cost per car

Change 9 to 6.

f(x) = 2x + 6

Because 9 was the y-intercept and it was changed to 6, or 3 units down, the function would be be translated 3 units down

Hope this makes sense!!!!

URGENT NEEDS ANSWERED WITHIN 20 MINUTES
Find the radius of a circle whose sector area is 59 square inches and whose arc measures 40o.

Answers

The radius of the following is 2360

A line that contains the point (0,4) if the slope of the line is m=5 write the equation of the line using slope intercept form

Answers

Answer:

y = 5x + 4

Step-by-step explanation:

Slope intercept form is y = mx + b. m is the slope which is already given to you, which leaves you with y = 5x + b. Then you plug in (0,4) to find what b is. 4 = 5(0) + b

4 = 0 + b

4 = b

y = 5x + 4

How to do this question plz answer ​

Answers

Answer:

45° and 135°

Step-by-step explanation:

(a)

The sum of the angles around O = 360°

There are 8 segments from each vertex to O , thus

∠ AOB = 360° ÷ 8 = 45°

The sum of the interior angles of a regular polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 8 , then

sum = 180° × 6 = 1080°

In a regular polygon the 8 interior angles are equal, thus

∠ ABC = 1080 ÷ 8 = 135°

9514 1404 393

Answer:

  a) angle AOB = 45°

  b) angle ABC = 135°

Step-by-step explanation:

a) The sum of the 8 identical central angles is 360°, so each one has a measure of ...

  angle AOB = 360°/8 = 45°

__

b) The sum of the 8 exterior angles is 360°, so each one is 45°, the same measure as the central angle. The measure of angle ABC is the supplement of the exterior angle at B, so is ...

  angle ABC = 180° -45° = 135°

_____

In the attached image, the central point is your O. Angle AOB is the interior angle of triangle AOB whose vertex is at O.

Please please please please help me!!!

Answers

The correct answer is the first choice :)

Answer:

9c2/a4

Step-by-step explanation:

To Clarify 9c is squared and a is held to the fourth power

Can someone tell me the two answers Plz I’ll mark brainlist and points

Answers

Answer:

21.

a) don't color the straps green

b) color the straps black

19.

a) color the shapes black

b) don't color the shapes brown

Step-by-step explanation:

3(4x+4) pls quickly:)

Answers

Answer:

12x+12

Step-by-step explanation:

3(4x+4)

you times both answers to get rid of the 3

=3 • 4x + 3 • 4

= 12x+12

because they are not like terms so you cannot do anything further.

Got the answer thanks

Answers

Answer:

Welcome

Step-by-step explanation:

Solve the simultaneous equations:

3a-2b=14
12a+9b=39

Answers

Use elimination
Multiply first equation by 4
12a - 8b = 56
12a + 9b = 39
Subtract both
-17b = 17
b = -1
Plug in -1 for b
3a - 2(-1) = 14
3a = 12, a = 4
Final answer: a = 4, b = -1

The graph of the cube root of X is shifted one unit down in seven units to the left. What is the equation of the resulting graph? Explain

Answers

Using translation concepts, it is found that the equation of the resulting graph is given by:

[tex]y = \sqrt[3]{x + 7} - 1[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The cube root function is given by:

[tex]y = \sqrt[3]{x}[/tex]

The changes are as follows:

Shifted one unit down, hence 1 is subtracted from the function.Shifted seven units to the left, hence [tex]x \rightarrow x + 7[/tex] in the domain of the function.

Hence, the equation is given by:

[tex]y = \sqrt[3]{x + 7} - 1[/tex]

More can be learned about translation concepts at https://brainly.com/question/4521517

What is the equation of the line that passes through the point (3,-2) and has a
slope of -2?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

A video game system and several games are sold for $652. The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.
Cost of the video game system: $

Answers

Answer:

The cost of the system is $163 and The cost of the games is $489

Step-by-step explanation:

∵ A video game system and several games are sold for $652

∵ The cost of the games is 3 times as much as the cost of the system

→ Assume that the cost of the system is $x

The cost of the system = x

The cost of the games = 3 × x = 3x

∵ The total cost of the system and the games = 652

→ Equate the sum of the cost of the system and the cost of the games

   by 652

x + 3x = 652

→ Add the like terms in the left side

∴ 4x = 652

→ Divide both sides by 4 to find x

∵ [tex]\frac{4x}{4}=\frac{652}{4}[/tex]

x = 163

∵ The cost of the system = x

The cost of the system is $163

∵ The cost of the games = 3x

∴ The cost of the games = 3(163) = 489

The cost of the games is $489

Which of these graphs do not represent constant rates of change? Check all that apply. On a coordinate plane, a parabola opens up. On a coordinate plane, a line has a negative slope. On a coordinate plane, a line has a positive slope. On a coordinate plane, a line is constant and then curves rapidly up.

Answers

Answer:

A and D

Step-by-step explanation:

Got it right on Edge hope this helped!

Answer:

A&B

Step-by-step explanation:

its right on edg

Use the given information to write the equation of the line.
slope 2, y-intercept - 4

Answers

Answer : y = 2x - 4

Hope this helps (:

A pizza restaurant sells containers of juice that it marks up 75 percent above its wholesale cost. If the restaurant marks up each container by $0.90, how much does the restaurant pay for each container of juice wholesale?
$0.51
$0.83
$1.20
$1.58

Answers

Answer:

$1.20

Step-by-step explanation:

$0.90=75%. divide it by 3. =$0.30. do 4 times $0.30. $1.20.

Answer:

75% of what is 0.90

0.75x = 0.90

x = 0.90/0.75

x = 1.20 <== restaurant pays $ 1.20 wholesale

Determine if the two triangles are congruent. If they are, state how you know.
1)
2)

Answers

1 SAS
2ASA
3AAS
4AAS
5ASA
Im pretty sure i’m correct :(:

please help its so late at night

Answers

The answer is C and have a good night sleep
Answer is c good night

how many is ounces is 4 gallons

Answers

Answer:

512 ounces

Step-by-step explanation:

There are 128 ounces in a gallon.

128 x 4 = 512

Answer:

512

Step-by-step explanation:

Please help!!!! The length of a rectangular garden is 3 yards more than its width. The perimeter of the garden is 36 yards. What are the width and length of the garden?

Answers

Length. 10.5
Width. 7.5

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

no pic or better explanation

Step-by-step explanation:

if you give a pic or explanation we cant help sorry

What is the y-intercept of the graph at the right? (only type the number)

Answers

Answer:

#1: 0; #2: -35

Step-by-step explanation:

Y-intercept is where the line crosses the y-axis (the vertical one).

HTH :)

P = 2(w + h)

W = 12 correct to the nearest whole number

h = 4 correct to the nearest whole number

Work out the upper bound for the value P

(urgent please)​

Answers

Answer:

p=32

Step-by-step explanation:

4+12=16

16×2=32

p=32

After substituting W = 12, h = 4, in the equation P = 2(w + h), P = 32

What is upper bound?

"An element greater than or equal to all the elements in a given set."

What is equation?

"It is an expression which contains an equal symbol."

For given question,

Given equation: P = 2(w + h)

W = 12, h = 4

After substituting these values in given equation,

⇒ P = 2 × (12 + 4)

⇒ P = 2 × 16

P = 32

Learn more about upper bound here:

https://brainly.com/question/22965427

#SPJ2

4 of the 9 tiles in the floor pattern are white. What percent of the tiles are white?

Answers

Answer:

44.5%

Step-by-step explanation:

THis is because 4/9x100=44.5, which means that 44.5% of the tiles are white

Help please, be sure your right.

Answers

Answer:

Step-by-step explanation:

System A and System B are not equivalent !!!  

HELPPPPPP PLEASEEE HURRYYYYY

Answers

Answer:

Function B has a greater slope than Function A

Answer:

Function B has a greater slope than Function A.

Step-by-step explanation:

If you graph function B, you see that it is much steeper than function A.

Enter values for X and Y in the table to plot points in the graph

Answers

Answer:12,16

Step-by-step explanation:

Answer:

16,28. 4,16. I'm not sure though

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

Step-by-step explanation:

I'm not exatcly sure what is meant by magnitude but if it is the slope it is simply -7 if it is asking about the actual magnitude or length of the vector then we use pthagorean theorum which is:

[tex]c^{2} =a^{2} +b^{2}\\[/tex]

when adjusted to solve for the  answer is

[tex]c = \sqrt{a^{2}+b^{2}\\}[/tex]

which is c = sqrt (1^2) + (-7)^2 = [tex]\sqrt{50}[/tex] would be the exact answer

What is x?
What is y?

Answers

Answer:

x=35, y=18

Step-by-step explanation:

the triangles are similar so they are in proportion

x/14=45/y= 40/16

[tex]\frac{x}{14} =\frac{40}{16}[/tex]  find x

[tex]x= \frac{14*40}{16} = 35[/tex]

[tex]\frac{45}{y} =\frac{40}{16}[/tex]  find y

[tex]y= \frac{45*16}{40} =18[/tex]

Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line should he use in his graph?

A A dotted boundary line, because the values on the line should not be included in the solution set.

B A solid boundary line, because the values on the line should not be included in the solution set.

C A dotted boundary line, because the values on the line should be included in the solution set.
D A solid boundary line, because the values on the line should be included in the solution set.

Answers

Answer:

A

Step-by-step explanation:

trust your self because we need to Tren our self
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