What is (f - g)(x)?
f(x) = 3x?
g(x) = -x? + 4

Answers

Answer 1

Answer:

(f - g)(x) = 4x - 4

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 3x

g(x) = -x + 4

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

Step 2: Find

Substitute:                    (f - g)(x) = 3x - (-x + 4)Distribute -1:                 (f - g)(x) = 3x + x - 4Combine like terms:    (f - g)(x) = 4x - 4

Related Questions

Write an equation of the line that passes through (3, 7) and is parallel to the line shown. (1, 4) (- 2, - 2)

Answers

Answer:

y=2x+1.

Step-by-step explanation:

You first need to find the slope of the line already graphed. -2 to 1 would be three units to the right, and -2 to 4 would be six units up. You would use the equation (y2-y1)/(x2-x1), where x1 and y1 would be the x and y values of the first coordinate of the graphed line, and x2 and y2 would be the second coordinate. This would be 6/3, which can be simplified to 2/1, which can be simplified to 2, which would mean the slope of the given line would be 2, as well as the parallel line. Now, you could use a pretty complicated equation to find the y-intercept of the line you need to graph, but I would recommend using the slope to find it. Since the given point is (3, 7), you would need to go to the left, meaning you would reverse the slope until you reach the y-axis, so you would use -2 as the slope. 3*-2=-6, and 7-6=1, so the y-intercept would be 1. The answer would be y=2x+1. Hope this helps.

a keyboard that costs 475 is on sale for 175. How much money will you save buying it on sale?

Answers

Answer:

$300

Step-by-step explanation:

First, you subtract 475 and 175.

Which equals 300. That means that you saved $300.

Answer:$300

Step-by-step explanation:

475 (base price) - 175 (sale price)

=300 (saved price)

a tree of 14 m height is broken so that its top touches ground and makes an a 60 degeree.find the length of broken part of tree​

Answers

Answer:

98 - 24√3 is your answer dear.

Step-by-step explanation:

Let the length of broken part of the tree = 14 - x

For finding x

sin60° = √3/2 = x /14-x

14√3 - √3x = 2x

14√3 = 2x + √3x

14√3 = (2 + √3)x

x = 14√3/(2 + √3)x

after rationalisation

x = 24√3 - 84

substract it 14 - (24√3 - 84)

YOU'LL GET 98 - 24√3 WHICH IS YOUR ANSWER.

help me plz and thanks

Answers

Answer:

A, the solutions are x=3,2

Step-by-step explanation:

3x + 2y = 12 y = x - 9
solve by substitution

Answers

point form: (6,-3)
equation form: x=6, y=-3

I need help please ​

Answers

Answer:

I can't see the photo very well, can you retake it?

Step-by-step explanation:

Which point is a solution to the inequality shown in this graph?
(3, 2)
6
(-3,-6).

Answers

The answer is (0,5)
If u want answer to these types of questions use socratic

SOMEONE PLEASE HELP ME OUT WITH THIS PLEASE PLEASE PLEASEE I WANT TO PASS AND I DONT KNOW THAT ANSWER

Answers

Answer:

A and D

Step-by-step explanation:

C

i gotta add words so i meat the 20 character limit :)

3/5 divided by 2 1/2

Answers

Step-by-step explanation: To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators, we have 6/25.

The result of the division of 3/5 divided by 2 1/2 is: 6/25.

Here, we have,

given that,

3/5 divided by 2 1/2

To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators,

we have 6/25.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

What is the slope of any line parallel to the graph of y = 8x + 20?

Answers

Answer:y=mx+b

m=slope

Step-by-step explanation:

the slope is 8

The slope of line is 8.

Given that,

Graph is y = 8x + 20We need to find the slope of line.

According to the scenario, calculation of data are as follows,

Formula for slope of parallel line is as follows,

y = mx + b ( where m = slope)

So, by comparing both equations we get,

m = 8

or slope of line = 8

Learn more : https://brainly.com/question/14548945

The additive inverse of the complex number a+bi is -a-bi. The sum of a complex number and its additive inverse is zero.

Example: (5+4i)+(-5-4i)=0

What is the additive inverse of –2 + 8i?

2 + 8i

–2 – 8i

2 – 8i

–2 + 8i

Answers

I think it is 2-8i
Hope this helps

A complex number is said to be additive if  the sum of a complex number and its additive inverse is zero. The additive inverse of the complex number is 2+ 8i

What are additive inverses?

A complex number is said to be additive if  the sum of a complex number and its additive inverse is zero.

For instance the the additive inverse of the complex number a+bi is -a-bi.

Given the comlex number -2 + 8i, the additive inverse is expressed as:

Additive inverse = -(-2 - 8i)

Additive inverse = 2 + 8i

Hence the additive inverse of the complex number is 2+ 8i

Learn more on additive inverse here; https://brainly.com/question/3402614

#SPJ2

Ann and Ruth bowled together and had a combined score of 410 points. Ann's score was 44 points less than Ruth's score. Write a system of equations that can be used to determine x, Ann's score and y, Ruth's score.

Answers

Answer:

x=y-44 and x+y=410

Step-by-step explanation:

So, you want to use the equations x=y-44 and  x+y=410 when x is Ann's score and y is Ruth's score. This is because x (Ann's score) is Ruth's score (y) but 44 less, so you subtract y-44 to get x. Then x+y would also have to equal 410 so that's the other equation. Graphing the 2 equations gets you to the point  (183,227) in which Ann's score is 183 points and Ruth's score is 227 points.

You are choosing between two health clubs. Club A offers membership for a fee of $60 plus a monthly fee of $85. Club B offers membership for a fee of
$35 plus a monthly fee of $90. After how many months will the total cost at each health club be the same?
A.5
B.6
C.4
D. They will never be the same, Club B will always be a higher cost.

Answers

Answer:

The answer is D. But Club A will always be  a Higher price

Helppp! I’m stuck on this . What is the weekly profit ?

Answers

Answer:

$901

Step-by-step explanation:

x=37units

48 (37) - 875

1776-875

901

17. What is the value of 1 +-6-(-3.5)?

Answers

Answer:

-1.5

Step-by-step explanation:

negative times negative equals positive so:

1 +-6-(-3.5)

1 + -6 + 3.5

add

-5 + 3.5

-1.5

Answer:

1.5 please like! mark brainliest

Step-by-step explanation:

What is the equation of this line?
y= 4x
y= 1/4x
y = -4x
y=-1/4x​

Answers

Y=4/1x
Hope this helps

A car travels 198 miles in 3 hours. Assuming that the distance varies directly with the time, how far will the car travel in 5 hours

Answers

Answer:

330 miles

Step-by-step explanation:

198/3 = 66; this shows how fast the car is going per hour

66 * 5 = 330; this is how far the car goes in 5 hours

How many 3/4 pound packages can you make with 6.5 pounds of sunflower seeds?

Answers

Answer:

9 bags

Step-by-step explanation:

Weight each bag should be = 3/4 pound (0.75 pound)

Total weight of sunflower seeds available = 6.5 pounds

Number of packages made = 6.5/ 3/4

                                              = 8.66666666667

                                              = So 9 bags at the most

If you write 8, then  you wouldn't  be able to fit the other 0.5 pound and if you put 9, well you will have enough more space to put 6.5 pounds.

Hope this helps!!

Please mark brainliest !

What’s the square root of 36

Answers

Answer:

6

Step-by-step explanation:

sqrt(36) = 6

Answer:

1296

Step-by-step explanation:

36 x 36 = 1296

A side of the triangle below has been extended to form an exterior angle of 156°. Find
the value of x

Answers

Answer:

x=24

Step-by-step explanation:

again 180-156=24

super easy remember exterior +interior angles add up to 180

Brainliest please

First angle = 105

Second angle = x

Third angle = 156 - 105

= 51

_________________________________________

Three angles of the triangle:

[tex]105[/tex]

[tex]x[/tex]

[tex]51[/tex]

___________________________________________

Angle sum of triangle = 180°

[tex]105 + 51 + x = 180[/tex]

[tex]156 + x = 180[/tex]

[tex]x = 180 - 156[/tex]

[tex]x = 24[/tex]

Which of the following is the proper name for the figure below?
s
E
A. ADSK
B. ADKM
C. ADME
D. ADOM

Answers

Answer:

ADOM IS THE ANSWER OF THIS QUESTIONS

what are the coefficients of 4x -7 - 8x +17

Answers

The coefficients are the numbers next to a variable (which is X in this case). Therefore, the coefficients here are 4 and 8

PLEASE HELP ASAPPP!!!!?!!!?

Answers

Answer:

5. The minute hand is greater by 5 minutes.

4(3n-2)=what and explain by righting out. each step

Answers

Answer:

12n - 8

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Step-by-step explanation:

Step 1: Define Expression

4(3n - 2)

Step 2: Expand

Distribute 4:                    4(3n) - 4(2)Multiply:                          12n - 8

Answer:

4(3n-2)

=> 12n-8

=> 12n=8

=> n=8/12

=> n= 2/3

The area of a rectangle is 40 square inches. The
rectangle is 8 inches long. How wide is the rectangle?

Answers

5 inches because. If you know your times tables you will easily know that 5x8=40 or you could have divided 40 by 8 to get 5.

4/5 + 3/15 - 2/3= help me please

Answers

Your answer would be: 1/3

Happy holidays!! :)

Find the value of x?

Answers

Answer:

15.09

Step-by-step explanation:

By angle bisector property of a triangle, we have:

[tex] \frac{x}{17.1} = \frac{6}{6.8} \\ \\ x = \frac{17.1 \times 6}{6.8} \\ \\ x = \frac{102.6}{6.8} \\ \\ x = 15.0882353 \\ \\ x \approx15.09[/tex]

if ∠n and ∠p are supplementary angles, m∠N=(x+3)° and m∠P=(7x-15)° ,find m∠P.

Answers

Answer:

132 degrees

Step-by-step explanation:

x+ 3+7x-15=180

8x -12 =180

8x = 168

x=21

7(21) -15

147-15

132

Which slope is the steepest?
y = 10x
y = 0.3x
y = 5x
y = 0.7x

Answers

Answer:

y = 10x

Step-by-step explanation:

*Remember the equation of a line is y = mx + b

Attached are each of the options graphed. As m increases, the slope becomes steeper. The blue line, y = 10x is the steepest of them all.

Hope this helps!

FILL IN THE BLANKS: The solution to a system of equations is where two
lines
A system can be solved by graphing, substitution, or
If two lines are
there will be no solution. If the
two lines are the same, they will have solutions. *
.
O intersect...solving....intersecting...two
O intersect... elimination...parallel...infinite
O intersect...slope...parallel..infinite
O intersect...elimination...perpendicular...one

Answers

the answer should be the second option (intersect, elimination, parallel, infinite) hope this helps you
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