50 POINTS!!!
Write two linear functions, f(x) and g(x). For example, f(x) = 3x – 7 and g(x) = –2x + 5. Then see whether f(x) – (–g(x)) is equivalent to f(x)+ g(x). Hint: To find –g(x), just change the signs of all the terms in g(x). Discuss whether you think your results would apply to every function.

This can be any equation that would work for this, there is no specific answer.

Answers

Answer 1

9514 1404 393

Answer:

f(x) = xg(x) = -2x+1f(x) -(-g(x)) = -x+1f(x) +g(x) = -x+1f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

  f(x) = x

  g(x) = -2x+1

Then the reflected function -g(x) is ...

  -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

  f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

  f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.

Answer 2

Answer:

f(x) = x

g(x) = -2x+1

f(x) -(-g(x)) = -x+1

f(x) +g(x) = -x+1

f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

 f(x) = x

 g(x) = -2x+1

Then the reflected function -g(x) is ...

 -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

 f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

 f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.


Related Questions

Which equation is NOT written in slope-intercept form?

Y= -9x
2x-5=2y+14
Y=7x+3
Y=-3

Answers

Answer:

b

Step-by-step explanation:

:)

B.

Slope intercept form is y=mx+b and B is not written like this

I need to match each equation with the right answers and I need to show my work for each one

Answers

Don’t mind my hand writing

What is the difference between comprehensive and collision coverage in an auto policy​

Answers

Answer:

their both the same

Step-by-step explanation:

add and subtract divide multiply

Help me out I’m bad at this type of stuff

Answers

Answer:

the answer is 3 1/2 hours

Explanation: Just add all the fractions and numbers and subtract that by 9 1/4

Can you guys please help me again

Answers

Answer:

its D    1  7/8 also which is 1R7

Step-by-step explanation:

mark me as brainliest

The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease

Answers

Answer: 50%

Step-by-step explanation: math

DO NOT AWNSER IF YOU DON'T KNOW
WILL GIVE BRAINLIEST, LIKE, COMMENT, AND 10 POINTS
Could you please help me with this question and explain it thoroughly?

Answers

Step-by-step explanation:

the answer is 50 because 2x-=76 is k :)

Answer:

k (oats in cups) = 25 (grams of almonds)

Step-by-step explanation:

If you look at the coordinates given in the question (1,k) where we are told to find k.

A coordinate is a pair of one x and y value, an input and output in a relationship.

2d coordinates are in the form of (x,y), this means that (1,k) is representing what k will be when x is 1. So to find k, we must look at where y (the amount of almonds in this instance) is when x (the oats) is 1.

This graph looks to be y = 25x.

Where y is the oats in cups, and x is the grams of almonds. This is a proportion which means that there are 25 grams of almonds for every 1 cup of oats.

here is a list of numbers.
-45 -21 -16 12 33 40

Answers

Answer:

-45, -21, -16, 12, 33, 40

Step-by-step explanation:

Answer:

Question A)

-21+12  =answer= -21 and 12

Question B)

45-16=29 =answer= -45 and -16

Question C)

The total is 3.

Thanks.

I NEED HELP PLEASE!!!!!!!
1) How long is it from 9:15 am to 4:48 pm? h
2) Find the value of 4n if n=7
3) Solve the equation 3y=21
4) Change the index notation of a⁴ to its factors

Answers

1) 7 hours and 33 minutes
2) 28
3) y = 7
4) a times a times a times a

What is the reciprocal of -3 2/7

Answers

Answer:

7/23

Step-by-step explanation:

First you make it an improper fraction, which gets you 23/7. Then to find the reciprocal, you simply flip it over. Therefore you get 7/23.

There you go! Have a nice day. Mark brainliest if possible please ;)

help!!!! due now ( right answer's only)

Answers

Answer:

Minimum, Vertex(1,-7) and sorry what do you mean by aos? i dont get that please type in the comments I'll answer that too. Hope you understand the rest

Step-by-step explanation:

The vertex of a parabola means the stationary point/turning point which is denoted by the following:

[tex]x=\frac{-b}{2a} \\[/tex]

and for y we just simply put the value of x that we get into the equation so lets get started

The equation [tex]y=x^2-2x-6[/tex] is a quadratic equation

and if we compare it by the standard form [tex]y=ax^2+bx+c[/tex] we get the following values

a=1 , b=-2 , c=-6

and now for the vertex

[tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-(-2)}{2(1)} \\x=\frac{2}{2} \\x=1[/tex]

and now for y

[tex]y=x^2-2x-6\\y=(1)^2-2(1)-6\\y=1-2-6\\y=-7[/tex]

so the vertex is (1,-7)

and the graph is minimum not maximum because the value of a is greater than 0 if the value of a>0 then the graph is minimum and if the value of a<0 meaning a is negative the graph is maximum and here in the equation a=1 which means a>0 then our graph is minimum.

Answer:

hey we were talking in the comment section with someone else 16 min ago and that chat maxed out so he made another one and wants you to come back. Just letting you know.

Step-by-step explanation:

What does on the top number line represent?

Answers

Answer:

The top line is a pure gross sales number showing how much revenue the company brought in for a given period.

16% of 95 is what number? ( pls help im dumb lol )

Answers

Answer:

15.2

Step-by-step explanation:

Answer:

★ The answer would be 15.2

Step-by-step explanation:

We need to find

16 % of 95

Write it exactly as it is said.

16 % can be written as a fraction.

16/100×95=15.2

What is 17x - (217/19) please answer ASAP

Answers

Here is the answer. : -194.15

Working

sentence
A banquet hall charges $15 per person plus a $100 setup fee. The cost for x people is given by the
function
f(x) = 100 + 15x
Find F(1000)
What does F(1000) mean within the context of the problem?
(Hint start with your Independent x-value)
Independent Dependent
(X-Value) (Y-Value)
Numeric
Represents
P....
Sentence:
I

Answers

Answer:

Step-by-step explanation:

does 3x-4=2(x-3)+x have infinite solutions

Answers

No, the answer would be No solution

PLEASE HELP ASAP *TIMED TEST*

What is the slope of the line represented by the equation y = 4/5x - 3?
A: -3
B: -4/5
C: 4/5
D: 3 ​

Answers

The answer is C because in y=mx+b form, the “m” stands for the slope.

Please help look at the screenshot

Answers

Answer:

Step-by-step explanation: 40 newtons to the right

Answer: 40 Newton’s

Which equations are equal to A= 1/2bh?
Options: A. b= 2A/h
B. b= A/2h
C. h= (1/2) A/b
D. h= 2A/b

Answers

Option A is the correct answer.

A= 1/2 bh
Take 2 to the other side,
2A= bh
Now take h to the other side,
2A/h= b

evaluate the function for f(-3), f(x)=3x+5

Answers

Answer:

-4

Step-by-step explanation:

Since we know that -3 takes the place of x in f(x), we can sub in -3 for all x's in the equation.

Using this information, we now have F(-3)=3(-3)+5

Once you solve the right side of the equation, you get f(-3)=-4

if you were to plot this, the points would be (-3,-4), however I believe you're not trying to, so the answer would be -4.

can you figure out the missing number

Answers

Answer:

17

Step-by-step explanation:

purple triangle= 10

circle=5

square=4

pink triangle=2

Answer:

The missing number would be 17.

Step-by-step explanation:

1 equilateral triangle = 10

1 circle = 5

1 isosceles triangle = 2

When you add one of each of those together; 10+5+2, you get 17.

four times the difference of a number and 71
is 32

Answers

please mark brainlist

Step-by-step explanation:

let the number be x

4(x-71) = 32

4x - 284 = 32

4x = 316

x = 79

which number is a perfect cube 25 36 100 64

Answers

Answer:

The answer is 64

Step-by-step explanation:

A perfect cube is a number that is the cube of an integer. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..

Question 5
3 pts
In 1995, you bought a baseball card for $50 that you expect to increase in value 5% each
year for the next 10 years. Write an exponential growth equation
and
estimate the value of the baseball card in 2002

Answers

It would be worth 67.5 dollars
It’s gonna be 67.5 money dollars :)

Find the size of unknown angles

Answers

Answer:

ok in this diagram we have two triangles the first triangle all angles are unknown the second triangle we have the values of two angles so we will start with the second triangle and as you know angles in a triangle add up to 180° so we will take 35 degrees + 30 degrees and name the unknown angle x is equals to 180 degrees so it will be 65 degrees + x is equals to 180° put the like terms together x will be equal to 180 degrees - 65 degrees it becomes a minus because when a plus crosses the equal sign it becomes - so x is equals to 115° and as you can see in the diagram 115° is vertically opposite z then you can extend the lines so as to understand the diagram better when you extend the lines you find that 35 degrees is equal to angle v so it will be 115 degrees + 35 degrees + x is equals to 180 degrees so 150° + x is equals to 180 degrees put the like times together x is equals to 180 degrees minus 150° x is equals to 30 degrees

PLZ HELP DUE IN 20 MINS

The figure shows three quadrilaterals on a coordinate grid:
Which of the following statements is true about the three quadrilaterals? (4 points)

a
D and E are similar but not congruent.

b
E and F are similar and congruent.

c
D and E are similar and congruent.

d
F and D are similar but not congruent.

Answers

Answer:

B.

Step-by-step explanation:

It was just angled in a different way

I don’t get it . I need help please!

Answers

Answer:

You need to solve it like a rectangle

Scale 1cm = 30Yd

Formula = A=lxw

Length = 7x30=210yd

Height = 4x30=120yd

Answer 120x210= 25,200 sq. yd.

Right, make sense?

Answer:

25200 square yards

Step-by-step explanation:

Reminder: the area of a parallelogram is its length times its height. In that case, it would be 4cm*7cm.

But you have to remember that 1 cm represents 30 yards, so you have to multiply everything by 30 first, and then solve:

4*30 yards * 7*30 yards

= 120 yards * 210 yards

= 25200 square yards.

What should you add to this problem?
(2x^3 + 5x^2 + 9) / (x + 3)
A) 0x^4
B) 0x^2
C) 0x^3
D) 0x

Answers

I’m gonna guess and say B

Given the function f(x) = 7x + 2, find x when f(x) = 31.
0
Plz help

Answers

Answer:

x = [tex]\frac{29}{7}[/tex]

Step-by-step explanation:

Given f(x) = 7x + 2 and f(x) = 31 then equate the right sides

7x + 2 = 31 ( subtract 2 from both sides )

7x = 29 ( divide both sides by 7 )

x = [tex]\frac{29}{7}[/tex]

One of the angles formed by two intersecting lines measures 30°. What are the measures of the other three angles? i need help ASAP

Answers

Answer: The angles are 30 30, 150, 150

Step-by-step explanation: Two lines intersect means they cross. According to the vertical angle theorem, angles that are across are the same, a line is 180 degrees so it means the angles that make up the supplementary pair add up to 180(180-30=150). So there are 2 150 degree angles and 2 30 degree angles

Answer:

30, 150, 150

Step-by-step explanation:

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