Why is f called a linear function?

Answers

Answer 1

For a given function f, it is linear if the function has a constant slope and it doesnot contain the power of x greater than 1.

What is a function?

An association between each element of a non-empty set A and at least one element of a different non-empty set B is called a function. The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.

What does a linear function represent?

A function which is also linear, represents a straight line in the graph. The graphs to the linear functions are straight lines which have constant slope throughout the graph.

A function f is referred to as linear if it meets both of the following criteria:

The slope of the function is constant. This indicates that the slope of the line is constant, independent of the value of x that you enter into the function.

There are no powers of x bigger than 1 in the function. This indicates that there are no terms in the function that have x2, x3, etc.

To learn more about functions visit:

https://brainly.com/question/25638609

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Related Questions

QUESTION 9 of 10: Last year your store earned $200,000. The latest trend report states that fashion industry sales will increase by 15%
annually for the next 2 years. What is your predicted sales in 2 years?

230,000
264,500
310,000
330,000

Answers

200000 * 1.15 * 1.15 = 264500

Find the area of this figure. Please explain how you got the answer.

Answers

it doesnt have the formula without formula u cant find the area

Anthony has 400 marbles. He sells 1/4 of the marbles to Jayveon, he gives 10% to Abdul and donates 10 marbles to his little brother's collection. Explain in writing (typing) how to find the number of marbles each person received then explain how to find the number of marbles Anthony has left. (Remember to write 5 or more complete sentences.)

help me please

Answers

Answer: See explanation

Step-by-step explanation:

Number of marbles = 400

Anthony sells 1/4 of the marbles to Jayveon. This will be:

= 1/4 × 400

= 100 marbles

Anthony gives 10% to Abdul. Abdul will have:

= 10% × 400

= 0.1 × 400

= 40 marbles

He gave 10 marbles to his little brother.

The number of marbles that Anthony has left will be:

= 400 - (100 + 40 + 10)

= 400 - 150

= 250 marbles

What is the value of the y-intercept of the graph f(x)=17⋅3.2^x ?

Answers

Answer:

f(0)=17

y-intercept=17

Step-by-step explanation:

Answer:

(0, 17) is the correct answer

Step-by-step explanation:

Ann has £10 to buy notebooks at 85p each. What change should she get if she buys as many as possible?​

Answers

Answer:

jdhfbdsbsjrnmf

Step-by-step explanation:

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

256 miles

Step-by-step explanation:

The Pythagoras theorem is a² = b² + c² where a is the hypotenuse or longest side

To find the shorter side, the equation is rearranged so c² = a² - b² (whether it is b or c doesn't matter)

so √377² - 277² = 255.7342371

Answer to number 22

Answer: 256 miles

Evaluate the following: 18 + 3 |6 - 25| - 11
i neeed a step by step explaniation marking brainliest

Answers

Answer:

29 (Unless I'm mistaken)

Step-by-step explanation:

18+3|6-25|-11

21+19-11

29

At a frozen yogurt shop, you
pay $1.50 for the cup and
$0.50 per ounce. If the total
cost of a cup of yogurt is
$4.00, how many ounces of
yogurt did you buy?

Answers

Your answer would be five ounces

Pick a number 1-10, number closest to the one i picked gets brainliest

Answers

I will pick 10. So also these r just for the characters so I can post it

Answer:

5

Step-by-step explanation:

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

B. (2, 1)

Step-by-step explanation:

The coordinate of C is the point at which point A and B meet after being extended

A chicken and rice call for 3 ½ pounds of chicken. Lisa wants to adjust the recipe so that it yields 1 ½ times as much chicken and rice. How much chicken will she need?

Answers

Answer:

5 1/4 or 5.25

Step-by-step explanation:

7/2×3/2=21/4

21/4=5 1/4

hope this helps

A geometric sequence has an initial value of −8 and a common ratio of 1.5. Select all the function(s) or formula(s) that could represent the situation.
A. f(n) = 1.5(−8)n−1
B. f(n) = −8(1.5)n−1
C. f(n) = 1.5(8)n−1
D. an = −8(an−1); a1 = 1.5
E. an = 1.5(an−1); a1 = −8

Answers

Answer:

A and c

Step-by-step explanation:

I took the test

Van a poner balfosas en una calle que mide 3 hm y 9 dam de largo. Ya han embaldosado 125 m de calle ¿A cuantos metros les falta poner baldosas

Answers

Answer:

Faltan 265 metros por embaldosar.

Step-by-step explanation:

Un decámetro equivale a 10 metros, mientras que un hectómetro equivale a 100 metros. A continuación, calculamos la longitud equivalente de calle en metros:

[tex]x = 3\,hm \times \left(\frac{100\,m}{1\,hm} \right)+9\,dam\times \left(\frac{10\,m}{1\,dam} \right)[/tex]

[tex]x = 390\,m[/tex]

La longitud pendiente por poner baldosas es la longitud total menos la longitud ya embaldosada, es decir:

[tex]y = 390\,m-125\,m[/tex]

[tex]y = 265\,m[/tex]

Faltan 265 metros por embaldosar.

What is the slope of the line?

Answers

Answer:

2/1

Step-by-step explanation:

Slope can be found by using rise/run

in other words count the number of spots rising up then move to either left or right (up and to the right in this case)

yes the slope could be -2/1 from a reflective point. Rise/Run pov or positive pov it's 2/1

Answer:

the slope is 2

Step-by-step explanation:

it crosses the point (-2, -4), which from there to the next crossing coordinate (-1, -2), it goes up +2 units on the y-axis and goes to the right on the x-axis +1 units

HELP ILL GIVE BRAINLIEST


Select all equivalent
equations for the translation of "four times the sum of
a variable and nine equals eighteen".
4+ (x + 9) = 18
4(x)(9) = 18
4(x + 9) = 18
4x + 4(9) = 18
4x + 9 = 18

Answers

Answer:

No - 4+ (x + 9) = 18  

No - 4(x)(9) = 18

Yes - 4(x + 9) = 18

Yes - 4x + 4(9) = 18

No - 4x + 9 = 18

can someone help to find the missing angle measurements

Answers

Answer:

Angle 1 = 75°

Angle 2 = 55°

Angle 3 = 55°

Angle 4 = 40°

Angle 5 = 140°

Angle 6 = 40°

Angle 7 = 75°

Angle 8 = 65°

Angle 9 = 115°

Step-by-step explanation:

1) We start with angle 2

Angle 2

Angles on a straight line = 180°

Hence,

b + 125° = 180°

b = 180° - 125°

b = 55°

Angle 2 = 55°

2)Angle 1

The sum of angles in a triangle = 180°

Hence

Let Angle 1 = a

50° + 55° + a = 180°

a = 180° - (50° + 55°)

a = 180° - 105°

a = 75°

3)Angle 3

Angle 2 and Angle 3 are vertical angles

So we use the Vertical angle theorem

This means

Angle 2 = Angle 3

Angle 2 = 55°

Hence, Angle 3 = 55°

4) Angle 4

Sum of Angles in a triangle = 180°

Let Angle 4 = d

Hence:

85° + Angle 3 + d = 180°

85° + 55° + d = 180°

d= 180° - (85° + 55°)

d = 180°- 140°

d = 40°

5)Angle 5

Angle 4 and Angle 5 are angles on a straight line

Sum of angles on a straight line = 180°

Angle 4 = 40°

Let Angle 5 = e

Hence:

40° + e = 180°

Collect like terms

e = 180° - 40°

e = 140°

6) Angle 6

Angle 4 and Angle 6 are vertical angles

Using Vertical angle theorem,

Angle 4 = Angle 6

Angle 4 = 40°

Hence, Angle 6 = 40°

7)Angle 9

Solving for Angle 9,

Sum of angles on a straight line = 180°

Angle 9 = i

i + 65° = 180°

i = 180° - 65°

i = 115°

8) Angle 8

= Angle 9 and Angle 8 are angles in a straight line

= Angle 8 = h

h + 115° = 180°

h = 180° - 115°

h = 65°

9)Angle 7

Sum of angles in a triangle = 180°

Angle 7 = g

g = 180° - (65° + Angle 6)

= 180° - (65 + 40

= 180° - 105°

= 75°

hi, pls help!! will give branliest.

Answers

(H) is (1,4)

(I) is (-4,2)

(J) is (2,-3)

5 1/2 + 1 3/8









PLEASE HELP MEEEEEEEE

Answers

Answer:

6.875

Step-by-step explanation:

Answer:

6.875 hope this helps!

solve these asap please

Answers

use the app called connects works everytime

Answer:

3) x = −11

4) x = 40/11 or 3.636363... (it keeps going)

5)

Step-by-step explanation:

3) 5x/6 − ( 2x − 1/2 ) + 4 − 2x/3 = 11

Step 1: Simplify both sides of the equation.

5x/6 − ( 2x−1/2 ) + 4 − 2x/3 = 11

5x/6 + − x + 1/2 + − 2/3x + 4/3 = 11  ( Distribute )

5/6x + − x + 1/2 + − 2/3x + 4/3 = 11

( 5/6x + − x + − 2/3x ) + ( 1/2 + 4/3 ) = 11  ( Combine Like Terms )

−5/6x + 11/6 = 11

Step 2: Subtract 11/6 from both sides.

−5/6x + 11/6 − 11/6 = 11 − 11/6

−5/6x = 55/6

Step 3: Multiply both sides by 6/(-5).

( 6/−5 ) * ( −5/6x ) = ( 6/−5 ) * ( 55/6 )

x = −11

4) 10 - 2x = 3/4x

x = 40/11

(going to also be long I so wont put my work here)

5) -3( x - 3 ) - 9x - 9 = 4( x + 2 ) - 12

x = 1/4

(again, is long so wont put work)

Which is an equation in point-slope form for the given point and slope? Point: (1.9); Slope: 5

A: y-1=5(x+9)
B: y-9=5(x+1)
C: y-9=5(x-1)
D: y+9=5(x-1)​

Answers

answer is D

from y-y'=m(x-x') ,where m is slope and x' and y' are our points then ;

given are;

m=5, x' =1 and y' =9

By substituting our given

y-9=5(x-1)

pleaseeee explain !!!

Answers

A is the answer because if we want the unit rate we do

2/3÷2/3 and 15 1/5, we can turn 15 1/5 into a improper fraction first so 76/5 and we do 76/5 ÷2/3 which is equal to

76/5×3/2=114/5

114/5 simplifies into 24 4/5.

so Naomi can travel 24 4/5 gal per mile.

Hope this helps!

Plz help me! I suck at math!

Answers

Answer:

(-2,4)

Step-by-step explanation:

Since this is a downward facing parabola, the vertex is the maximum

The maximum is at (-2,4)

Whoever helps me will be lucky for the rest of your life

Answers

Answer:

A) 3.5

16 shovels full

Step-by-step explanation:

9x + 13 = 17x - 15

8x = 28

x = 3.5

20 + 5x = 32 + 4.25x

0.75x = 12

x = 16

What is the radius of this sphere?

Answers

Answer:

Is there a type of equation your looking for or do you want the straight up answer?

Step-by-step explanation:

The answer is 5ft. A radius is half of a circle so therefor your radius is 5ft.

PLEASE HELP I WOLL MARK BRAINLIEST

Answers

Answer:

20 songs.

Step-by-step explanation:

PEMDAS OR PEDMAS order of operations.

Answer:

F - 20 songs

Step-by-step explanation:

Sandra has $120. Each gift card costs $12.

$120 ÷ $12 = 10. So, Sandra buys 10 gift cards.

Each gift card can be used to download 10 songs. So, 10 gift cards can be used to download 10 × 10 = 100 songs.

There are 5 children. Each child can download 100 ÷ 5 = 20 songs.

Alina has to spend $30 000 on expenses each year. If that amount of money is 40% of her total yearly earnings, then how much money does Alina make per year?

Answers

Answer:

$75000

Step-by-step explanation:

Given data

Let her yearly earnings be x

so

40% of x= $30000

40/100*x=30000

0.4x=30000

x=30000/0.4

=$75000

Hence the total amount made per years is

$75000

A cube has a surface area of 6. What's the volume?

a 1

b 1/6

c 6

d 3/2

Answers

Answer:

Well all sides of a cube are congurent or equal and since the surface area is 6. We can develop a formula to find the missing variables.

Well since the surface area of a cube can be found by using 6a^2 where a is the side lengths.

So since 6a^2=6

Solve

a^2=1

a=1

SO each side is equivalent to 1

Now to find the volume just do LWH and you should get 1 as your answer or in this case (A)

Answer:

V = 1

Step-by-step explanation:

A=6a2

V=a3

Solving for V

V=6A3/2

36=6·63/2

36÷6 = 1

V = 1

Can someone please help me?!?!​

Answers

Answer:

0, -12

Step-by-step explanation:

0,-12 is the answer dkfnfnsjdnajjdbdjdjs

Jane has twice as many books as Katie. If Jane gives 14 books to Katie, they will have the same number of books. How many books do they have all together

Answers

Answer:

28

Step-by-step explanation:

dats the answer beacause 14×2 is 28

Answer:The function ()

b

(

w

)

gives the number of books read by Katy after a number of weeks, .

w

.

The meaning for each equation below can be written in words.

For each equation, drag the statement that has the same meaning as that equation into the spot next to it.

CLEAR  CHECK

To find

f

, multiply the number

of books Katy has read by 3

3

.

After 10

10

weeks, Katy will

have read 2

2

books.

In 12

12

weeks, Katy will have

read

w

books.

The number of books Katy will

have read after 3

3

weeks is

f

.

The number of books Katy will

have read in 2

2

weeks is 10

10

.

Step-by-step explanation:

Use a factor tree or similar method to write 4400 as a product of
prime factors. Display your factor tree in your answer. If you
choose to use an alternative method, clearly show your working:
just writing down the answer is not sufficient.

Answers

Answer:

4,400 = 44 * 100

44 = 2 * 2 * 11

100 = 2 * 2 * 5 * 5

prime factors = 2 * 2 * 2 *2 * 5 * 5 * 11

Step-by-step explanation:

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