Which of the following is a linear function?

Which Of The Following Is A Linear Function?

Answers

Answer 1

Answer:

[tex]\dfrac13x=y-3[/tex]

Step-by-step explanation:

A linear function is the form:  [tex]f(x)=mx+b[/tex]

A quadratic function is any polynomial function where the highest exponent is 2.

A cubic function is any polynomial function where the highest exponent is 3.

A reciprocal function is in the form:  [tex]f(x)=\dfrac{a}{bx}[/tex]

[tex]\dfrac13x=y-3[/tex]

[tex]\implies y= \dfrac13x+3[/tex]

Therefore, this is a linear function

Cubic function:    [tex]y=x^3+2[/tex]

Quadratic function:   [tex]y=6x^2[/tex]

Reciprocal function:   [tex]y=\dfrac{2}{3x}[/tex]


Related Questions

A cylinder has radius 2.5 meters. its volume is 50pi meters. Find its height.

Answers

Answer :

8 meters .

Explanation :

The volume of the cylinder is 50π cubic meters.The cylinder has radius 2.5 meters.

To Find :

The height of the cylinder.

Solution :

We know,

[tex]{ \longrightarrow\qquad \bf\pi {r}^{2}h = \bf{Volume_{(cylinder) } }}[/tex]

Where,

r is the radius of the cylinder.

h is the height of the cylinder.

Now, Substituting the values :

[tex]{ \longrightarrow\qquad \sf\pi \times {(2.5)}^{2} \times h = {50 \pi } }[/tex]

[tex]{ \longrightarrow\qquad \sf\pi \times 6.25 \times h = {50 \pi } }[/tex]

Cancelling π from both sides :

[tex]{ \longrightarrow\qquad \sf \cancel\pi \times 6.25 \times h = {50 \: \cancel \pi } }[/tex]

[tex]{ \longrightarrow\qquad \sf 6.25 \times h = {50 } }[/tex]

[tex]{ \longrightarrow\qquad \sf h = { \dfrac{50}{6.25} } }[/tex]

[tex]{ \longrightarrow\qquad {\pmb {\bf{h = {8 } }}}}[/tex]

Therefore,

The height of the cylinder is 8 meters .

To raise money for a class trip, students sold bags of mixed nuts and bags of dried fruit. Evan sold 12 bags of mixed nuts and 10 bags of dried fruit and collected $54. Brett sold 8 bags of mixed nuts and 15 bags of dried fruit and collected $61. How much did they charge for each type of bag?

Answers

12 bags of mixed nuts for R2 each and 10 bags of dried fruit for R3 each

If suzannah's budget limit is 0.10 per month, how many text messages can she send per month

Answers

Answer:

How much is her phone bill? There is not enough information for me to solve this. Not even answer choices.

John 450 words in half an hour. How many words would he type in 7 minutes?

Answers

Answer:

that is the correct answer

Use the graph that shows the solution to f(x)=g(x).

f(x)=−(x+2)(x−2)

g(x)=2|x+2|



What is the solution to f(x)=g(x)?

Select each correct answer.




−2

0

2

4

Answers

Answer:

  -2, 0

Step-by-step explanation:

The solution(s) to f(x) = g(x) are the x-coordinates of the points where the graphs intersect. The points of intersection of these graphs are ...

  (-2, 0) and (0, 4)

The x-coordinates of these points are -2 and 0.

The solutions to f(x) = g(x) are x=-2 and x=0.

Answer:

The answer is -2 and 0

Step-by-step explanation:

it was confirmed to be correct

i do not know this answer

Answers

Answer:

try (-4,6)

Step-by-step explanation:

if you use tracing paper, put a mark where the point is

put the tip of the pencil on the point which it will rotate around

spin the paper by the degrees

see where the traced point ends up

X^2+16x+_=(x+_)^2 what are the missing digits?

Answers

Answer:

x^2+16x+64=(x+8)^2

Step-by-step explanation:

For the first spot you find the perfect square of the equation

This is found by doing (1/2 16)^2

1/2 16 = 8

8^2 = 64

The second spot is factoring, where you would put half of 16 or the square root of 64

1/2 16 = 8

root 64 = 8

Need help on this question ASAP pleasee

Answers

Answer:

c

Step-by-step explanation:

vertical translation down two units

What is the midpoint of CD?
5
4
3
2+
O
1
ㅇ [1]
( )
54 -3 -2 -11
X
1 2 3 4 5
D(4-1)
-2
C(-3,4)

Answers

Answer:

See below.  (0.5,1.5)

Step-by-step explanation:

I can't make out most of the question.  What is:

5

4

3

2+

O

1

ㅇ [1]

( )

54 -3 -2 -11

X

1 2 3 4 5

?????

=====

I do see D(4-1) and C(-3,4).  The question asks what is the midpoint.  That would be point M, with a coordinate of (0.5,1.5), which is derived from the average of the two points:  x: (4-3)/2 = 0.5; y: (-1+4)/2) = 1.5

See the attached image for how the points relate to each other.  I derived an equation for the point to illustrate where the midpoint, M, is situated.

=============================

Slope = Rise/Run

Rise:   (-1 - 4) = -5

Run:    (4 - (-3)) =  7

Slope = -(5/7)

Equation for the line is y = -(5/7)x + 1.9

What is the value of x?
x
21.5
13.1
Round your final answer to the nearest tenth.
Use the Pythagorean theorem

Answers

Answer

x=37.8

Step-by-step explanation:

According to Pythagoras theorem

AB = 21.5

BC = 13.1

AC = ?

AC²= AB²+BC²

x² =(21.5)²+(13.1)²

x² =462.25+967.21

x² =1429.46

x =√1429.46

x =37.8

Line 1 passes through points ( 4 , − 4 ) and ( 8 , − 3 ) while line 2 passes through points ( 1 , − 6 ) and ( − 1 , 2 ). Determine whether the lines are parallel, perpendicular, or neither.

Answers

[tex]\stackrel{\textit{\Large line 1}}{(\stackrel{x_1}{4}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{4}}}\implies \cfrac{-3+4}{4}\implies \boxed{\cfrac{1}{4}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{\Large line 2}}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})} \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{1}}}\implies \cfrac{2+6}{-2}\implies \cfrac{8}{-2}\implies \boxed{-4}[/tex]

keeping in mind that parallel lines have exactly the same slope, let's check for the slopes hmmm nope, they're not equal, so the lines are not parallel.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slopes hmmm

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{1}\implies -4}}[/tex]

low and behold, Line 2 has a slope that is negative reciprocal to the slope of Line 1, thus, they're indeed perpendicular.

or Jake is admiring a statue in Cedarburg Park from 8 meters away. If the distance between the top of the statue to Jake's head is 10 meters, how much taller is the statue than Jake?

Answers

Answer:

Step-by-step explanation:
Jake
is 5 feet tall. The distance from the flagpole to Jake is 28 feet and the distance between the tip of the shadows and jake is 7 feet.

Help me I need this withing 3 hours

Answers

Answer:

a. min: 6 1/2 max: 13 median: 8 1/50 range: 6 1/2 mode: 8

b. min: 8 1/2 max: 11 1/2 median: 9 7/10 range: 3 mode: 9 1/4

Step-by-step explanation:

in simple terms, how do u factor a polynomial by distribution? for example " 36a^2 + 24a?​

Answers

Answer:

6a (6a + 4)

Step-by-step explanation:

What is the highest number that goes both into 36 and 24? That is 6. What else do they have in common? The letter a

So 6a(6a + 4)

HELP Please
I really need the answer​

Answers

Step-by-step explanation:

a full circle has 360°.

so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.

labour = 360 - 136 - 34 - 54 - 14 = 122°

the fraction 122/360 represents the 183 votes for labour.

122/360 = 183

the fraction 1/1 = 1 then represents the total number of votes in the whole system.

61/180 = 183

1/180 = 3

1 = 3×180 = 540

540 pupils voted altogether.

Mrs. Johnson wants to know which type of cake she should make for the middle school dance. She will conduct a survey asking certain students which kind of cake they prefer. Which method would provide the most accurate results

Answers

Answer:

Asking four boys and four girls from each first period class which type of cake they prefer.

Step-by-step explanation:

cant really explain it just knew it off the top of my head.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Roses: 6

Daisies: 15 - 6

= 9

The ratio of all flowers to all rose flowers.

15:9

The ratio of roses to daisies.

6:9

2:3 (simplified)

What is the average rate of change from -1 to 3?

Answers

It is adding 1. -1 +1=0 0+1=1 1+1=2 2+1=3

Answer:

-15

Step-by-step explanation:

(y2 - y1)/( x2 - x1) = (4-64)/(3+1) = -60/4 = -15

Factor completely

x²-9 ​

Answers

Answer:

(x + 3)(x - 3)

Step-by-step explanation:

Use difference of squares property:

(x + 3)(x - 3)

The Smiths bought an apartment for $65,000. Assuming the value will appreciate at most 3% a year, how much will the apartment be in 4 years?

Answers

Answer:

$73158.07

Step-by-step explanation:

The way to get this is realize that appreciate by 3% means that the value will go up 3% each year. in order to do this we must multiply 65000 by 1.03 4 times. 65000 times 1.03 times 1.03 times 1.03 times 1.03 = 73158.07.

please mark me as brainlyest

Answer: $73,157.50

Step-by-step explanation:

Given: bought price of apartment(p) = $75000, rate of appreciation(r) = 4.3% and time(t) = 7 years

We know the compound interest/appreciation formula is:

S=p(1+r/100)^t

[tex]\begin{aligned}S &=\$ 65000\left(1+\frac{3}{100}\right)^{4} \\&=\$ 65000\left(\frac{100+3}{100}\right)^{4} \\&=\$ 65000\left(\frac{103}{100}\right)^{4} \\&=\$ 65000\times 1.1255 \\&=\$ 73,157.50\end{aligned}[/tex]

Therefore, the apartment will be worth about $73,157.50 in 4 years

3. Maria signed up for a lawn service. She was
charged an initial fee of $75 plus $18 for every
application. How many applications did she
get with $525?

Answers

Step-by-step explanation:

525 - 75 = 450

18 for ever one

equals to 450

18x = 450

450÷18 = x

450 ÷ 18 is

comment and i will check

please put brainest

GIVING BRAINLIEST 100 points

Answers

Answer:

A) 4n+30=95

B) 95-30=65 4n=65 65/4=16.25 or 17 weeks to save a little more than $95

C) the least number of weeks would be 17 since it says a whole week

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

Answer:

i dont know

Step-by-step explanation:

Write an algebraic expression that is the product of two factors. One of which should be a sum

Answers

Answer:

2x + 9

Step-by-step explanation:

because you need a variable in it to make it an algebraic

If 1 measures 135°, what is the measure of 6? (Lines b and c are parallel.)
65°
45°
135°
90°

Answers

Answer:

45 degrees

Step-by-step explanation:

135+135=270

360-270=90

90/2=45

your answer is 45 degrees

Answer:

Step-by-step explanation:

Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.

Corresponding angles: When two parallel lines are intersected by the transversal, the angles formed on the matching corners of the same side of the transversal are called corresponding angles.

∠1 + ∠2 = 180°   {Linear pair}

135 + ∠2 = 180

        ∠2 = 180 - 135

∠2 = 45°

∠6 = ∠2   {Corresponding angles}

∠6 = 45°

When a photographer can't change a scene, she changes her angle and lens to capture the best of that scene. Similarly, when you can't change your situation in your life, change your perspective and mindset to get the best out of that situation.
Answer the question below:
What does the quotation above tell us?

Answers

Answer:

idrk the answer but now I know


Solve for x round to nearest tenth of a degree

Answers

To find the measure of angle NLM which is x, we must use trigonometry.

In this case we use the sine function:

    [tex]sin(x) =[/tex] (side opposite angle NLM) / (hypotenuse)

    [tex]sin(x) = \frac{4.9}{7.5} \\x = sin^{-1}(\frac{4.9}{7.5})\\x= 40.8 degrees[/tex]

Hope that helps!

Which shows the products ordered from least to greatest?
57
x 564
57
101
X 564
102
29
x 564
27
101
x 564
102
57
x 564
57
29
x 564
27
101
x 564
102
29
x 564
27
57
x 564
57
29
x 564
27
57
x 564
57
101
x 564
102

Answers

Answer:

101 divide by 102 multiply by 564

NEED HELP ASAP EASY 10 to 20 POINTS

Answers

Given :

Find the gcf of the first two terms and the GCF of the last two terms for the polynomial.

[tex] \qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} + 3p + 6[/tex]

Solution :

The first two terms of the polynomials are :

[tex]\qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} [/tex]

[tex]\qquad \longrightarrow \sf \: 5p {}^{2} (p + 2)[/tex]

Therefore,

Their Greatest common factor is 5p² .

The last two terms of the polynomials are :

[tex]\qquad \longrightarrow \sf \: 3p + 6[/tex]

[tex]\qquad \longrightarrow \sf \: 3(p + 2)[/tex]

Therefore,

Their Greatest common factor is 3 .

Can someone answer these questions?? Thank you!!!

Answers

9. -6xy+2xz
10. b(a-c-3d)
11. -3xy+xz-4xw
also i think that 8 is supposed to be a(10-13)

factorise and divide
3^ 2 (2 ^2 − 14 + 24) ÷ 6 (x − 4)
who willbdo this will be branliestband i will follow ​

Answers

9( 4-14+24) divide 6x-24 equal 9(34) divide 6x-24 equal 306 divide 6x-24 divide all by 6 so the result is equal 51 = x - 4 so x = 55
Other Questions
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