Write a linear function f with the values f (3) = -1 and f (6) = 1.
A function is f (x) =

Answers

Answer 1

Answer:

132

Step-by-step explanation:

Answer 2

The linear equation for the function is f ( x ) = y = ( 2/3 ) x - 3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be f ( x ) = y

Now , the value of the function f ( 3 ) is given in the equation as

f ( 3 ) = -1

And the value of the function f ( 6 ) is given in the equation as

f ( 6 ) = 1

So ,

when x = 3 , y = -1

and when x = 6 , y = 1

Now , we have two points A ( x₁ , y₁ ) and B ( x₂ , y₂ )

A ( x₁ , y₁ ) = A ( 3 , -1 )

B ( x₂ , y₂ ) = B ( 6 , 1 )

Now ,

To find the slope of the equation , we use

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values , we get

Slope m = ( 1 - ( -1 ) ) / ( 6 - 3 )

              = 2 / 3

Now , the equation of line will be y - y₁ = m ( x - x₁ ) ,

So , substituting the value of m , we get

y - ( -1 ) = ( 2/3 ) ( x - 3 )

y + 1 = ( 2/3 )x - 2

Subtracting 1 on both sides , we get

y = ( 2/3 )x - 3

Therefore , the equation of line will be y = ( 2/3 )x - 3

Hence , The linear equation for the function is f ( x ) = y = ( 2/3 ) x - 3

To learn more about equation of line click :

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Related Questions

What is the radical form of 8½

Answers

Convert to radical form using the formula
a
x
n
=
n

a
x
a
x
n
=
a
x
n
.
Exact Form:

8

Heather invests $3572 in a retirement account with a fixed annual rate of 5% compounded 4 times per year what will the account balance be after 16 years

Answers

Answer:

$7910.3

Step-by-step explanation:

Given data

P=$3572

n=4

T=16 years

R= 5%

The compound interest is expressed as

A= P(1+r/n)^nt

Substitute

A=3572(1+0.05/4)^16*4

A=3572(1+0.0125)^64

A=3572(1.0125)^64

A=3572*2.21453241061

A=$7910.3

A person dove more than 100 feet below sea level.

Which value could represent the elevation, in feet, that the person dove?
A. -125
B. -50
C.60
D.150
please help i just have 10 minutes left
dont troll

Answers

Answer:

-125

Step-by-step explanation:

sea level is zero so cant be above that and the answer has to be below -100 and the only option is -125

Answer:

A -125

Step-by-step explanation:

because they went over 100ft below sea level

and if sea level is exactly 0 and they went under it over 100 the only option over 100 with a negative sign to show they went below sea level would be -125

The radius of a circle is 14.2ft. Find the circumference to the nearest tenth

Answers

Answer:

89.1

Step-by-step explanation:

Tell whether each equation has no solution, one solution, or infinitely many solutions.
3x-12=3x+1

Answers

There are no solutions to the equation.
Subtracting 3x from both sides gets you -12 = 1 which is never true therefore for any value of x you choose the equations will never equal each other

This block of ice needs to be wrapped in a special reflective material to keep it from melting before the ice carving competition begins. How much reflective material is needed to cover the block completely, with any overlaps?




Question 5 options:

3.1 m2

1.144 m2

3.67 m2

6.7 m2

Answers

The answer is D........

f(x) = -x² + x + 14
Find f (2)

Answers

Answer:

Step-by-step explanation:

f(2) = -2^2 + 2 + 14 = -4 + 2 + 14 = 12

Answer:

f(2) = 20

Step-by-step explanation:

f(x) = -x^2 + x + 14

f(2) = (2)^2 + (2) + 14

f(2) = 4 + 2 + 14

f(2) = 20

QRST is a parallelogram. Find x, y, and z.

Answers

Answer:

x=5.4

y= 9

z= 11

Step-by-step explanation:

5x= 27

x= 5.4

2y-5=y+4

y=9

3z = 33

z =11

I need help with a math question. could you help me?

Answers

Answer: yrs

Step-by-step explanation: yes

Answer:

No, they aren't equal

Step-by-step explanation:

5x & 5+x

let's say x=1

5(1)=5

but 5+(1)=6

Therefore they aren't equal

The question is attached.​

Answers

Answer:

-3, uh its a short answer

I got -3
If u need the work lmk

A number 1 is no less than -3.

Answers

Answer:

no

Step-by-step explanation:

because 1 can equal anything

Answer:

1 equals everything

Name the constant in the expression:
3x + 5
please explain how I can solve problems like this

Answers

The constant is 5 because it is not being effected by the variable it is just a 5

Enter a number.
The measure of angle 7 is ___°

Answers

Answer:

151 ig

Step-by-step explanation:

vertical angles are equall

Answer:

151

Step-by-step explanation:

an urn contains 10 blue marbles and 8 yellow marbles a marble is drawn and dropped back into the urn. Then a second marble is drawn and dropped back into the urn both marbles are yellow if another marble is drawn. what is the probability that it will be blue

Answers

Answer:

80/729

Step-by-step explanation:

8/18x8/18x10/18=640/5832

80/729

Please help! image is below

Explanation = brainliest

Answers

Answer:

x=67.5ft

Step-by-step explanation:

similarity and congruence

the length of one side of the bigger triangle divided by the length of the similar side of the smaller triangle

equate the unknown ratio with a known ratio

71.5/49.5=97.5/x

x=(97.5 x 49.5)/71.5

x=67.5 ft

in anime testers it says "what is sasuke's most used jutsu" WHAT IS IY THERE ARE SO MANYYYYY

Answers

Answer:

chidori or fire ball jutsu

Step-by-step explanation:

Answer:

nice i like naruto

Step-by-step explanation:

3 fracciones propias en solo una recta

3 fracciones impropias en solo una recta​

Answers

Answer:

hola

Step-by-step explanation:

Answer:

una nana de mañana x la mañana

Which integer represents this situation?

A skydiver jumped out of a plane at an elevation of 1,600 feet.

0
1,600
-1,600

Answers

Answer: 1600 feet the second answer

hope this helped! :)

Answer:1600

Step-by-step explanation:

At Summer camp, 62 percent of the campers decide they want to go swimming instead of hiking. If there are 200 kids at the camp, how many go swimming?

Answers

Answer:

124

Step-by-step explanation:

I’m being timed , I need help

Answers

Answer:

Step-by-step explanation:

Uh

Answer:

Time: 1, 16, 30, 40

Distance: 5/8, 10, 18 3/4, 25

Step-by-step explanation:

hope this helped

NEED HELP PLSSSSSS HELP MEEE

Answers

Answer:

Step-by-step explanation:

0 quarter = 20 dimes

dime to quarter = divide by 20

quarter to dime= multiply by 20

4 quarters = ? dimes

4 x 20 = 80 dimes

0 dimes = ? quarters

0/20 = 0 quarters

5 dimes = ? quarters

5/20 = 0.25 quarters

Answer: SORRY I WISH I CAN HELP YOU BUT PLZ DON´T GET MAD PLZ

Step-by-step explanation:

BUT I DID FIGURE THE FIRST ANSWER IS 13

56 to 56 as a Fraction in simplest form

Answers

Answer:Find the GCD (or HCF) of numerator and denominator

GCD of 56 and 100 is 4

Divide both the numerator and denominator by the GCD

56 ÷ 4

100 ÷ 4

Reduced fraction:

14

25

Therefore, 56/100 simplified to lowest terms is 14/25

Step-by-step explanation:

hope this helps have a great day

What is the answer????please helpp

Answers

that answer is (0,0)

Explain why parallel lines have different y intercepts

Answers

Answer:

The lines are parallel. The slopes of the lines are the same and they have different y-intercepts, so they are not the same line and they are parallel. Two non-vertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other.

Step-by-step explanation:

Answer:

Because Y- intercept mean the part that a graph cuts at Y - axis

Step-by-step explanation:

If parallel lines cut at the same pint then they will not be parallel

Robert wants to try some new chocolate chip cookie recipes. His current recipe calls for three and a half cups of flour for every bag of chocolate chips. He wants to determine which recipes require more or less flour than his current recipe. Sort the items into the diagram below.

Answers

Please attach the diagram with your question

Which expression is equivalent to -4x - 36?

A. 4(x - 9)

B. 2(2x - 18)

C. -2(2x - 18)

D. -4(x + 9)

Answers

D. -4(x+9)

For this you distribute the number outside the parentheses to both numbers inside.

A. 4(x-9)=

4x-36

B. 2(2x-18)=

4x-36

C. -2(2x-18)=

-4x+36

D. -4(x+9)=

-4x-36

Therefore, D is the answer

Solve by the substitution method.
3x + 3y= -9
- 3x + y = 17

Answers

3x + 3(3x + 17) = -9
3x + 9x + 51 = -9
12x + 51 = -9
12x = -60
x = -5

Answer:

3x + 3y -17 =0

Explanation: im not to good at thus so thats the best i can do if thats the solution you needed

4) easy- solve for x

Answers

Answer: - 8

Step-by-step explanation:

x/4 - 5 = -7

=> x/4 = -2

=> x = -8

Answer:

x=−8

Step-by-step explanation:

Add 5 to both sides

x/4-5+5=-7+5

x/4=-2

4x/4=4(-2)

x=-8

whoever answers correctly gets brainliest

Answers

Answer: Choice 4

Step-by-step explanation:

6 was not multiplied by 3 because that would make it

un equivalent, opposite of what she's trying to do

If you could live anywhere, where would it be?
What is your biggest fear?

Answers

Answer:

A forest and a Lion and a bear

Step-by-step explanation:

Answer:

a tropical island

Step-by-step explanation:

cuz their is farm equipment know as a

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