Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4​

Answers

Answer 1

Answer: y = 3x + 3

Step-by-step explanation:

We know the linear function as following:

y = mx + b

m is the slope of the equation. b represents the y-intercept.

To find m, we divide the rate of change of y by the rate of change of x. We know that the rate of change y is +3 because we add three each time in order to find the next value. The rate of change of x is +1 because we add one each time to find the next value. So m would be:

m = 3/1

m = 3

Our linear equation is now as following:

y = 3x + b

In order to find b, we should first substitute a coordinate in the equation above.

y = 3x + b

6 = 3(1) + b

Then, we multiply 3 with 1

6 = 3 + b

Finally, we substract 3 on both sides. Now we've got our b value.

b = 3

Now our equation should look like this.

y = 3x + 3

To verify if the equation, we should substitute another coordinate, and verify if each side of the equation is equal.

y = 3x + 3

15 = 3(4) + 3

15 = 12 + 3

15 = 15

So we now know that the equation is indeed correct.

Answer 2

Answer:

y = 3x + 3

Step-by-step explanation:

As per given table we have ordered pairs:

(1, 6), (2, 9), (3, 12), (4, 15)

Find the slope and y- intercept to work out the equation.

y = mx + b

The slope:

m = (9 - 6)/(2 - 1) = 3/1 = 3

The y -intercept:

6 = 3*1 + b6 = 3 + bb = 3

The equation is:

y = 3x + 3

The graph is attached

Find The Equation Of The Linear Function Represented By The Table Y 6 9 12 15 X 1 2 3 4

Related Questions

A box of candy has 7 red pieces, 3 orange, 2 yellow, and 8 blue pieces. You get to
pick two pieces of candy. If you reach into the box without looking, what is the
probability that you will pick a blue piece, not replace it an then a red piece of
candy?

Answers

The probability is 2/8
28/95


There are 20 pieces of candy. First, you find the probability of drawing a blue piece which is 8/20 which is reduced to 4/5. Then you find the probability of drawing a red piece. Since you have removed a blue piece, there are now 19 pieces instead of 20. So, the probability of drawing a red piece is 7/19. Since the question is asking the probability of drawing a blue piece THEN a red piece you multiply the two fractions together since they are dependent upon each other. So, (4/5)(7/19)= 28/95.

Hope this helped. :)

someone please help!​

Answers

The answer to the questions is c

Aria's height is 3 inches less than her brother's height. Her brother's height is unknown.
Which expression shows Aria's height? Use x for her brother's height.

Aria's height is 3 inches less than her brother's height. Her brother's height is unknown.
Which expression shows Aria's height? Use x for her brother's height.

A.x/3


B.3x


C.x + 3

D.x – 3

Answers

C is the answer I think

How do I solve the following equation

Answers

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

-6-12=-1/4z
-18=-1/4z
Z=-18/-./25
Z=72

Plz check it

help me again please 7⅕ ÷ ⅗ =

Answers

Answer:

7 3/5 is the correct answer

Cassie has a box that is a cube with a side length of
4 inches. She needs a second box that has 3 times the
volume of the first box.

Answers

Answer: 192

Step-by-step explanation:

To find the volume of a shape, we multiply the length by the width by the height. Since this is a cube, we know that they are all 4, so we do 4 times 4 times 4. We get 64. SInce we know that Cassie needs a cube with a volume that is 3 times of the previous volume, 64, we multiply 64 by 3. The answer is 192.

Answer:

192 in³

Step-by-step explanation:

The volume of a cube is represented by raising one side length to the 3rd power.

4 x 4 x 4 = 64

64 is the volume of the first box.

The second box is 3 times the value of the third box, so the equation for the third box is:

64 x 3 = 192

help dududidihendhhejrjfjf

Answers

Answer:

x = − 8

Step-by-step explanation:

Factor then solve to find the complex solutions.

Q1: The first three stages of a pattern are shown below. Each stage of the pattern is made up of small squares. Each small square has an area of one square unit. Stage 1 Stage 2 (a) Draw the next two stages of the pattern. (b) The perimeter of Stage 1 of the pattern is four units. The perimeter of Stage 3 Stage 2 of the pattern is 12 units. Find a general formula for the perimeter of Stage n of the pattern, where # EN. (c) Find a general formula for the area of Stage n of the pattern, where E N. (d) What kind of sequence (arithmetic, quadratic, geometric, or none of these) do the areas follow? Justify your answer.​

Answers

9514 1404 393

Answer:

  a) see attached for the drawings

  b) p = 8n -4

  c) a(n) = 4n(n -3) +13  for n > 1; a(1) = 1

  d) none

Step-by-step explanation:

a) The overall dimensions of the next two stages of the pattern will be 7×7 and 9×9. Excluding the 4 "ears", the central squares are 5×5 and 7×7. The drawings are shown in the attachment.

__

b) The sequence of perimeter values is ...

  4, 12, 20, 28, 36, ...

This is an arithmetic sequence with a common difference of 8. A suitable formula for the perimeter p of stage n is ...

  p = 8n -4

__

c) The sequence of area values is ...

  1, 5, 13, 29, 53, ...

The first differences are ...

  4, 8, 16, 24, ...

and the second differences are ...

  4, 8, 8, ...

At no level are the differences "common", so this sequence cannot be described by a polynomial function. After the first one, the second differences are common, so the sequence after the first term can be described by a quadratic function.

The function describing the sequence must be defined in two parts:

  [tex]a(n)=\begin{cases}1&\text{ for $n = 1$}\\4n(n-3)+13&\text{ for $n>1$}\end{cases}[/tex]

__

d) Because the function must be piecewise defined, the area sequence is not any of the types of sequences listed. After the first term, it is a quadratic sequence.

_____

Additional comment

The leading coefficient of the quadratic formula for the area sequence is half the second difference. When 4n² is subtracted from the sequence of areas, the remaining arithmetic sequence has a common difference of -12. In order to bring the total of these quadratic and arithmetic sequences up to the correct area value, 13 must be added. This formula would give a(1) = a(2) = 5, which is not the correct value for a(1). Hence, that must be defined separately.

True or false? Please help.​

Answers

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

How simplify -8/3 devided by -2/6

Answers

Answer:

The answer is 8

Step-by-step explanation:

-8/3 divided by -1x2 / 3x2

-8/3 divded by -1/3

-8/3 x 3 / 3 x -1 = -8/-1 =  8 x -1 + 0 / -1

= 8

So your answer is 8

Please mark Brainliest I answered First

write the ratio $12 dollars 3 tickets as a unit rate

Answers

Answer:

20 pesos lang

Step-by-step explanation:

kami 5 pesos per ticket kayo 12 dollar

Match the expression with it's simplified version:

Answers

Answer:

they are already matched

Step-by-step explanation:

Answer: (x^7)/(x^4) = x^3, x^(-3) = 1/(x^3), x^0 = 1, (x^4)/(x^3) = x

Step-by-step explanation:

Dividing two exponents with the same base can be simplified by subtracting the exponents. Thus (x^7)/(x^4) is the same as x^(7-4), or x^3.

A negative exponent is the same as the reciprocal of the positive exponent. x^-3 is the same as 1/(x^3).

Anything with an exponent of 0 is equal to 1.

Again, when dividing two exponents, if they have the same base, you can just subtract the exponents. (x^4)/(x^3) = x^(4-3) = x^1 = x.

Holly buys a $22 shirt for 20% off. The tax rate in her city is 6.5%. What is the total amount she paid for the shirt? Round to the nearest cent.

Answers

Answer:

$18.74

Step-by-step explanation:

To find the sale price:

22 * 0.2 = 4.4

22 - 4.4 = 17.6

or, you can just multiply by 0.8, so you wont need to subtract later

22 * 0.8 = 17.6

Then, you need to find the tax amount:

17.6 * 6.5 = 1.144

17.6 + 1.144 = 18.744

Round

18.74

QUESTION: 600 ÷ ___ = 3?
SOURCE: i-Ready

Answers

Answer:

The answer is 200 I AM POSITIVE

Step-by-step explanation:

Mark me as branliest maybe??

Calculate A woman is walking at a rate of 0.5
m/s. Her mass is 62 kg. Calculate the woman's
kinetic energy in joules.

Answers

Answer:

7.75J

Step-by-step explanation:

kinectic energy formula = 1/2mv²

m mass

v velocity

1/2 x 62 x 0.5² = 7.75

A woman is walking at a rate of 0.5m/s. Her mass is 62 kg. The woman's kinetic energy in joules:

K.E. = 7.75 kgm²/s²

What is Kinetic Energy?

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

Given,

Mass = 62kg

Velocity = 0.5m/s

The formula for Kinetic Energy is :

K.E. = 1/2 m v².

K.E. = 1/2 (62)(0.5)²

K.E. = 1/2 (62)(0.25)

K.E. = 1/2 (15.5)

K.E. = 15.5/2

K.E. = 7.75 kgm²/s²

or

K.E. = 7.75 joules

Hence, he woman's kinetic energy in joules, K.E. = 7.75 kgm²/s²

To learn more about Kinetic Energy click on the link

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What is the slope of the line that passes through the points (4, 10)(4,10) and (1, 10) ?(1,10)? Write your answer in simplest form.

Answers

Answer:

0

Step-by-step explanation:

Slope = Δy/Δx

Slope = 10-10/4-1

Slope = 0/3

Slope = 0

It is a Horizontal Line

-Chetan K

PLEASE ANSWER ASAP
i can't figure out the answer

Answers

Answer is C have a nice day

which reason could be used for statement 3??

Answers

Option 3, definition of congruent segments is the answer I'm pretty sure

Given f(x) = 9-3x and g(x) = - 6x + 3, find (f + g)(x).

Answers

Answer:4

Step-by-step explanation:

Choose the scientific notation for 800.
O 8 x 10
O 8 x 102
O 8 x 103
O 8 x 100

Answers

Answer:

O [tex]8 * 10^2[/tex]

Step-by-step explanation:

Hope it helps

Peace out

^^ ^-^ :) ;) ~-~

Factor the Polynomial
6x3 - 16x2 + 21x - 56

Answers

Answer:

-1190

Step-by-step explanation:

I'm gonna do some sketchy stuff doda doda

the answer is (3x-8) (2x^2+7)

What is the product of 14.5×100

Answers

Answer:

1450

Step-by-step explanation:

Any number times 10 goes up one value.

ones become tens, and tens become hundreds etc..

87x10=870

And a number times 100 goes up two values.

23.5x100= 2350

hope this helped ;)

Step-by-step explanation:

you don't have a calculator ? with that you would have gotten the answer immediately.

so you had to write the question in here, need to wait for an answer, ...

but actually, this is very easy to solve even without a calculator, as this is how our decimal numbers work : based on powers of 10.

multiplying by 100 moves the decimal point 2 positions to the right (and fill up with zeros where necessary) :

14.5 × 100 = 1450

a multiplication by 10 moves the decimal point 1 position to the right.

a multiplication with 1000 3 positions to the right. and so on.

a division by 100 moves the decimal point 2 positions to the left (and fill up with zeros where necessary). and so on.

A jewelry store is having a sale, and all items are 15% off. If a necklace was originally price at $85.00, what is the sale price?

Answers

85*.15=12.75
85-12.75
72.25
The sale price is $72.25

what is the product of 2 x 2 x 3 x 3 using an exponent?

Answers

Answer:

2^2 * 3^2

Step-by-step explanation:

2 * 2 * 3 * 3

We are multiplying 2 twos and we are multiplying 2 threes 3^2

The base is the number and the exponent is the number of the times

2^2 * 3^2

How to factor 3x³+3x²-36

Answers

Answer:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Step-by-step explanation:

Firstly, divide all parts of the equation by 3:

[tex]3x^3 + 3x^2-36[/tex]

[tex]3(x^3 + x^2-12)[/tex]

Now focus on the equation:

[tex]x^3 + x^2-12[/tex]

We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:

1 12

2 6

3 4

1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:

[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]

We can confirm this is simplified by multiplying together:

[tex](x - 2) (x^2 + 3x + 6)[/tex]

[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]

= [tex]x^3 + x^2 - 12[/tex]

Meaning it is simplified.

Now, put the equations together:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Hope this helps!

How many unique three-letter sequences can be made from the word COMBINATORICS where no 2 letters can be the same?

Answers

Answer:

BIN

TIC

SIT

BIT

MOB

ROT

SIR

BAN

BAM

TAN

RAT

ROB

theres tons of words you can make, just take a few seconds and find as many as you can

Answer:

720

Step-by-step explanation:

the way I read this problem is like a Scrabble set. Start by getting a unique set of letters:

COMBINATRS

10 unique letters

10! / (10-3)!

10! / 7!

720

x + 4y = 23
-2x + 3y = -2

Answers

Answer:

  (x, y) = (7, 4)

Step-by-step explanation:

I find a graphing calculator to give a solution quickly and easily.

  (x, y) = (7, 4)

__

Here, we can solve the first equation for x, then substitute into the second.

  x = 23 -4y

  -2(23 -4y) +3y = -2 . . . . . substitute for x

  -46 +8y +3y = -2 . . . . . eliminate parentheses

  11y = 44 . . . . . . . . . . . collect terms

  y = 4 . . . . . . . . . . . . divide by the coefficient of y

  x = 23 -4·4 = 7 . . . . use the expression for x to find x

  (x, y) = (7, 4)

solve pls brainliest

Answers

Hey there!

39 = - u / 6

MULTIPLY 6 to BOTH SIDES

39(9) = (-u / 6)(6)

CANCEL out: the RIGHT side

KEEP: the LEFT side because it helps solve for the u-value

NEW EQUATION: -u = 234

DIVIDE -1 to BOTH SIDES

-1u / -1 = 234 / -1

CANCEL out: -1 / -1 because it gives you 1

KEEP: 234 / -1 because it gives you the result of the u-value

NEW EQUATION: u = 234 / -1

SIMPLIFY IT!

u = -234

Therefore, your answer is: [u = -234]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

-234

[tex]u = ( - 6) \times 39 = - 234[/tex]

What is 12/9 in simplest form

Answers

the simplest form would be 4/3
Answer) 4/3
Explanation)
You’d have to find the common factor of 12 and 9

pls help
which trend line properly describes the data relationship in the scatterplot? ​

Answers

Answer:

The 2nd one

Step-by-step explanation:

The trend line properly describes the data relationship in the scatterplot is plot A.

What is Trend line?

A trend line is also known as a line of best fit, and it is used to illustrate the behaviour of a set of data to assess if it is in a given pattern. So, a trend line is an analytical technique that is frequently used in conjunction with a scatter plot to determine whether or not there is a relationship between two variables.

As, per the plots.

The scatter plot A have the points distributed symmetrically on the both side of line.

Also, straights lines are negatively correlated with scatter points.

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