Find the equation of the linear function represented by the table

y 6 9 12 15
x 1 2 3 4






Answers

Answer 1

9514 1404 393

Answer:

  y = 3x +3

Step-by-step explanation:

The slope of the line can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

Using the first two sets of table values, this is ...

  m = (9 -6)/(2 -1) = 3/1 = 3

You can find the point-slope equation using the form ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -6 = 3(x -1) . . . . . using the first point in the table

Solving for y gives ...

  y = 3x -3 +6 . . . eliminate parentheses, add 6

  y = 3x +3


Related Questions

find the product what is 9.874×7= ? ​

Answers

the answer is 69.118 !

9 is the cube root of (a) 343 (b) 729 (c) 629 (d) 81 ​

Answers

Answer:

(b) 729

Step-by-step explanation:

9 × 9 × 9 = 9^3 = 729

Thus, 9 is the cube root of 729

A cube root is ‘to the power of 3’. Therefore in order to solve the question, you need to calculate 9 x 9 x 9. This is equal to ‘b) 729’.

Can someone help me and explain this to me step by step?

Answers

Answer: 11/9

Step-by-step explanation:

First, convert two to 18/9. This is still equal to two but this makes it easier to answer the problem, because both of the terms have the same denominator. Now, since both of them have the same denominator, all you need to do is subtract the numerators, and put that over the denominator of 9. 18-7=11. So the answer is 11/9. This is an improper fraction, though you could also make it into a mixed number: 1 and 2/9.

Answer:

11/9

Step-by-step explanation:

Add a one under the 2. So that it becomes 2/1. Now you have the expression, 2/1 - 7/9. To subtract fractions, you need the denominators of the two fractions to be the same. We can put 9 as the common denominator. All you have to do in order for 2/1 to have 9 as its denominator, is to multiply 9 for both the numerator and denominator; 2/1 x 9/9 = 18/9. After that, your new expression would be 18/9 7/9. Just subtract across, 18 - 7 = 11, keep the denominator 9. The answer should be 11/9

per
A man deposited $80,000.00 in
bank at a 12% compound interest
annum. How much did the man have
in the bank at the second year?
e

Answers

Using the compound interest formula, the amount of money in the man's bank account in the second year is $100352

The compound interest relationship is computed using the relation :

Final amount = P(1 + r)^t

P = principal ; r = interest rate ; t = period

Plugging the values into the formula :

Final amount = 80000(1 + 12%)²

Final amount = 80000(1 + 0.12)²

Final amount = 80000(1.12)²

Final amount = $100352

Therefore, the final amount in the second year is $100352

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Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
3 + (8 + 4) ?

Answers

Answer:

acoording to the picture given, it is possible be cause there is a multiplication operation before the parenthesis.

Step-by-step explanation:

distribut the 3 to each number in the parenthesis:

(3 * 8) + (3 * 4) = 24 + 12 = 36

solve pls brainliest

Answers

Answer: (a.) +3 meters each second   (b.) +80 Celsius

Step-by-step explanation:

(a.) 18/6 =+3 meters each           (b.) 4*20=+80 Celsius

(b.) 4*every hour=

find the length of x rounded to nearest hundredth please!!

Answers

Answer:

4.00 pls give brainliest

Step-by-step explanation:

Hello turkshcutie11!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Find the value of x.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

It's given that the triangle in the figure is a right triangle (a triangle with one angle as 90°). So, we can use the pythagoras property to solve this question.

__________________

Given sides :-

5 units (base)3 units (altitude)x units (hypotenuse)

__________________

Using pythagoras property...

Hypotenuse ² = Base² + Altitude ²

x² = 5² + 3²

x² = 25 + 9

x² = 34

x = √34

x = 5.83 units (1st option).

__________________

Hope it'll help you!

ℓu¢αzz ッ

LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (60,0), where unit distance on the coordinate plane is measured in miles A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 100 miles.

What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?

Answers

LORAN follows an hyperbolic path.

The equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

The coordinates are given as:

[tex]\mathbf{(x,y) = (-60,0)\ (60,0)}[/tex]

The center of the hyperbola  is  

[tex]\mathbf{(h,k) = (0,0)}[/tex]

The distance from the center to the focal points is given as:

[tex]\mathbf{c = 60}[/tex]

Square both sides

[tex]\mathbf{c^2 = 3600}[/tex]

The distance from the receiver to the transmitters  is given as:

[tex]\mathbf{2a = 100}[/tex]

Divide both sides by 2

[tex]\mathbf{a = 50}[/tex]

Square both sides

[tex]\mathbf{a^2 = 2500}[/tex]

We have:

[tex]\mathbf{b^2 = c^2 - a^2}[/tex]

This gives

[tex]\mathbf{b^2 = 3600 - 2500}[/tex]

[tex]\mathbf{b^2 = 1100}[/tex]  

The equation of an hyperbola is:

[tex]\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}[/tex]

So, we have:

[tex]\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}[/tex]

[tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

Hence, the equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

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A living room is a compound shape made of two rectangles like the one
below. How many square feet of carpet would you need to cover the entire room?

Answers

Answer:

Step-by-step explanation:

702

Question
Jackson's backpack weighed 15 kg. Convert the weight to pounds. Round to the nearest pound.

Answers

Answer:

[tex]15 \times 2.205 = 33.0693 \: lb[/tex]

Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.

What is unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,

15 kg = 2.205 × 15 kg = 33.075 pounds

Hence, the Weight of Jackson's backpack is 33.075 pounds.

Learn more about Units conversion:

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standard form
y = -8x + 7

Answers

Y=-(8+7) standard form
Y=-1 answer

1.Which of the following is equivalent to 0.00648
2. What is the decimal equivalent of 8.3 x 10*6

3. What is the decimal equivalent of 9.7 x 10*5

4. Write 0.501 in scientific notation

5. Which of the following is equivalent to 4.99 x 10*-4

Answers

Answer:

D) 6.48 x 10⁻³

Step-by-step explanation:

to get an exponent of -3 means you move the decimal point three spaces to the right

2) 8,300,000

3) 970,000

4) 5.01 x 10⁻²  (picture)         5.01 x 10⁻¹ (question)

5) 0.000499

Simplify (−4.5)(−6)(5.4).
i need the answer pls

Answers

Answer:

145.8

Step-by-step explanation:

−4.5 x −6 x 5.4

Answer:

the answer is 145.8

Step-by-step explanation:

sorry if I did it wrong

The line, L1 passes through the points A (-3,-2) and B (3,-8) Find the gradient of L1.​

Answers

Answer:

gradient = -1

Step-by-step explanation:

gradient = y2-y1/x2-x1

gradient = -8--2/3--3

gradient = -8+2/3+3

gradient = - 6/6

gradient = -1

                               

NO LINKS OR ASSESSMENT!!!!

Answers

Answer:

See below and attached

Step-by-step explanation:

1. There are infinite number of lines going from only one point (2, 5)

No definite solution for line A.

2. This is a proportional relationship, since line passes through the origin. The slope is -3.

The line B is:

y = -3x

3. Points (-3, -2) and (3, 10)

The slope:

m = (10 + 2)/(3 + 3) = 2

The y - intercept:

10 = 2*3 + b ⇒ b = 4

The line C is:

y = 2x + 4

4. The rate of change is m = 2.5

The y- intercept:

1 = 2*2.5 + b ⇒ - 4

The line D is:

y = 2.5x - 4

5. Line E has a slope of 4, no sufficient info to conclude.

y = 4x + b, with any value of b

6. Line F has m = -3/4 and passes through (8, -1).

The y -intercept is:

-1 = 8(-3/4) + b ⇒ b = 5

The line F is:

y = -3/4x + 5

7. G is not a linear relationship as the function increases exponentially with common ratio of 3.

Write an explanation to a friend about how you
would estimate 17 1/5 / 3 4/5.

Answers

Answer:

67/5

Step-by-step explanation:

17 1/5

17x5= 85 + 1= 86/5

3 4/5

3x5=15+4= 19/5

86/5 - 19/5=

86-19= 67/5

hope this helps!

what is 100 divided by 5, (the answer) x 3 (the answer) x 79 (the answer) - 4

NO LINKS PLEASE! First to answer correct gets Branliest!!!

Answers

Answer:

4736

Step-by-step explanation:

1) 100 divided by 5 is 20

2) 20 times 3 is 60

3) 60 times 79 is 4740

4) 4740 subtract from 4 is 4736

5) Answer is 4736

Answer:

4736

Step-by-step explanation:

5*20 = 100

20*3 = 60

60*79 = 4740

4740 - 4 = 4736

SHOW YOUR WORK. Algebra question. 100 POINTS. Easy

Answers

Answer:

x = 3/2

Step-by-step explanation:

Add up the given equations t eliminate y and solve for x:

3x  + 2y + 3x - 2y = 4 + 56x = 9x = 9/6x = 3/2

Your choice is correct

can somebody help me with my social studies cause if you do i will give you brainlist

Answers

Answer:

sure if it is about something i know

How do I do 5% of 5.00? Please explain step by step?

Answers

Answer:

You take 1 percent from each

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

5% of 5

5 5 25

------ × ---- = ------

100 1 100

25/100 is 0.25

Hope this helped you- have a good day bro cya)

Subtract.

3−(−5)−(−2)

Plot the solution on the number line.

Answers

Answer:

10

Step-by-step explanation:

Answer: Its 10, so plot it on 10 in the number line

Step-by-step explanation: Since the subtraction signs cancel out, they make a addition sign. Henceforth its " 3+5+2" which would mean the sum is 10.

Hey may someone please help me<4! I’ll greatly appreciate it

Answers

Answer:

1st figure out how many feet in 1 yard

Then you can take that number <x>

X x 5

Step-by-step explanation:

Answer:

1.67 yards or 5/3

Step-by-step explanation:

I just looked it up


Which table represents exponential growth?

Answers

Answer:

B.

Step-by-step explanation:

Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.

What is the value of x?​

Answers

4

ISNDNDMSLWLWKXDJSNKWKEDLC

What are the odds of winning a game, if the probability of losing the game is 5 /13 ?

Answers

Answer:

Step-by-step explanation:

If divided: 0.38461538461

If percent: 38.4615%.

Brainliest rn:D

The odds of winning the game is [tex]\frac{8}{13}[/tex].

What is probability?

Probability is the measure of happening and non-happening of the outcomes of a random experiment.

What is the sum of probabilities?

The sum of all the probabilities of all the elementary events of an experiment is always 1.

According to the given question.

We have

The probability of losing the game is [tex]\frac{5}{13}[/tex]

Since, we know that the sum of all the probabilities of all elementary events of an experiment is always 1.

Therefore,

Probability of winning the game + Probability of losing the game = 1

Probability of winning the game + [tex]\frac{5}{13} =1[/tex]

Probability of winning the game = [tex]1 - \frac{5}{13}[/tex]

Probability of winning the game = [tex]\frac{13-5}{13}[/tex]

Probability of winning the game = [tex]\frac{8}{13}[/tex]

Hence, the odds of winning the game is [tex]\frac{8}{13}[/tex].

Find out more information about sum of all the probabilities of an event here:

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Hey, What’s up I think I know the answer but I’m not 100% so I’m asking you.

Answers

Answer:

120ft squared

Step-by-step explanation:

We'll first separate this into 3 rectangles where the height changes.

We then have 3*8*2, 3*7*2, and 3*5*2.

This solves to 48, 42, and 30.

Those added are 120.

3x2x5=30
3x2x7=42
3x2x8=48

Now add all of those together

30+42+48=120

The super discount store s having a sale and all the clearance items are 40% off. which of the following are correct ways to find the price of an item that is normally $25.00?

A. Multiply $25.00 by 40 B. Multiply $25.00 by 0.4

C. Multiply $25.00 by 0.4 and subtract that amount from $25.00
D. Multiply $25.00 by 0.6

Answers

Answer:

Answer is C.

Step-by-step explanation:

the greatest common factor of 12 and 26 pls explain the steps

Answers

Step-by-step explanation:

12- 2*6

26- 2*13

gcf =2

the least greatest common factor is 2

A constant head permeability test is performed on a soil that is 2 cm x 2 cm square and 2.5 cm long. The head difference applied during the test is 18 cm, and 5 cm3is collected over a time of 100 sec. a) Compute the permeability based on these test conditions and results b) A falling head test is to be done on the same soil specimen in teh same time (t1 - t2

Answers

Answer:A

Step-by-step explanation:por que se calcula correctamente

Anyone understand this? Please

Answers

Answer:

The sequence of transformation is 90 degrees counterclockwise rotation, followed by a horizontal translation to the right by 2 units.

The order pair rule for each are (x, y) to (-y, x) and (x+2,y)

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