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

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

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

standard form
y = -8x + 7

Answers

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

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:


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.

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:

https://brainly.com/question/4736731

#SPJ2

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

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

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

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

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]

Read more about hyperbolas at:

https://brainly.com/question/15697124

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

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

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

                               

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

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)

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.

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.

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

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

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=

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)

find the product what is 9.874×7= ? ​

Answers

the answer is 69.118 !

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:

https://brainly.com/question/24080560

#SPJ3

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’.

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!

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

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

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

Learn more : https://brainly.com/question/18112348

What is the value of x?​

Answers

4

ISNDNDMSLWLWKXDJSNKWKEDLC

Other Questions
30 points for the 2 people who answer.Do you feel traditional gender roles and stereotypes fit in today's society. For example, should women stay home and raise children, prepare meals, and keep the house clean? Should jobs such as police officers, firefighters, and CEOs be dominated by men only? Explain why you feel these are or are not appropriate in today's society.Do you feel men should be more "masculine" and not show their emotions? Why or why not?please answer with you belief or opinion. Select all the correct answers.Which two expenses are considered variable expenses?car loan paymentcar fuelo grocery billO mortgage paymentO property taxes Hey all! How would you write write this code? Write a C++ program using variables and loops in order to implement the Hi-Low strategy of card counting and keep a running count. The Hi-Low strategy of card counting assigns one of three values to a card, based on its face value. The table below breaks down these values. FACE VALUE ASSIGNEDVALUE 2, 3, 4, 5, 6 +1 7, 8, 9 0 10, J, Q, K, A -1 In a typical game of Blackjack, a card counter will start with a fresh deck and a count of 0. Each time a card is played, its assigned value is added (or subtracted) from what is known as the running count. The running count rolls over from hand to hand. For instance, if the first 7 cards of a game were: Queen, Jack, 4, 6, 7, Jack, 9, then the running count would be (0) -1 -1 + 1 + 1 + 0 1 + 0 =-1 What war latest 100 years between France and England called?-Must give date aswell. Identify the role of each of the three branches of government. The formula F=95C+32 changes a temperature reading from the Celsius scale C to the Fahrenheit scale F. What is the temperature measured in degrees Fahrenheit when the Celsius temperature is 50C? Can you give a definition of what Sodium Hydroxide Fei Yen is researching and analyzing the history of environmental laws. She reads this paragraph about the 1990 updates to the Clean Air Act and makes the inference that some people feared the law would be too difficult to enact quickly. Read the paragraph and then answer the question.To achieve environmental gains within a reasonable timeframe at the lowest feasible cost, the new law will take hold in stages, with most controls fully in effect by 2005. What, specifically, are some of these gains? Emissions that cause acid rain (sulfur dioxide and nitrogen oxides) will be cut to roughly half of 1980 emission levels. More than thirty million tons of noxious air pollutants will be removed from the air each year. Every part of the country finally will have means to attain healthy air on a realistic schedule. And the risk from toxic air emissions will be cut by three-fourths.Which evidence from the paragraph supports Fei Yens inference? you will Barinliest and 100 pointsO A)And the risk from toxic air emissions will be cut by three-fourths.O B)More than thirty million tons of noxious air pollutants will be removed from the air each year.O C)Every part of the country finally will have means to attain healthy air on a realistic schedule.O D)Emissions that cause acid rain (sulfur dioxide and nitrogen oxides) will be cut to roughly half of 1980 emission levels.And answer this correctly please are favorable or unfavorable opinions toward people,things, or situationsO Self-esteemO FriendshipsO Personality characteristicsO Attitudes If m12 = 117 and m5 = 51, find each measure. m1 = m8 = m2 = m9 = m3 = m10 = m4 = m11 = m6 = m13 = m7 = m14 = Why is it important that the citizens of the U.S. make sure that America and its government our living up to its principles are value? Need Help ASAP fill in the blank FRENCH HELP THANKS!!! Round 171,936 to the nearest ten thousand I will give brainliest! Find the slope of the line through each pair of points. (13, 19), (13, 3) Find the slope of each line. y = 2x 1 please help me thank you this is not fair (make it affirmative) Question 3DELETERIOUS means EVIL IN INTENTTrueFalse Spelling and vocabulary words: Organisms Reproduction Structure Substances Unicellular Osmosis Division Photosynthesis Organ Function Membrane Cytoplasm Nucleus Chloroplast Chlorophyll Can y'all help me find the definitions of these words, it'd for my science exam and I'm revising. I can't search them up rn cuz I have to go to bed and I don't wanna get in trouble and I really wanna get this done.Thxx will provide big points and brainiest for first answer