The table below represents a function. Which of the following equations could be its function rule?

x y
0 -2
1 0
3 4
-2 -6



y = -2 x
y = 2 x - 2
y = x - 2
y = 3 x - 3

Answers

Answer 1

Answer:

[tex]y=2x-2[/tex] is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)[/tex]

[tex]m=\frac{0-\left(-2\right)}{1-0}[/tex]

[tex]m=2[/tex]

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

[tex]y=mx+b[/tex]

[tex]-2 = 2(0)+b[/tex]

[tex]-2=0+b[/tex]

[tex]b=-2[/tex]

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

[tex]y=mx+b[/tex]

[tex]y=2x+(-2)[/tex]

[tex]y=2x-2[/tex]

Thus, [tex]y=2x-2[/tex] is the required equation.

Therefore, the second option is true.


Related Questions

find an equation of the line that has a y-intercept of -1 that is parallel to the graph of the line x - 3y = 6

Answers

Answer:

y = [tex]\frac{1}{3}[/tex] x - 1

Step-by-step explanation:

x - 3y = 6 ⇔ y = [tex]\frac{1}{3}[/tex] x - 2

y = [tex]\frac{1}{3}[/tex] x - 1

x - 3y = 6
3y = x - 6
y = 1/3x - 2

Hence,

Answer = y = 1/3x - 1


Or x - 3y = 3
If you want it in the same form as before

Johnny says that 600 cm is not enough moulding for the baseboards that measure 5642 mm. Is he right in his statement? Explain

Answers

Answer:

Johnny is wrong.

Step-by-step explanation:

To compare two quantities, they must both be written in the same units. In this case, both must be in centimeters or millimeters. So, we must convert 600cm to millimeters or vice versa.

If we choose to use milimeters, we have

600cm=600cm [tex]\frac{10mm}{1cm}[/tex]

600cm = (600)(10) mm

600cm = 6000 mm

Now, we must compare 6000 mm with 5642 mm. We can see that 6000mm is greater than 5642 mm. hence, it is enough moulding for the baseboards.

In fact, 6000-5642 mm =358 mm would remain.

Composite numbers have less than two factors. more than two factors. exactly two factors. greater than or equal to two factors.

Answers

Answer:

More than two factors

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

more than 2 answers

Stay safe,wear a mask,stay at home <3

Spongebob ordered $965.00 worth of Crabbie Patties. He had to pay tax which was 6%. How much did he need to pay in all?

Answers

Answer:

965.06

Step-by-step explanation:

Which is equivalent to 180x11 after it has been simplified completely?
O 3x10 /5x
O 3x55x
O 6x10,5x
O 6x5/5x

Answers

Answer:

O 6x5/5x

Step-by-step explanation:

Answer:

It should be D. I'm not 100% sure though. But D is what I chose.

All of the points are in the picture are on the same line. What is the slope of the line?

A. 1/2
B. 8
C. 2
D. 4

Answers

Answer:

The answer is A, 1/2.

Step-by-step explanation:

When using the rise/run technique, you can easily fund the slope. I found that the slope was 4/8, then I simplified to 1/2.

Help help help pls now
Give answer in cm squared

Answers

Answer:

13×11=143cm[tex]{2}[/tex]

Step-by-step explanation:

you do base times height

Answer:

110.5 cm²

Step-by-step explanation:

The figure is composed of a rectangle with a triangle on top.

Area of rectangle = 13 × 6 = 78 cm²

Area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 13 and h = 11 - 6 = 5 cm , then

A = [tex]\frac{1}{2}[/tex] × 13 × 5 = 32.5 cm°

Thus

total area = 78 + 32.5 = 110.5 cm²

-x+4=x+6 i have to solve for x

Answers

Answer:

Collect like terms

-x-x=6-4

Solve

-2x=2, -x=1 or x=-1

Step-by-step explanation:

I hope this helps, please give me brainliest

K
KL = 7, JL = 24, and JK = 25. Find tan J.

Answers

Answer:

Tan J = 0.2917

Step-by-step explanation:

Here, we want to find the value of tan J

Firstly, we need to understand that the numbers 24, 25 and 7 are a Pythagorean triple and as such the three measures represent the values of length of the sides of a right angled triangle

The tangent of an angle= measure of the opposite/measure of the adjacent

In the question, the opposite to point J measures 7 while the adjacent measures 24

So ;

tan J = 7/24

= 0.2917

Solve the equation k^2-6k=11 by completing the square

Answers

Answer:

2

Step-by-step explanation:

What is the rate of change?

Answers

Answer:

25m

Step-by-step explanation:

Answer:

The answer is 50 miles per day

Step-by-step explanation:

becasue you started at that point and went up 50 each time.

Which point has coordinates (4, StartFraction 3 pi Over 4 EndFraction)
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation: I got it right.

A lollipop costs $0.90. A candy necklace costs $0.31. How much more does a lollipop cost
than a candy necklace?



I really need help !!!!!! Gibing 89 points

Answers

Answer:

$0.59 more than the candy necklace

Step-by-step explanation:

you subtract .90 from .31

When angles are complementary, the sum of their measures is 90 degrees. Two complementary angles have the measures of 2x - 10 degrees and 3x - 10 degrees. Find the measures of each angle

Answers

Answer:

2x - 10 = 34 degrees

3x - 10 = 56 degrees

Step-by-step explanation:

Since they're complementary, they'd equal 90-degrees.

Solve for x:

2x - 10 + 3x - 10 = 90

5x -20 = 90

5x = 110

x = 22

2(22)-10 = 34

3(22)-10 = 56

10. Reka Rahim is employed at a restaurant. She has family medical coverage through the company's group
medical plan. The annual cost of Reka's family coverage is $3,700.00. The company pays 35% of the cost. How
much does Reka pay annually for medical insurance?
$3,700.00
$1,295.00
$2,405.00
$4,050.00

Answers

The answer is 2,405.00

9) Select the best method to solve the system.

4x+4y=16
2x-2y=6

*elimination
*substitution

Answers

Substitution because you need to substitute one of the variables

Answer:

elimination

Step-by-step explanation:

multiply 2nd eqn by 2 and take eqn 1 - eqn 2 and you'll get rid of x term, leaving only the y term and a constant, where you can then easily solve for y and sub to get x

Topic: simultaneous eqn

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Which quadratic equation has real solutions?
A. 4x^2 -5 = -7
B. 2/3x^2 +7 = 11
C. 3x^2 -1 = 8x^2+9

Answers

Answer:

B. 2/3x^2 +7 = 11

Step-by-step explanation:

You have 480 grams of radioactive kind of carbon. How much will be left after 60 minutes if it's half-life is 20 minutes?

Answers

Answer:

60 grams

Step-by-step explanation:

480/8 = 60

A. y= -4/5x+ 5/4
B. y= -4/5x+ 3/2
C. y= -5/4x+ 3/2
D. y= -5/4x+ 5/4

Answers

The answer is C and here are the steps

ASAPPPP!!!
If you own 850 shares of a stock valued at
$87.43 per share, how much money would that
stock be worth if sold

Answers

Answer:

$74315.50

850* 87.43 = 74315.5

Find the slope of the line that contains (-9, 1) and (3,6).

Answers

Answer:

The slope is 5/12

Step-by-step explanation:

To find the slope between any two points, we can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are our two points.

We have the two points (-9, 1) and (3, 6).

Let’s let (-9, 1) be (x₁, y₁) and let (3, 6) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{6-1}{3-(-9)}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{5}{12}[/tex]

So, the slope of the line that contains the two points (-9, 1) and (3, 6) is 5/12.

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?

y = 2x – 2
y = 2x + 2
y = x + 2
y = x – 2

Answers

Answer:

C

Step-by-step explanation:

We know that line CD passes through the two points (0, 2) and (4, 6).

First and foremost, let’s find the slope of the line. We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are our two points.

So, let’s let (0, 2) be (x₁, y₁) and (4, 6) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{6-2}{4-0}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{4}{4}=1[/tex]

Hence, our slope is 1.

Now, we can use the slope-intercept form:

[tex]\displaystyle y=mx+b[/tex]

Where m is our slope and b is our y-intercept.

Notice from our given points that we are given (0, 2).

So, our y-intercept is 2.

Therefore, we will substitute 1 for m and 2 for b. This yields:

[tex]\displaystyle y=(1)x+(2)[/tex]

Simplify:

[tex]\displaystyle y=x+2[/tex]

Hence, our answer is C.

Rameez borrowed Rs. 20,000 from a bank at the rate 5% p.a compounded annually. What amount will he pay at the end of three years to clear the loan?

Answers

Answer:

23000

Step-by-step explanation:

If you multiply 20,000 * 0.05 (the percentage of the rate) you get 1000

This means that for 3 years he will pay an interest of 3000, plus the original loan 20000 which means he will pay 23000 :D

Describe the series of rigid transformations that maps pqs onto p’’’q ’’’s ’’’ .explain.

Answers

it’s triangular your welcome hint q

Consider the graph of z3. Which lettered point represents z?

Answers

Answer:B is correct for this specific question(5 of 11. C is correct for the other (4 of 11). Make sure to look at the picture of the graph before you answer.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

edg 2023

need help quick its my GCSE what is 1 +1 if you cant do it its okay LOL

Answers

THE ANSWER IS 2

PLS GIVE BRAINLIEST

Answer:

1 + 1 = 2

Step-by-step explanation:

I don't know why but I have been seeing a lot of questions like this lol

how to find a 90 degree angle ​

Answers

Answer:

See explanation

Step-by-step explanation:

See if there's a right angle. A right angle will have a little box.

If it is about 240 miles to the international space station, how many kilometers is 240 miles? Round your answer to the nearest whole kilometer.

Answers

Answer:

240: The average distance in miles above Earth's surface the ISS orbits (400 kilometers). On a clear ... 8: The total length, in miles, of wire that connects the electrical power system (12.9 km).

Step-by-step explanation:

have a nice day ahead hope it will help you

Answer:

386.243

Step-by-step explanation:

386.243 is rounded to 386

Using compatible numbers to estimate, which expression has a quotient of about 70?

A. 3,424÷49
B. 5,358÷89
C. 6,409÷79
D. 5,238÷89

Answers

A is the best option it results in 69.9

Answer:

A: 3,424/49

Step-by-step explanation: so its pretty simple if you ask me, if you do long division it is a lot more understandable. if you don't know how to do that then just use a calculator -_-

When writing the coordinates does it matter if we put x or y first?

Answers

Answer:

hii

Step-by-step explanation:

yes it does matter the The x-coordinate always comes first, followed by the y-coordinate.

Answer:To locate (2,5), move 2 units to the right on the x-axis and 5 units up on the y-axis. The order in which you write x- and y-coordinates in an ordered pair is very important. The x-coordinate always comes first, followed by the y-coordinate.

Step-by-step explanation: hope that this helps you! :)

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