What is the function rule for the line?

What Is The Function Rule For The Line?

Answers

Answer 1

Answer:

f(x) = (2/3)x-2

Step-by-step explanation:

The slope is positive. We can calculate it by taking any two points on the line and finding the Rise (change in y) divided by the corresponding Run (the change in x). I'll pick points (-3,-4) and (3,0) [mostly becasue it is easy to see whole numbers for both x and y at these points].

Going from (-3,-4) to (3,0):

Rise = (0-(-4)) = 4

Run = (3-(-3)) = 6

Rise/Run, or slope, = 4/6 or 2/3.

Put this into the standrad form for a straight line: y=mx+b, we get:

y = (2/3)x + b.

b is the y-intercept, the value of y when x is zero. We can find that on the graph. When x = 0, y = -2. So b is -2.

y = (2/3)x - 2


Related Questions

The percent change from 45 to 90 is

Answers

A change from 45 to 90 represents a positive change (increase) of 100%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = New - Old|Old| × 100%

Percent change = 90 - 45|45| × 100% =

4545 × 100 = 100% (increase)

Where: 45 is the old value and 90 is the new value. In this case we have a positive change (increase) of 100 percent because the new value is greater than the old value.

What is the answer to the equation 3=the square root of b-1

Answers

Answer:

B= 2

Step-by-step explanation:

Terence biked 9 16 of the distance to school in 1 3 hour. If he maintains the same rate, what is the total amount of time he will take to get to school? Step 1: 9 16 ÷ 1 3 = t Step 2: 16 9 · 1 3 = t Step 3: 16 24 = t Step 4: 2 3 hour will be the time taken to get to school.

Answers

Answer:

2

Step-by-step explanation:

help please and thank you, I'll mark u brainly

Answers

f(x)=80 and g(x)=45. 80-45=35 so f(x) is 35 more greater than g(x)

HELP T_T
i crown u brainiest

Answers

Answer:

x=8

Step-by-step explanation:

9(8)+12= 84 which makes the other angel of the traingle 96. 7(8)+6 is equal to 62. Adding 62 with 22 and 96 gives you 180, making the traingle complete. Hope this helps :)

Answer:

x = 8

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

9x + 12 is an exterior angle of the triangle , then

9x + 12 = 7x + 6 + 22

9x + 12 = 7x + 28 ( subtract 7x from both sides )

2x + 12 = 28 ( subtract 12 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Describe the rotational symmetry or symmetries of the figure.

Answers

Answer:

A) 180º

Step-by-step explanation:

i wont be symmetric at 90º or 270º or 120º or 240º. and it has rotational symmetry

Describe a rigid transformation that takes Polygon to Polygon .

Answers

Answer:

If you mean moving a shape like sliding, then it would be a translation.

Answer:

below

Step-by-step explanation:

Rigid transformation will keep the size and shape of the original object after transformation. It has 3 basic types : rotation, translation, reflection and any combination of 3 types.

Solve, if you please.

Answers

Answer:

1 does not represent a function, but 2 and 3 do

Step-by-step explanation:

1 is not a function because there are multiple points, with the same x value. 2 and 3 are functions because there are not multiple points with the same x value

Round the following numbers to the nearest 100. 468 1350 6849​

Answers

The solution is, rounding off the numbers to the nearest 100. 468 1350 6849​, is: 500, 1300, 6800.

What is round off?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, we have,

given that,

the numbers are 468, 1350, 6849​

now, we have to Round the following numbers to the nearest 100.

To round a number to the nearest 100, look at the tens digit. If the tens digit is 5 or more, round up. If the tens digit is 4 or less, round down.

so, we get,

468 => 6>5, so, 468 =>500  

1350 => 35 < 50, so 1350 => 1300

6849​ => 4<5 , so , 6849=> 6800

Hence, The solution is, rounding off the numbers to the nearest 100. 468 1350 6849​, is: 500, 1300, 6800.

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The roots of the quadratic function describing the relationship between number of
products produced and overall profit margin are x = 0 and 28. The vertex is a minimum
at (14, -40)
The company actually loses money on their first few products as it costs them more to
make them, but once they hit items they break even again.
The worst case scenario is that they produce items, as they will have a profit of
dollars. The first root tells us that the profit will be 0 when products are
sold.

Answers

The 3 by the 4 will equal twenty four if you jump off a cliff

The ratio of forks to spoons in the cafeteria is 15:6. If there are 45 forks, how many utensils are there altogether?

Answers

Answer:

15/6 = 45/x

18 = x,

45 + 18 = 63 utensils

Please help me with this homework

Answers

Answer:

The third one

y+1=-2(x-3)

Step-by-step explanation:

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

y+1=-2(x-3) becomes y=-2x+5

Then just graph it.

The number of students in a school is between 500 and 600. If we group them into groups of 12, 20, or 36 each, 7 students are always left over. How many students are in this school?

Answers

Add hen subtract then multiply then do the average and u should get 57 students are in the school

There are 547 students in this school.

How did we arrive at the value?

Let's solve this problem step by step.

1. We know that the number of students is between 500 and 600 and leaves a remainder of 7 when divided by 12, 20, or 36.

2. To find the number of students, we need to find a number that satisfies all these conditions.

3. Let's start by finding the least common multiple (LCM) of 12, 20, and 36, which is 180.

4. Now, we can represent the number of students as 180n + 7, where n is a positive integer.

5. To find a value of n that falls within the range of 500 to 600, we can try different values for n until we get a suitable number.

Let's calculate:

For n = 3: 180 * 3 + 7 = 547 (Within the range)

For n = 4: 180 * 4 + 7 = 727 (Exceeds the range)

So, there are 547 students in this school.

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Adrian had $848.25 in his account when he deposited m $20 bills and p dimes. Choose the
expression that represents the amount in his account after the deposit.
(ANSWER FAST PLEASE)

Answers

Answer:

Second option

Step-by-step explanation:

It's subtraction

Answer:

A

Step-by-step explanation:

An isosceles triangle has an angle that measures 80°. Which other angles could be in that isosceles triangle? 50° 20° 70° 80°

Answers

Answer: 80 and 20

Step-by-step explanation:

the sides of a triangle need to add up to 180 80+80+20=180

All of the points in the graph are on the same line. Find the slope of the line.

Answers

Answer:

Step-by-step explanation:

take (1,3) and (9,7)

slope=(7-3)/(9-1)=4/8=1/2

help me pls its geometry

Answers

Answer:

The first answer is segment bisector

Simplify ∑=2 =n+1 ( + 4)

Answers

Step-by-step explanation:

Did you mean

[tex] = \sum \limits_{n = 2}^{4} (n + 1)[/tex]

[tex] = (2 + 1) + (3 + 1) + (4 + 1)[/tex]

[tex] = 3 + 4 + 5[/tex]

[tex] = 12[/tex]

Approximately how much does it cost an average two-parent, two-child family to raise a child to age 17

Answers

100,000$+ it can range from

The teacher separated her class of twentyeight students into two groups. One group has 4 more than twice as many students as the other group. How many students are in each group

Answers

Answer:

The first group has 20 and the second group has 8.

Step-by-step explanation:

1. Twice as many as 8 is 16  (8x2)

2. If you add four to the total it's 20 (16+4=20)

3. So group one has four more than twice as many as group 2.

Which is a related multiplication fact for 18 ÷ = 6

A. 18 ÷ 2 = 9
B. 6 x 3 = 18
C. 18 - 12 = 6
D. 6 x 4 = 24

Answers

Answer:

B. 6 × 3 = 18

Step-by-step explanation:

18 ÷ ? = 6

18 ÷ 6 = ?

3 = ?

So 18 ÷ 3 = 6 and 6 × 3 = 18

A $22 item has been marked up 15%. What is the new price?

Answers

Answer:

The new price is $25.30.

22x0.15= 3.3.

22+3.3= 25.30

Step-by-step explanation:

hope this helps :)

*urgent* Determine whether this quadrilateral must be a parallelogram

Answers

Answer:

It is a parallelogram

Step-by-step explanation:

It has slanted sides.

What are the vertices of the image r(90,0) (BCD)

Answers

A. B'(-3, -3), C'(-1, 4), D'(2, 0)

What is the value of the expression 5(2^3-3)? Show your work

Answers

Answer:

25

Step-by-step explanation:

2 to the power of 3 gives 8-3 =5times 5 = 25

Algebra 1 Midterm 2021-2022
Consider the equation 1.5x +4.5y = 18. If we graph the equation, where does the graph intersect the y-axis?
4
1.5
12
18

Answers

The answer would be 4! All I did was use a calculator to graph it and it showed

SOMONE EXPLAIN CALCULUS TO MEEEE

Answers

Answer:

Calculus is when you make that amount of time tinier and tinier and tinier, and that makes the distance tinier and tinier and tinier too, so that, at that moment, the tiny distance divided by the tiny time is 31 miles per hour, but a second later it might be 30 mph or 32 mph or something else.

Step-by-step explanation:

[tex]⇒[/tex]

Calculus is a branch of mathematics that involves the study of rates of change. ... Calculus helped to determine how particles, stars, and matter actually move and change in real time. Calculus is used in a multitude of fields that you wouldn't ordinarily think would make use of its concepts.

Categories

It has two major branches, differential calculus and integral calculus; the former concerns instantaneous rates of change, and the slopes of curves, while integral calculus concerns accumulation of quantities, and areas under or between curves.

Find the value or expression for 0.
1. sin(55) = cos( )
2. sin ( ) = cos(28)
3. cos(y) = sin( )

Answers

Using complementary angles, it is found that the values for the expressions are given as follows:

1. sin(55) = cos(35).

2. sin (62) = cos(28).

3. cos(y) = sin(90 - y).

What are complementary angles?


Two angles are called complementary if the sum of their measures is of 90º; If two angles are complementary, the sine of one is the cosine of the other.

Hence, since 55 + 35 = 62 + 28 = 90, we have that the values are given as follows:

1. sin(55) = cos(35).

2. sin (62) = cos(28).

3. cos(y) = sin(90 - y).

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Triangle B is a scale image of Triangle A as shown. Find the base of Triangle A in centimeters. Show your work. (please help! ive been stuck on this for a while!)​

Answers

Answer:

? = 13

Step-by-step explanation:

40.5/9 = 4.5

9 x 4.5 = 40.5

X x 4.5 = 58.5

4.5X = 58.5

4.5X/4.5 = 58.5/4.5

x = 13

Answer:

13

Step-by-step explanation:

We are given the sides of one of the triangles. If you take 9/40.5, you get .2222222. We can then use that to find the base. If you take 58.5, multiply it by .22222, you get 13!

Find the area and perimeter.​

Answers

Answer: 1/7

Step-by-step explanation: 1/7 is the answer

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