Find the Pattern
12 ↦ −1
3 ↦ −4
0 ↦ −5
−1 ↦ −5.3…
−9 ↦ −8

I have to find a formula to get from the left number to the right number, but I cannot find the pattern. How do I do this, and what is the solution?

Answers

Answer 1

Answer:  y = (1/3)x - 5

This is the same as writing [tex]y = \frac{1}{3}x-5[/tex]

======================================================

Explanation:

Assume we have a linear pattern matching the form y = mx+b.

The first row has x = 12 lead to y = -1

The second row has x = 3 lead to y = -4

This produces the two points (12,-1) and (3,-4)

Let's find the slope through those points.

m = (y2-y1)/(x2-x1)

m = (-4-(-1))/(3-12)

m = (-4+1)/(3-12)

m = -3/(-9)

m = 1/3

The slope is 1/3.

The y intercept is b = -5 since x = 0 leads to y = -5

We go from y = mx+b to y = (1/3)x - 5

--------------------------

To verify we have the correct equation, plug in each left side value as x values.

Let's try x = 12

y = (1/3)x - 5

y = (1/3)*12 - 5

y = 4 - 5

y = -1

This shows that the input x = 12 maps to the output y = -1

i.e.  12 ↦ −1 is the case here.

Repeat for x = 3

y = (1/3)x - 5

y = (1/3)*3 - 5

y = 1 - 5

y = -4

We can see that 3 ↦ −4 occurs.

I'll let you check the others, but you should find that the other mappings hold true as well. Therefore, the answer has been fully confirmed.


Related Questions

What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?

Oy-1=4(3-3)

Oy+3 = 4(x+1)

Oy+1=4(x+3)

Oy-3 = 4(2 - 1)

Answers

Answer:

The answer is y+3 = 4(x+1)

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

So we have

[tex]y + 3 = 4(x + 1)[/tex]

Hope this helps you

RJ solves a math problem on the whiteboard using the Powers of Products Property. Is his answer correct? Explain.

6^3 * 7^3 = 42^3

Select the correct answer.

a:
Yes, because (6*7)^3 is 42^3
b:
No, because 6^3 * 7^3 = 42^6
c:
No because 6^3 * 7^ 3 = 42^9
d:
No, because 6 * 7 = 42

Answers

It’s A. Since every aspect of that is multiplication, you can change around how you write it such as (6*7)^3. 6*7 is 42, and 42^3 is the exact same as 42^3

Answer:

Its A

Step-by-step explanation:

Because they have the same answer. <3

y − 3x = 4 slope intercept form plsssssssss

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

The slope-intercept form of a line is y = mx + b. We add - 3x to 4 to isolate the y.

y= 3x+4. add 3x to both sides to get 3x on the right side, leaving y by itself.

find the sum of the first 25 multiples of 10.

Answers

Answer:

Step-by-step explanation: So the first 25 multiples of 10 are ,

10,10,10,10 ect, to 25 the sum of all of the numbers is 250 i hope this helped!!!

Answer:

3250

Step-by-step explanation:

First 25 multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155

21 + 22 + 23 + 24 + 25 = 115

55 + 155 = 210

210 + 115 = 325

325 x 10 = 3250

Hope this helped!

plz help i attached a photo

Answers

x= 2/6 y= 6/10 z= 9/4 pretty sure

Which is the graph of the system y < 3x + 4 and y < 3x - 2

Answers

Answer:

C

Step-by-step explanation:

Answer:

It’s C

Step-by-step explanation:

trust

PLEASE HELP

Norton started driving at 9 am by noon he had traveled 162 mi what was his average Speed?

Answers

18 mi/ph because 162 divided by 9 is 18.

Answer:

54 mph

Step-by-step explanation:

Noon is at 12:00 so if he started at 9:00 he would have droven 3 hours and 162 divided by 3 = 54.

A piece of wood 6 m 20 cm long is marked off into 0.1 m lengths.
How many 0.1 m lengths are there?

Answers

Answer:

Your Correct answer is 60.2

Step-by-step explanation:

Well, we're solving for how many 0.1m lengths there are in 6m 20cm, there are (60.2) 0.1m lengths.

A rectangular pentagon with side lengths of l. A rectangle with a length of l + 10 and a width of l.
A regular pentagon and rectangle have the same perimeter. The length of the rectangle and the side of the pentagon are equal. The width is 10 more than the length. Write an equation that describes the scenario.
pentagon’s perimeter:
rectangle’s perimeter:
scenario’s equation:

Answers

Answer:

Pentagon's perimeter: 5I ; (choice 2)

Rectangle's perimeter: 2I + 2 (I + 10) ; (choice 4)

Scenario's equation: 5I = 2I + 2 (I + 10) ; (choice 4)

Step-by-step explanation:

I hope this helped! :)

Answer:

Pentagon's perimeter: 5I ; (choice 2)

Rectangle's perimeter: 2I + 2 (I + 10) ; (choice 4)

Scenario's equation: 5I = 2I + 2 (I + 10) ; (choice 4)

Step-by-step explanation:

TV−→− bisects ∠STU, m∠STV=(14x+8)∘, and m∠UTV=(x+2)∘. Find m∠STU

Answers

Answer:

Since TV bisects STU, m∠STV and m∠UTV are equal

14x+8 = x+2

13x+8 = 2

13x = -6

x = -6/13 or -0.46

The measure of m∠STU is 40/13 degrees

A point that bisects a line divides the line into two equal parts

If TV bisects  ∠STU and  ∠UTV, then;

∠STU =  ∠STV+  ∠UTV ∠STV=  ∠UTV

Given the following

m∠STV=(14x+8)∘

m∠UTV=(x+2)∘

Substitute the given values into the formula and calculate m∠STU

14x + 8 = x+ 2

14x - x = 2 - 8

13x = -6

x = -6/13

Get m∠STV

m∠STU = 14x+8 + x + 2

m∠STU = 15x + 10

m∠STU = 15(-6/13) + 10

m∠STU = -90/13 + 10

m∠STU = 40/13

Hence the measure of m∠STU is 40/13 degrees

Learn more here https://brainly.com/question/22883501

HELP HAVING BAD DAY
Find the ratio a:b if it is given that: a 3a=8b

Answers

Answer:see answers below

Step-by-step explanation:Slope=

2.000

0.750

=0.375

a−intercept=

3

0

=0.00000

b−intercept=

−8

0

=−0.00000

PLEASE HELP I NEED THIS NOW PLEASE I WILL MARK BRAINLIST!! Look at the image above to solve please

Answers

Answer:
y+119=180( being straight angle)
y=180-119
y=61
Then,
5x+11=y(being corresponding angle)
5x+11=61
5x=61-11
5x=50
x=10

What is the mean of the data set: 17,13,18,20,17,15,12

Answers

Answer:

16

Step-by-step explanation:

PLS HELP ME ASAP I'LL GIVE BRAINLYEST

Answers

I think you do 1 1/4 divided by 20 i’m not sure sorry if it’s wrong

what is the number of significant figures in 0.502​

Answers

What ?! What’s the picture

geometry! help pls asap

Answers

i believe the answer is A  sry if im wrong

Answer:

C

Step-by-step explanation:

will be your answer

7k-10=-8-4(k+6)
Helpp

Answers

Answer:

k=-2

Step-by-step explanation:

7k-10=-8-4(k+6)

7k-10=-8-4k-24

7k-10=-32-4k

7k-10=-32-4k

11k-10=-32

11k=-22

k=-2

Step-by-step explanation:

7k-10= -8-4(k+6)

7k-10= -8-4k_24

7k+4k= -8-24+10

11k= -22

k= -22/11

k= -2

Please Help!!
Thanks!!

Answers

Answer:

a) 18x+9x+4x+16

b) 41x+16

Cuales son los factores de 210​

Answers

Answer:

Hola otra vezzz xd

aqui esta otra foto hope it helpss

Step-by-step explanation:

Factores de 210:

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

¡Espero haber ayudado!

Are these two triangles similar???????!!!!!!! PLEASE HELP! I WILL GIVE BRAINILST AND MANY POINTS!

Answers

Answer:

yes the blue one is bigger but the green one is just smaller but if you multiply the sides by two it would be the same size so yeah they are similar

Step-by-step explanation:

Answer:

It's called Dilation when a triangle is the similar but only smaller, but as he said above, multiply the numbers by 2, you can't if they aren't numbers but if you do then it'll be the same size.

Step-by-step explanation:

Slope = - 3/5, y-intercept = 5

Answers

Answer:

y = - [tex]\frac{3}{5}[/tex] x + 5

Step-by-step explanation:

Assuming you require an equation of the line.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{3}{5}[/tex] and c = 5, thus

y = - [tex]\frac{3}{5}[/tex] x + 5 ← equation of line

Which transformation has been applied?

Answers

I think it’s going to be reflection but I don’t know which one it is :/

Answer:

Its C

Step-by-step explanation:

Can you guys PLZ answer this question really fast

Answers

Answer:

5*10^-7

Step-by-step explanation:

Allen's score in a video game was changed by −55 points because he missed some targets. He got −11 points for each missed target. How many targets did he miss?

Answers

Answer:

Allen missed 5 targets.

Step-by-step explanation:

You divide -55 by -11 to find how many targets he missed. But when you divide, you have to remember that a negative divided by a negative is a positive, so the answer will be postitive.

-55/-11=5

After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows. P(soil | high-quality oil) = 0.20 P(soil | medium-quality oil) = 0.80 P(soil | no oil) = 0.20 How should the firm interpret the soil test? The probability of finding oil is good. Given the probability of finding good soil, the oil company is more likely to find oil. What are the revised probabilities?

Answers

Answer:

The revised probabilities are;

The probability of finding soil with oil  = 0.8  

The probability of finding soil with good oil = 0.16

The probability of finding medium quality oil =  0.64

Step-by-step explanation:

The given probability of finding soil with high quality oil, P(QO) = 0.20

The probability of finding soil with medium-quality oil, P(OM) = 0.80

The probability of finding soil with no oil, P(ON) = 0.2

Therefore, given that the probability of finding soil with no oil = 0.2, we have;

The probability of finding soil with oil, P(OP) = 1 - the probability of finding soil with no oil

P(OP) = 1 - 0.2 = 0.8

Which gives;

The probability, P(FG) of finding soil with oil and that the oil is good is given as follows;

P(FG) = P(QO) × P(OP) = 0.2 × 0.8 = 0.16

The probability of finding good oil = 0.16

Similarly;

The probability of finding medium quality oil P(FM) =  P(OM) × P(OP) = 0.8 × 0.8 = 0.64

Which gives the revised probability as follows;

The probability of finding soil with oil, P(OP) = 0.8  

The probability of finding soil with good oil, P(FG) = 0.16

The probability of finding medium quality oil, P(FM) =  0.64.                

1 pizza can feed 4 people. How much pizza would be needed to feed 18 people?

Answers

Answer:

5

Step-by-step explanation:

1 pizza feeds 4

We need to feed 18

18/4 = 4.5

You can have a partial pizza, so you need 5 pizzas to feed 18 people.

Which equation represents the graphed line?

Answers

Answer:

A.

Hope this helps!!!!!!!

is 5.67 A)rational B)Irrational C)whole D) natural E)integer

Answers

Rational it stops and repeats

below are two parallel lines with a third line intersecting them.

Answers

44+44= 88 360-88= 272 272/2= 136
136 is your answer. you can also see that 44 degrees is on a straight line so you can do 180 ( because a straight line is 180 degrees) minus 44 which also gives you 136

[tex](7y + 5) - (8y - 6)[/tex]

Answers

Answer:

7y + 5 - 8y + 6

-y + 11

Step-by-step explanation:

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