Write a linear function for each line that relates to y to x

Write A Linear Function For Each Line That Relates To Y To X

Answers

Answer 1

Answer:

Please check the complete explanation below.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

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

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

                                       ANALYZING TABLE 1

Part A)

Given table 1

x           0            1              2            3

y           1             3              5            7

From table 1, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 1

Thus, the y-intercept is (0, 1).

From the graph, it is clear that the line W has a y-intercept (0, 1).

Therefore, table 1 represents the line W.

Part B)

Taking two points (0, 1) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-1 / 1-0 = 2/1 = 2

now substituting m = 2, and b = 1 in the slope-intercept form

y = mx+b

y = 2x+1

Thus, table 1 represents the line W with the equation line y = 2x+1

                                  ANALYZING TABLE 2

Part A)

Given table 2

x           0            1              2            3

y           0             3             6            9

From table 2, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 0

Thus, the y-intercept (0, 0).

From the graph, it is clear that line F has a y-intercept (0, 0).

Therefore, table 2 represents the line F.

Part B)

Taking two points (0, 0) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-0 / 1-0 = 3/1 = 3

now substituting m = 3, and b = 0 in the slope-intercept form

y = mx+b

y = 3x+0

y = 3x

Thus, table 2 represents the line F with the equation y = 3x

                                    ANALYZING TABLE 3

Part A)

Given table 1

x           0            1              2            3

y           2             3             4            5

From table 3, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 0

Thus, the y-intercept (0, 2).

From the graph, it is clear that line N has a y-intercept (0, 2).

Therefore, table 3 represents line N.

Part B)

Taking two points (0, 2) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-2 / 1-0 = 1/1 = 1

now substituting m = 1, and b = 2 in the slope-intercept form

y = mx+b

y = (1)x+2

y = x+2

Thus, table 2 represents the line N with the equation y = x+2


Related Questions

20% tip of the cost of a d dollar dinner

Answers

Answer: 0.2d

Step-by-step explanation: For calculating the 20% tip of the cost in dollars of a dinner, simply multiply 0.2 by the cost of dollars of a dinner. 0.2 represents 20% and by using the variable "d" to represent the cost of the dinner, you can write this equation: 0.2d.

The Ulis family spends $1,632 a year for gym memberships. How much does the family spend in 4 years?

Enter your answer in the box.

Help me please.

Answers

1,632 * 4 = 6,528
Solution: $6,528 for 4 years

Simplify the following expression.
?
9t2 + 7t + 4 - 2t2 + 5t

Answers

Answer:

I'm assuming the 2 after 9t and -2t means squared.

7t² + 12t + 4

Step-by-step explanation:

To simplify the expression we should combine like terms. Like terms are terms with same variables and powers.

Let's start with 9t² and -2t² since they have the same variable and power of t². To combine them we should add them together which would be: 9t² + (-2t²) = 9t² - 2t² = 7t²

Next we can combine 7t and 5t since they have the same variable and power of t. 7t + 5t = 12t

4 doesn't have any like terms so we leave it as it is.

Lastly we add all of our terms: 7t² + 12t + 4

Dec 23, 8:45:08 PM
Find three consecutive POSITIVE ODD integers such that when you multiply the first
and third the result is nine less than six times the second integer.

Answers

Answer:

3, 5, 7

Step-by-step explanation:

Let the first of the three positive consecutive odd numbers be [tex]x[/tex].

Now, the second odd number = [tex]x+2\\[/tex]

And, the third odd number = [tex]x+4[/tex]

As per question statement, the multiplication of the first and third odd number is 9 lesser than the 6 times the second integer.

Writing the equation, we get:

[tex]x(x+4) = 6(x+2)-9\\\Rightarrow x^{2} +4x=6x+12-9\\\Rightarrow x^{2} +4x-6x = 3\\\Rightarrow x^{2} -2x - 3=0\\\text{Solving the above equation by factorization method:}\\\Rightarrow x^{2} -3x +x - 3=0\\\Rightarrow x(x -3) + 1(x - 3)=0\\\Rightarrow (x -3) (x+ 1)=0\\\Rightarrow x =3, -1[/tex]

As, we got a quadratic equation, so we have two solutions here.

One is positive integer and other one is negative.

So, solution is [tex]x=3[/tex]

First number is 3.

Second number is 3 + 2 = 5

Third number is 5 + 2 = 7

Alexandra has 4 bags of beads. Some of the bags contain 3 purple beads and the rest contain 6 indigo beads. If Alexandra has 21 beads in all, how many bags of each color bead does Alexandra have?
Please help me fast !!

Answers

Answer:

1 bag of 3 purple beads and 3 bags of 6 indigo beads

Step-by-step explanation:

3 + 18 = 21

HELP ME PLS AKANKANWKWN

Answers

Answer:

The answer is C, the third one.

In ΔUVW, w = 9.7 cm, ∠W=110° and ∠U=42°. Find the length of u, to the nearest 10th of a centimeter

Answers

9514 1404 393

Answer:

  6.9 cm

Step-by-step explanation:

The law of sines is useful here:

  u/sin(U) = w/sin(W)

  u = w · sin(U)/sin(W) = (9.7 cm)sin(42°)/sin(110°)

  u ≈ 6.9 cm

Answer:

6.9

Step-by-step explanation:

guys help I am stuck on this question I have to send my winter holiday

48 girls and 64 boys belong to the Twelve Mile Coulee School choir. The choir teacher plans to arrange the students into equal rows (the same number of students in each row). Only girls or boys will be in each row. What is the greatest number of students that could be in each row?

Answers

Answer:

16

Step-by-step explanation:

To find the greatest number of students that could be in each row, we need to find their greatest common factor. We can list out their prime factors first.

48: 2 × 2 × 2 × 2 × 3

64: 2 × 2 × 2 × 2 × 2 × 2

Here, their common prime factors are 2 × 2 × 2 × 2 which is 16. Thus, the greatest number of students that could be in each row is 16.

No. of rows in the girls = 48 ÷ 16

                                      = 3

No. of rows in the boys = 64 ÷ 16

                                       = 4

Answer:

Step-by-step explanation:

I believe for this question you need to find the HCF (or GCF you may say) of 48 and 64

HCF - Highest Common Factor

GCF - Greatest common Factor

First, prime factorize 48 and 64 (write them in the product of their prime numbers)

64 = 2 × 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

Choose common prime factors (all of them that are common)

on observation, there is 2 × 2 × 2 × 2 common between both of them

which is 16.

So 16 maximum people in each row

Also additional thing, it's fine if some questions were wrong, try and attempt it yourself first before asking it from someone. Getting used to ask someone is going to be troublesome in the long run. If you get stuck, then get help from your teachers (unless the teacher is unco-operative) in which case, seek help from your friends, or talk to your parents about it if you freely share stuff with them.

But anyway, hope that helps ^

Why do people say that black ops 2 is the best? I will give brainlest

Answers

Answer:

They say it because the wanna be different from others lol

Please give me brainliest

Step-by-step explanation:

Answer:

people say that black ops 2 is the best because of the replayabilty and its story line not so much zombies tho

1 hundred 8 million 4 hundred 4 thousand translate

Answers

Answer:

800,004,500

Step-by-step explanation:

18. The sum of 'l6, /3, and 'Is is
OA. 12, or'/3-
B. "12.
c.1/12, or 1'/12-
OD./72, or'/36-

Answers

Answer:

wn work

Step-by-step explanation:

Paul paid $7 per hour to rent a bicycle. Wilson paid $9 per hour to rent a bicycle. If they both rent bicycles for 3 hours, how much MORE will Wilson pay?

Answers

Answer:

6

Step-by-step explanation:

The difference in cost / hour = 9 - 7

9 - 7 = 2

They both take the bikes for 3 hours.

Difference * time = 2 * 3 = 6 dollars

Wilson pays 6 dollars more.

Answer:

,$48

Step-by-step explanation:

7×3=21

9×3=27

27-21=6

what is 9/4-2(4x+4/3)+5/2x?

Answers

9514 1404 393

Answer:

  -11/2x -5/12

Step-by-step explanation:

Eliminate parentheses and collect terms.

  9/4 -2(4x +4/3) +5/2x . . . . given

  = 9/4 -8x -8/3 +5/2x

  = (-16/2 +5/2)x +27/12 -32/12 . . . . use common denominators

  = -11/2x -5/12

The diagram below shows the start and finish diagrams of a construction using a compass and straightedge.
Start
Finish
G
Which of the following statements are true about this construction? Select all that apply.
G
O
O
O
O
O
The construction is of a line perpendicular to FG from a point not on FG
The first step of the construction is to draw a circle with center X.
The first step of the construction is to draw the perpendicular bisector of wY
The second step of the construction is to draw the perpendicular bisector of FG.
The second step of the construction is to draw the perpendicular bisector of VwY.q

Answers

Answer:

Choices 1, 2, 4

Step-by-step explanation:

i took the test

Please do nowwww im clueless

Answers

Answer:

just put in 50,tab,0,tab,200,tab,400,tab,100,tab,0.

Step-by-step explanation:

tab is the key on your keyboard.

Explain how you know that segment de is not parallel to segment bc

Answers

Because there is two right triangles

Line segments DE and BC are not parallel because they divide the opposite side of the triangle at different ratios.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, Line segment AD is 4 units and line segment DB is 2 units.

∴ Line segment AD is (4/2) = 2 times greater.

On the other hand line segment, AE is 9 units and line segment EC is 5 units.

∴ Line segment AE is (9/5) = 1.8  times greater.

Line segments BC and DE should have been parallel if they had the same ratios.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2

The pencils produced by the machine are unsharpened, so two employees in the factory need to sharpen each pencil by hand. Employee A can sharpen 8 pencils per minute and Employee B can sharpen 5 pencils per minute. Employee A breaks 10% of the pencils they sharpen and Employee B breaks 15% of the pencils they sharpen. What is the probability that a broken pencil was broken by Employee A

Answers

Answer:

0.4156

Step-by-step explanation:

Given that:

Employer A:

8 pencils per minute

Probability of breaking a pencil = p(A) = 10%

Employer B:

5 pencils per minute

Probability of breaking a pencil = p(B) = 15%

Hence,

Probability of breaking a pencil:

P(breaking a pencil) = (P(A breaks pencil) * P(A)) + (p(B breaks pencil) * p(B))

P(A breaks pencil) = 0.1 * 8 = 0.8

P(B breaks pencil) = 0.15 * 5 = 0.75

P(breaking a pencil) = (0.8 * 0.1) + (0.75 * 0.15) = 0.1925

Hence, probability that a broken pencil was broken by employer A will be :

(P(A breaks pencil) * P(A)) / probability of breaking a pencil

= (0.8 * 0.1) / 0.1925

= 0.08 / 0.1925

= 0.4155844

= 0.4156

Which of the following correctly describes the end behavior of the polynomial
function, f(x) = -3x4 +2x2 - x?
HELPPPPPP ASAAP

Answers

Answer:

A. Both ends go down.

General Formulas and Concepts:

Algebra II

End behavior - what the y-values are approaching as x approaches negative infinity or infinity

Step-by-step explanation:

If we graph the function, we can see that when x goes to -∞, y also goes to -∞.

We also see that when x goes to ∞, y still goes to -∞.

Therefore, both ends of the graph would head towards -∞, making A. the correct answer choice.

Answer:Both ends go down

Step-by-step explanation:

PLEASE HELP ASAP WILL GIVE BRAINLEIST

Answers

y=9

x=12

hope its right pls do mark me the brainleist

help??
Anyone??
need it asap
8th grade math

Answers

Answer:

8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

(m - 8)² × n

m = 10

n = 2

Step 2: Evaluate

Substitute:                          (10 - 8)² × 2(Parenthesis) Subtract:      2² × 2Exponents:                         4 × 2Multiply:                              8

Answer:

8 is the answer

Step-by-step explanation:

cause (10-8)=2 then 2x2=4 then 4x2=8

sorry if i did ths wrong i am only in 7th grade

Examine the figure below. Determine which of the following angel measures are correct . Select all that apply

Answers

Answer:

bhnnjn

Step-by-step explanation:

What is the solution to the equation 5 +b= 18? 1​

Answers

The answer is 13......

Answer:

b = 13

Step-by-step explanation:

5 + b = 18

-5.        -5.     -5 on both sides to get b by itself

b = 13

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

By multiplying all x values by a -, you are reflecting across the y axis

give thanks by clicking heart :)

who can help me solve this problem?​

Answers

Answer:

30, 28, 34, -6, 44

Step-by-step explanation:

NEED HELP WITH LAST QUESTION 2). IM IN ZOOM PLEASE HELP <3 WILL GIFT 421 POINTS

Answers

Answer:

Equation: x° + x° + (x + 10)° + 59° = 360°

Solution: x = 97

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Therefore:

x° + x° + (x + 10)° + 59° = 360°

Solve for x

x + x + x + 10 + 59 = 360

Add like terms

3x + 69 = 360

Subtract 69 from each side

3x = 360 - 69

3x = 291

Divide both sides by 3

x = 97

What is the rate change of the linear function that has a graph that passes through the points (2,9) (-1,3)

Answers

Slope: (y2-y1)/(x2-x1)
(3-9)/(-1-2) = -6/-3 = 2
The rate of change is 2

The linear function is y = 3x + 6. Then the rate of change of the linear function will be 3.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The linear equation that is passing through the points  (2,9) and (-1,3).

Then we have

y - 3 = [(3 - 9)(-1 - 2)] (x + 1)

y - 3 = (-6) / (-2) (x + 1)

y - 3 = 3x + 3

    y = 3x + 6

Then the rate of change of the linear function will be

y' = 3

More about the differentiation link is given below.

https://brainly.com/question/24062595

#SPJ2

IS THIS CORRECT IF NOT LET ME KNOW PLEASE I NEED THIS!!!

Answers

Answer:I believe it is at least that is what I would

Step-by-step explanation:

I’m guessing it’s correct

6/8 = x/12. Pls help I’m failing math

Answers

Answer:

x=9

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

you want to get x alone and so you need to do the opposite of dividing which is multiplying, so you multiply each side by 12.

6/ 8 = x / 12

* 12      *12

6*12/ 8 = x            [tex]\frac{6*12}{8}[/tex]            

72/8=x                    [tex]\frac{72}{8}[/tex]

9=x

Hope this helped!

Solve the following equation for x: -3(x-2)=12










I need help!!

Answers

Answer:

x = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-3(x - 2) = 12

Step 2: Solve for x

Divide -3 on both sides:                    x - 2 = -4Add 2 on both sides:                         x = -2
Answer with steps =
-3x+6=12
-3x=6
x=-2

I tried to answer this one and got it wrong the question is “find the measure of each angle indicates”

Answers

Answer:

48

Step-by-step explanation:

Hi!

Remember, the sum of the angles on a straight angle is 180 degrees. Additionally, the sum of the measures of a triangle are 180 degrees.

Now, let's label the angles of the given triangle.

<DCE = y and <CDE=x

x+y+92=180

x+y= 88

Now, y+140 = 180 --> y= 40

x+40 = 88

x=48

The answer is 48 degrees.

Hope this is correct! Have a good day!

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