Construct a linear equation for the linear data presented in the table.
A) y = x + 3
B) y = 2x + 3
C) y=x-3
D) y = 2x - 3

 Construct A Linear Equation For The Linear Data Presented In The Table.A) Y = X + 3B) Y = 2x + 3C) Y=x-3D)

Answers

Answer 1

Answer: A) y = x + 3

Step-by-step explanation:

Use two points given in the table and plug them into slope-intercept form y = mx + b.

In order to solve for m, the slope, by plugging them into  [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex].

(0, 3) (2, 5)

[tex]\frac{5-3}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Use one of the points and plug it into the slope-intercept form y = mx + b.

3 = 1(0) + b

3 = 0 + b

3 = b

The linear equation to the table would be y = x + 3.


Related Questions

PlEase help you can edit the photo

Answers

Answer:

The ribbon costs 1.25 per meter

Step-by-step explanation:

5/4=1.25

Instruction
Active
Constructing Parallel Lines through a Given Point
ty
Construct a line through P that is parallel
to the given line by following these steps.
1. Construct a line through points
Q and P

Answers

make two pair of line segment of PQ andQP and construct use of a scale and the parallel line give the point name

Solve for w.
16w–w–12w–2w=13
w=

Answers

Answer:

w = win

Step-by-step explanation:

w=13

Answer:

w = 13

Step-by-step explanation:

16w - w = 15w

15w - 12w = 3w

3w - 2w = w

w = 13

Abby has $32 to spend on party supplies. After buying 9 packs of noisemakers, she has $20 left.


How much did each pack of noisemakers cost?


A

$0.75


B

$1.15


C

$1.33


D

$12.00

Answers

Answer:

$1.33

Step-by-step explanation:

32-20 = 12

12/9 = $1.33

what is 4a-6b+9c + 5a+9b-3c

Answers

Answer:

9a + 3b + 6c

Step-by-step explanation:

4a-6b+9c + 5a+9b-3c

4a + (-6b) + 9c + 5a + 9b + (-3c)

(4a + 5a) + (-6b+9b) + (9c-3c)

9a + 3b + 6c

Answer:

the person below is correct I believe

Step-by-step explanation:

hope this helped have a good rest of your night :)❤

Evaluate y=(-2)(x) + 4 when x=(-3). ​

Answers

Answer:

y = 10

Step-by-step explanation:

y = (-2)(x) + 4

y = (-2)(-3) + 4

y = 6 + 4

y = 10

Find the area of the square below when it is increased by a scale factor of 3

Answers

Answer:

To find the area of a square with the scale factor of 3, you multiply the side lengths by 3, so (3*L)*(3*W)= Area of your square.

Step-by-step explanation: I hope that this helps, ask questions in the comments below.(if you have any).

The area of the imagined square will be 90 units² by increased with a scale factor of 3.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

As per the imagined square with dimensions of 10 units.

Applied the scale factor 3 in the length of the square(since it has only one dimension).

10 x 3 = 30 units.

Thus, each side of the square will be 30 units in length.

Hence "By adding a scale factor of 3, the envisioned square's area will expand to 90 units²".

To learn more about scale factors,

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Original Price of a computer $2,600.00 Tax:6.4%

Answers

Answer:

The Sales Tax total would be $166.40
Add that with the original price,

Total Price is 2766.40

what’s the correct answer??? i will give brainlist

Answers

Answer:

yamete kudesai

Step-by-step explanation:

Answer:

I believe it's 2/4.

Step-by-step explanation:

Let me know if it's incorrect.

Ellen solved the equation x2−5=59 using the following steps.

Review her work carefully, and then follow the instructions.

Line 1: x2−5=59
Line 2: x2−5+5=59+5
Line 3: x2=64
Line 4: x=8
Which statement identifies a mistake Ellen made, if any?

Answers

Answer:

c

Step-by-step explanation:

In Line 4, she forgot to take the negative square root, because squaring both 8 and −8 equals 64.

What is the answer =2^3(10-7)/3*7?

Answers

The answer is 56
Hope it helps:)

Answer:

the ansewer is 56

Step-by-step explanation:

by appling bodmas rule which means if such type of operation apper in one question we work it step by step first bracket then division next multiplication then addition finaly substruction

2^3(10-7)/3*7(10-7)=32^3(3)/3*73/3=12^3*1*72^3=88*1*7=8*7=56

A teacher printed 730 copies how long did it take to print

Answers

Answer:

Can you provide how long it took to print per copy

Step-by-step explanation:

Answer:

it will take him 50 min because their are 730 and that is lot so it will take him 50min

Can you divide 45x676787? Q from khan academy Thanks!

Answers

Answer:

15227707.5

More info

Step-by-step explanation:

45x676787 the divide it by 2

A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain two or more chocolate chips

Answers

Answer 12

Step-by-step explanation:

A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has identical packaging, the selection will be random. What is the probability that (a) all four units are good, (b) exactly two units are good, and (c) at least two units are good?

 I hope that helped?

What is the quotient of 0 and 15?

15

-15

0

Undefined

Answers

ANSWER :

it's 0

Step-by-step explanation:

0 / 15 = 0 + 0/15 = 0

Undefined, I used a calculator

How would I simplify these expressions? (Pre-Calculus) I know that you are supposed to multiply all of these to do so, but every time I do that, I still get the wrong answer. My textbook says that these are the answers:
19: -15 + 8i
21: 8 + 6i
23: 34
25: 85
Could anyone explain how they got these answers? Mine are way off. Is the book just wrong? In #21, how would 3 times 3 equal 8 in the answer? Am I missing something?

Answers

Since you have the answers, I'll just show the steps on how to get there.

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

Problem 19

[tex](1+4i)^2\\\\(1+4i)(1+4i)\\\\1*1 + 1*4i + 4i*1 + 4i*4i\\\\1 + 4i + 4i + 16i^2\\\\1 + 4i + 4i + 16(-1)\\\\1 + 4i + 4i-16\\\\(1-16) + (4i+4i)\\\\(1-16) + (4+4)i\\\\-15 + 8i\\\\[/tex]

Keep in mind that [tex]i = \sqrt{-1}[/tex] by definition. Squaring both sides leads to [tex]i^2 = -1[/tex]

In the second step, I used the idea that x^2 = x*x. Right after that, I used the FOIL rule to expand everything out.

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

Problem 21

We could follow the same idea as problem 19, but I'll use a different approach.

[tex](A+B)^2 = A^2+2AB+B^2\\\\(3+i)^2 = 3^2 + 2*3*i + i^2\\\\(3+i)^2 = 9 + 6i - 1\\\\(3+i)^2 = 8 + 6i\\\\[/tex]

The formula on the first line is the perfect square binomial formula.

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

Problem 23

The FOIL rule can be used if you want, but I'll use the difference of squares rule instead.

[tex](m+n)(m-n) = m^2 - n^2\\\\(3+5i)(3-5i) = (3)^2 - (5i)^2\\\\(3+5i)(3-5i) = 9 - 25i^2\\\\(3+5i)(3-5i) = 9 - 25(-1)\\\\(3+5i)(3-5i) = 9 + 25\\\\(3+5i)(3-5i) = 34\\\\[/tex]

It turns out that multiplying any complex number of the form a+bi with its conjugate a-bi will result in a purely real number (that has no imaginary part). More specifically: [tex](a+bi)(a-bi) = a^2+b^2[/tex]

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

Problem 25

We could use the difference of squares rule again, but I'll show a different approach. This time using the distribution rule. The FOIL rule could also be used if you wanted.

[tex](6+7i)(6-7i)\\\\x(6-7i)\\\\6x-7xi\\\\6(x)-7i(x)\\\\6(6+7i)-7i(6+7i)\\\\6(6)+6(7i)-7i(6)-7i(7i)\\\\36+42i-42i-49i^2\\\\36-49(-1)\\\\36+49\\\\85\\\\[/tex]

I used x = 6+7i and the substitution property to help distribute. Lines 3 and 6 are where distribution is applied.

What is (−47)−(−107)=?
please help

Answers

60

Step-by-step explanation:

(-47)-(-107)

(-47)-1(-107)

-47+107

=60

1
4
3
Time (h)
2
.
3
Cars
Washed
6
9
12
a. Proportional?
b. Equation:
C. Number of hours:
3. Cars washed:

Answers

Step-by-step explanation:

Proportional = time/cars washed

= 1/3

no. of hours= 90hours

cars washed = 30 cars washed

Assume that a set of test scores is normally distributed with a mean of 80 and a standard deviation of 10.

Use the​ 68-95-99.7 rule to find the following quantities.

a. The percentage of scores less than 80 is _​%.

Answers

Answer:

I don't know

Step-by-step explanation:

The area of a triangular flower bed in the park has an area of
120 square feet. The base is six feet shorter than three times the height. What are the base and height of the triangle?

Answers

Answer:

b = 24 ft

h = 10 ft

Step-by-step explanation:

120 = ½hb

120 = ½h(3h - 6)

240 = h(3h - 6)

240 = 3h² - 6h

 80 = h² - 2h

    0 = h² - 2h - 80

    0 = (h - 10)(h + 8)

    h = 10 ft or -8 ft

 we ignore -8 as it makes no sense for a triangle side length.

b = 3(10) - 6 = 24 ft

30 POINTS WILL MARK BRANLIEST FOR FIRST REPLY

find x using the pictures below

Answers

The left pic :

[tex]x = 46 \times \cos(70°) [/tex]

[tex]x = 46 \times 0.342[/tex]

[tex]x = 15.732[/tex]

_____________________________________________

The right pic :

[tex] \tan(18°) = \frac{15}{x} \\ [/tex]

[tex]0.325 = \frac{15}{x} \\ [/tex]

Thus :

[tex]x = \frac{15}{0.325} \\ [/tex]

[tex]x = 46.1538[/tex]

There u go ...

Have a great day ❤

A farmer uses two types of fertilizers. A 50lb bag of fertilizer A contains 6 lb of nitrogen and 3lb of phosphorus. A 50 lb bag of fertilizer B contains 4 lb each of nitrogen and phosphorus. The minimum requirements for a field are 480 lb of nitrogen and 240 lb of phosphorus. If a 50lb bag of fertilizer A costs $35 and a 50 lb bag of fertilizer B costs $25 find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. mathematically formulate and state the problem.

Answers

Answer:

Fertilizer A = 20, Fertilizer B = 56

Step-by-step explanation:

Step 1: Set up the equations

Nitrogen: 8x + 5y ≥ 440

Phosphorous: 2x + 5y ≥ 260

Potassium: 4x + 5y ≥ 360

Step 2: Find the vertices

It is easiest to graph the equations to find the vertices. (see attachment).  You can also solve each system of equations to find the intersected points.

The following satisfy the "greater than or equal to" requirement:

(0, 88) → y-intercept of Nitrogen equation

(20, 56) → intersection of Nitrogen and Potassium equations

(50, 32) → intersection of Phosphorous and Potassium

(130, 0) → x-intercept of Potassium

Step 3: Use vertices in cost function C(x) to find the minimum

C(x) = $30x + $20y

(0, 88): $30(0) + $20(88) = $1760

(20, 56): $30(20) + $20(56) = $1720    ← This is the minimum!

(50, 32): $30(50) + $20(32) = $2140

(130, 0): $30(130) + $20(0) = $3900

The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.  

Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.
Leave your answer in the form y=mx+c

Answers

9514 1404 393

Answer:

  y = 2x -5

Step-by-step explanation:

The parallel line will differ only in the value of c. That can be found using the given point.

  y = mx +c

  c = y -mx . . . . . . subtract mx to solve for c

  c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)

The equation of the parallel line is ...

  y = 2x -5

NEED HELP ASAP (WILL GIVD BRAINELST)

Answers

Answer:

5

Step-by-step explanation:

The answer is 60/12 becuase we can simfly both of theese mixed numbers into an improper fraction, wich will be 4/3*15/4. We do the multiplication, and we get 60/12. 60/12 can be simplifed to 5 becuase 60 divided by 12 is 5

Integrate :
[tex]\red{\footnotesize\displaystyle\bf \int cos^3 4x\:\:dx}[/tex]


Answers

Recall the half-angle identity for cosine:

cos²(x) = 1/2 (1 + cos(2x))

Then we can rewrite the integrand as

cos³(4x) = cos(4x) cos²(4x) = 1/2 cos(4x) (1 + cos(8x))

So we have

[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int (\cos(4x) + \cos(4x)\cos(8x)) \, dx[/tex]

Next, recall the cosine product identity,

cos(a) cos(b) = 1/2 (cos(a - b) + cos(a + b))

so that the integral is equivalent to

[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int \cos(4x) \, dx + \frac14 \int (\cos(4x - 8x) + \cos(4x + 8x)) \, dx[/tex]

[tex]\displaystyle \int \cos^3(4x) \, dx = \frac34 \int \cos(4x) \, dx + \frac14 \int \cos(12x) \, dx[/tex]

Computing the rest is trivial:

[tex]\displaystyle \int \cos^3(4x) \, dx = \boxed{\frac3{16} \sin(4x) + \frac1{48} \sin(4x) + C}[/tex]

1. Tim's phone service charges $27.42 plus an additional $0.18 for each text message sent per
month. If Tim's phone bill was $31.92, how many text messages did he send that months

Answers

Answer:

25 text messages

Step-by-step explanation:

First of all you need to find how much money was added to his phone bill. 31.92-27.42 would equal 4.5. Then you would divide that number by 0.18 to find out the total text messages, which is 25

25 text messages is Toms phone bill

There are 30 marbles in a bag. Write an expression for the number of marbles in the bag when 5 marbles are added ​

Answers

Answer:

i will clear you.

Step-by-step explanation:

Given:-

Marbels we have =30

when we add marbels =5

Now,

or,30+5

Why we often leave radicals as roots without calculating them?

Answers

Answer:

Sometimes it's better to leave them as roots because it's easier sometimes to solve problems with them still as roots

Answer:

We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.

Step-by-step explanation:

Why do we do Radicals in the first place?

Radicals are used to write the square root or the nth root of a number. We sometimes leave specific numbers (non-perfect squares) as a radical because the output would be infinity

Example:

[tex]\sqrt45[/tex] is not a perfect square, it lies between [tex]\sqrt36[/tex]  and [tex]\sqrt49[/tex]

This means the number lies in between 6 and 7

The true root of 45 is irrational. Recall that irrational numbers are numbers of non-perfect squares. [tex]\sqrt45[/tex] = 6.7082039.......

Simplify:

[tex]\sqrt 45 = \sqrt 9 * \sqrt 5\\[/tex]

[tex]= \sqrt3^2 * \sqrt 5\\\\ \\= 3\sqrt5[/tex]

We choose not to pursue simplifying this because  [tex]\sqrt5[/tex]  is irrational (square root of a non-perfect square)

Summary:

We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.

-Chetan K

Which equations are true? Select all that apply.

A.
66
÷
10
1
=
6
.
6
B.
660
÷
10
0
=
66
C.
6
,
600
÷
1
,
000
=
0
.
66
D.
0
.
66
÷
10
1
=
0
.
066
E.
6
÷
100
=
0
.
06

Answers

Answer:

a b d e

Step-by-step explanation:

i just took the test and got a hundred

Equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06​.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Make sure your equation is correct by comparing the values on either side of the equals sign to create a true equation. A true equation must have the same numerical values on both sides of the "=" sign. One real equation is, for instance, 9 = 9. A valid equation is 5 + 4 = 9.

As a result, the true equations are,

66: 10 = 6.6

660: 10° = 66

6: 100 = 0.06​

Thus, equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06​.

Learn more about the equation here,

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Which inequality is graphed below?


A- y<1/4x-1

B- y>1/4x-1

C- y<_ 1/4x-1

D- y>_ 1/4x-1

Answers

Step-by-step explanation:

It is represented by ,

=> y ≥ 1/4x -1

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group the first two terms by underline the first two terms 16x^3-4x^2-4x+1 X(squared) + 16x +60=0 Solving quadric equations by factorising what is the difference of 256,805+136,667 Where is the incorrect pronoun, although cougars generally prefer to live in areas with dense vegetation it can also be found in wide, open spaces. 3. Rewrite the statement, "A dog is a puppy if and only if it is young," as a conditional and its converse.O A. Conditional: A dog is a puppy. Converse: A dog is young.O B. Conditional: A puppy is a dog. Converse: A puppy is young.OC. Conditional: If a puppy is young, then it is a dog. Converse: If a puppy is a dog, then it is young.O D. Conditional: If a dog is young, then it is a puppy. Converse: If a dog is a puppy, then it is young. THE FIRST ONE TO GET IT CORRECT GETS 100 POINTS PLEASE The effect on the accounting equation of declaring a dividend that will be paid at a later date includes a(n): Using the solution to a similar, earlier problem to help you solve a new problem is known as the ____________________ to problem solving. What was the goal of the Equal Rights Amendment?To end divorce rights for womenTo grant a womans right to privacyTo end state and federal discrimination lawsTo ensure abortion rights for women Simplify this equation How do you write 8 whole and 1/2 + whole 7 2/3 as a mixed number Listed below are four activities. In which activity is friction useful?a. climbing up a cliffb. running on the groundc. opening a bottle d. catching a ball what are the aims and objectives of nedlac How would you describe the influence of Mesopotamia's physical geography on the region? help I don't know what to say The Kentucky Bluegrass region is highland. True or false she hid the cookies ___ the cupboard Solve for x and thank you At first , what are Helens feelings when she felt the broken pieces of her new doll There are 10 pink cars, 12 blue cars and 8 yellow cars in the parking lot. What is the ratio of yellow cars to the total number of cars in Ericas toy box?Show work4: 1515 : 45 : 42 : 3