What is y-3=1/4(x-2) in slope intercept form

Answers

Answer 1

Answer:

y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

given

y - 3 = [tex]\frac{1}{4}[/tex] (x - 2 ) ← distribute parenthesis

y - 3 = [tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] ( add 3 to both sides )

y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{5}{2}[/tex] ← in slope- intercept form


Related Questions

What is the solution to the following inequality?
X/-3≤ 3
O A. x ≤ 1
OB. x ≤-9
OC. x≤-9
D. x ≤ 6

Answers

The solution to the x/-3≤ 3 inequality is x ≤ -9.

Define inequality.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison. Inequalities are the name given to certain algebraic mathematical expressions.

Given,

Inequality:

x/-3 ≤ 3

Cross multiplying:

x ≤ 3× -3

x ≤ -9

The solution to the x/-3≤ 3 inequality is x ≤ -9.

To learn more about inequality, visit:

https://brainly.com/question/15064057

#SPJ13

Between which two benchmark fractions is? How do you know?
I ready classroom mathematics grade 5 volume 1

Answers

Answer:

Their Divider

Step-by-step explanation:

1-->1/2+1/2-->1/4+1/4+1/4+1/4-->etc.

Look at the table below. Which number can replace X in the table?
ratios and rates test

Group of answer choices

10

6

8

9

Answers

Answer: 9

Step-by-step explanation:

Each input is multiplied by 5. This means to get x, we need to divide 45 by 5, which is 9.

I need help right now thank you...

Answers

Answer:

1 and 3 equal 126 (vertical angle)

2 and 4 equal 54 (supplemental angles 180-126)

Step-by-step explanation:

Answer:

angle 2: 54 degrees

Angle 3: 126 degrees

Angle 4: 54 degrees

Step-by-step explanation:

since angle 1 is 126 degrees we can find angle 2 since it’s right next to it like that the 2 angles added equal 180 degrees so we just subtract from 180

180-126

Angle 2 is 54 degrees

Since angle 3 is across angle 1 they are equivalent so angle 3 is 126 degrees

Since angle 4 is across angle 2 they are equivalent so angle 4 is 54 degrees

Hopes this helps please mark brainliest

A scientist places 20 mg of bacteria in a culture for an experiment and he finds that the mass of the bacteria triples every day.
a.)Each day that passes, the mass of bacteria in the culture changes by what percent?

Answers

Answer: 300%

Step-by-step explanation:

Multiplying something by 3 is the same as 300% of that number

20 x 3 = 60

60 = 300% x 20

a company’s stock was selling at 35$ a share a month later it was selling at 14$ a share what is the percent loss

Answers

If a company’s stock was selling at 35$ a share a month later it was selling at 14$ a share the percentage loss is 60%

The company's initial share price = $35 per share

The company's new share price = $14 per share

Therefore the share price decreased from $35 to $14,  we have to find the percentage loss

The percentage loss = [(The company's initial share price - The company's new share price) / The company's initial share price ] × 100

Substitute the values in the equation

The percentage loss = [(35-14) / 35] × 100

= (21/35)×100

= 0.6 × 100

= 60%

Hence, if a company’s stock was selling at 35$ a share a month later it was selling at 14$ a share the percentage loss is 60%

Learn more about percentage loss here

brainly.com/question/22882138

#SPJ1

The coordinates of the vertices of a polygon are shown on the graph below.
What is the name of the polygon?
octagon
pentagon
quadrilateral
triangle

Answers

Answer:

Triangle

Step-by-step explanation:

It has three side unlike the others can't have three sides

answer the questions below⬇️⬇️

Answers

The perimeter of the given figure is 19 cm and area is 20 cm².

What is perimeter?

A perimeter could be a closed path that encompasses, surrounds, or outlines either a 2 dimensional form or a one-dimensional length. The perimeter of a circle or an oval is termed its circumference.

Main body:

to find the perimeter we need the measurement of each side.

so length of DE side

DE = A F - BC

DE = 6-2

DE = 4 cm

so perimeter = 6+4+2+4+3

                     = 19 cm

area of figure =  area of rectangle ABCG + GDEF

area = 4*3 + 4*2

area of figure = 12+8

Hence area is 20 cm².

To know more about perimeter click on the link below

https://brainly.com/question/19819849

#SPJ1

y+2=4/5(x+7) in stander form

Answers

Answer:

4x - 5y = -18

Step-by-step explanation:

y+2=4/5(x+7)

5(y + 2) = 5 × 4/5(x + 7)

5y + 10 = 4x + 28

5y = 4x + 18

4x - 5y = -18

Hey guys please help me on this math homework

Answers

The answer is 34

The angle is 90 degrees so first you must see what makes up to 90.

90 - 22 = 68 then with the 68 you divided it by 2 which is 34. Now 34 + 34 + 22 = the angle 90 degrees.

Subtract the expressions. (9.12n − 4.3) − (8 + 13.6n)

Answers

The expression (9.12n 4.3) (8 + 13.6n) are subtracted to yield (12.3 + 4.48n).

What is an algebraic expression?

An algebraic expression is a type of mathematical expression that uses variables and constants.

Algebraic expressions are evaluated by changing the variables to numbers or values.

What in mathematics is a polynomial?

Sums of terms of the form k⋅xⁿ, when k is any variable and n is a positive number, compensate polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video.

Detailed explanation:

We begin by solving the equation = 9.12n - 4.3 - 8 - 13.6n. Next, we remove the comparable terms using the formula = - 12.3 - 4.48n.

Therefore, the simple answer to the formula is -(12.3 + 4.48n).

go visit brainly.com/question/4344214 to learn more about algebraic expression

#SPJ1

"A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?

The rocket reaches its maximum height at second(s) after launch.

(Simplify your answer.)

The maximum height reached by the object is feet.

(Simplify your answer.)"

Answers

The time taken for the rocket to reach its maximum height by virtue of the information given is; 2.25 seconds.

The maximum height reached by the toy rocket is; 88 feet.

What is the maximum height reached by the rocket?

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

Read more on maximum height;

https://brainly.com/question/82347

#SPJ1


Part A
3
A model car is for sale online. Beginning on day one, the owner discounts the price by 5% each day until it sells. On the third day th
If the original price of the model car was $40, how much did the car sell for to the nearest cent?

Answers

The car selling price is $34.30

From the question, we have

Selling price = 40* 95/100*95/100*95/100

=$34.30

The car selling price is $34.30

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

To learn more about multiplication visit: https://brainly.com/question/5992872

#SPJ9

6 times a numbeer is 7 less than the square of that number. find the positive solution?

Answers

The positive solution of the given condition is 7.

What is a quadratic equation?

A second-order polynomial equation with a single variable, x, is known as a quadratic equation.

i.e. [tex]ax^{2} +bx+c=0[/tex]

Let '[tex]x[/tex]' be a number, then

The six-times a number= [tex]6x[/tex]

&, the square of a number= [tex]x^{2}[/tex]

Now, according to the question,

or,  [tex]6x = x^{2} -7[/tex]

or, [tex]x^{2} -6x-7=0[/tex]

or, [tex]x^{2} -7x+x-7=0[/tex]

or, [tex]x(x -7)+1(x-7)=0[/tex]

or, [tex](x -7)(x+1)=0[/tex]

Either, [tex](x -7)=0[/tex]            or, [tex](x+1)=0[/tex]

            [tex]x=7[/tex]                            [tex]x=-1[/tex]

Therefore, the positive solution is x = 7.

To learn more about quadratic equations

https://brainly.com/question/1214333

#SPJ1

Break down 28+5 to make a ten

Answers

There is 10.

28+5= 33

10+18+5=33

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

The equations 66 ÷ 10  = 6.6, 660 ÷ 10 = 66, 0.66 ÷ 10 = 0.066, and 6 ÷ 100 = 0.06 are true. which is the correct answer would be options (A), (B), (D), and (E).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A. 66 ÷ 10  = 6.6

66/10 = 6.6

This is the true equation.

B. 660 ÷ 10 = 66

660/10 = 66

This is the true equation.

C. 6,600 ÷ 1,000 = 0.66

This is not the true equation.

D. 0.66 ÷ 10 = 0.066

This is the true equation.

E. 6 ÷ 100 = 0.06

This is the true equation.

Thus, the equations 66 ÷ 10  = 6.6, 660 ÷ 10 = 66, 0.66 ÷ 10 = 0.066, and 6 ÷ 100 = 0.06 are true.

Hence, the correct answer would be options (A), (B), (D), and (E).

Learn more about the equation here:

brainly.com/question/10413253

#SPJ1

please help asap (math question)

Answers

The exponential function for the given graph having points (2, 16) is f(x) = [tex]4^{x}[/tex].

What is an exponential function?

The exponential function is a type of mathematical function that can be used to determine whether something is increasing or decreasing exponentially, such as population, money, or price. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base.

Exponents are used in exponential functions, as the name indicates.

The given point on the graph is (2, 16).

The given function is f(x) = [tex]a^{x}[/tex]

From graph, (x, y) = (2, 16)

Put the value of (x, y) = (2, 16) in f(x) = [tex]a^{x}[/tex]

16 = a²

a = √16

a = 4

So, the function is

f(x) = [tex]4^{x}[/tex]

To know more about exponential function, visit:

https://brainly.com/question/11154952

#SPJ13

If Jeff has 1 Apple and Jessica has 2 apples how many do they have together

Answers

answer: 3

simply add 1 apple from Jeff and 2 apples from Jessica

(1+3) = ?

Thus, the answer is 3 apples all together

(12x)
D
A
E
(17x - 14)°
В
(2x + 5)°
с

Answers

The value of x for the given equation (2x+5)=(17x-14) will be 19/15.

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.

It is given that,

(2x+5)=(17x-14)

We have to rearrange the equation by applying the arithmetic operation for the like term, the terms which are similar, and we can perform arithmetic operations on it like addition and subtraction.

17x-2x=5+14

15x=19

x=19/15

Thus, the value of x for the given equation (2x+5)=(17x-14) will be 19/15.

The question is incomplete, the complete question is"solve the value of x for the given equation,

(2x+5)=(17x-14)

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ1

Graphing and Solving Inequalities
m-1<-3
a
-4y <-20
5+b>1
++
-18
The last equation keeps dropping off it is -18

Answers

Solutions for the given equalities:

m < - 2

y > 5

b > -4

What is inequality in mathematics?

An inequality in mathematics is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.

The given inequalities are

1)              m - 1 < -3

    Adding 3 on both sides, we get

             m - 1 + 3 < -3 + 3

               m + 2 < 0

    Subtracting 2 from both the side, we get

               m + 2 - 2 < 0 - 2

               m < - 2

The graph of this inequality is shown below

2)             -4y < -20

     Dividing by -4, we get

             y > 5

The graph of this inequality is shown below

3)       5 + b > 1

    Subtracting 1 from both the side, we get

           b + 4 > 0

            b > -4

The graph of this inequality is shown below

4)      y = -18

This is a point on a number line, and it can be shown as

To learn more about inequalities, visit:

brainly.com/question/24372553

#SPJ1

f(x)=6x​/5+3
Find the inverse of f(x)

Answers

f(x) can be written as y

y=6x/8

make x the subject

8y=6x

x= 8y/6

replace y with x and x with f(x)

answer:

f(x)-1 = 8x/6

simplify (8.1)(8.1²)⁴

(8.1)6
(8.1)7
(8.1)8
(8.1)9

Answers

The indices (8.1)(8.1²)⁴ simplifies to 8.1⁹

How to simply indices?

Index is the power or exponent which is raised to a number or a variable. For example, in number 3², 2 is the index of 3. The plural form of index is indices

Given:  (8.1)(8.1²)⁴

To simplify these indices, we are going to apply one of the indices, which is expressed below:  (4³)² = 4³ ˣ ² = 4⁶. We basically multiply the powers

We also need another law which is expressed below:

3⁶ x 3⁴ = 3⁶⁺⁴ = 3¹⁰

If two indices with the same base (in case 3) are being multiplied, you can simplify by taking one of the bases and then add the powers  

Thus, to simplify (8.1)(8.1²)⁴:

(8.1)(8.1²)⁴ = (8.1)(8.1)²ˣ⁴

           =  (8.1)(8.1)⁸

            = 8.1¹ × 8.1⁸

            = 8.1¹⁺⁸

            =   8.1⁹

Therefore, (8.1)(8.1²)⁴ simplifies to 8.1⁹. The 4th option is the answer

Learn more about indices on:

https://brainly.com/question/10339517

#SPJ1

What is the slope of the
function below?
(3, 10)
(0, 1)
Slope = [?]
Simplify your answer.

Answers

Answer:

slope is 3

If you need the formula lmk

Answer: 3

Step-by-step explanation:

calculate the slope by subtracting the y coordinates, subtracting the corresponding x coordinates, then dividing y by x.

(10-1)/(3-0)=9/3=3

Express x and y in terms of trigonometric ratios.

Answers

In terms of trigonometric ratios, x is 6 sin∅ and y is 6 cos∅.

Define trigonometric ratios.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others. Circular trigonometric functions are another name for them. The ratios of an angle in a triangle are a straightforward definition of a function. This means that these trig functions provide the relationship between the angles and sides of a triangle.

Given,

Expressing x and y in terms of trigonometric ratios,

Base = 6

x = Opposite

y = Hypotenuse

x = 6 sin∅

y = 6 cos∅

To learn more about trigonometric ratios, visit:

https://brainly.com/question/25122825

#SPJ13

Find m and c for this line

Y+3x=1

Answers

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Which set has a domain of {2,3} and a range of {5,8}?
Responses
{(2,8), (3,5), (3,0)}
{(3,5), (2,5), (3,8)}
{(8,3), (8,2), (5,2)}
{(5,8), (2,3), (3,5)}

Answers

Answer:

B

Step-by-step explanation:

The domain is the set of x-coordinates.

The range is the set of y-coordinates.

In B, x is only 2 and 3.

In B, y is only 5 and 8.

If the required reserve ratio is 10 percent, currency in circulation is $1,200 billion, checkable deposits are $1,600 billion, and excess reserves total $2,500 billion, then the m1 money multiplier is.

Answers

If the required reserve ratio is 10 percent, currency in circulation is $1,200 billion, checkable deposits are $1,600 billion, and excess reserves total $2,500 billion

Given that

Reserve ratio is 10 percent

Currency in circulation is $1,200 billion

Checkable deposits are $1,600 billion

Excess reserves total $2,500 billion

Here we are calculating M1 measure of money supply

C: Currency in circulation

D: Checkable Deposits

M1=C+D = 1200+1600= 2800

C: Currency in circulation

D: Checkable Deposits

Currency Deposit Ratio= C/D = 1200/1600 = 0.75

ER: Excess Reserves

CD: Checkable Deposits

Excess Reserve Ratio= ER/CD= 2500/1600 = 1.56

The formula for the M1 money multiplier is:

M1 money multiplier= M1/MB

M1 money multiplier= C+D / R+C

M1 money multiplier= C+D / q∗D+ER+C

M1 money multiplier= (1,200+1,600) / (0.1∗1,600+2,500+1,200)

M1 money multiplier= 0.73

To learn more about money multiplier, click here https://brainly.com/question/14182201

#SPJ4

HELP ME PLS




Kevin needs to read 3 novels each month.

Let N be the number of novels Kevin needs to read in M months.


Write an equation relating N to M . Then use this equation to find the number of novels Kevin needs to read in 19 months.

Answers

Kevin needs to read 57 novels in 19 months.

Given,

The number of novels Kevin needs to read in a month = 3

N = Number of novels Kevin needs to read in M months.

Write an equation with M and N.

That is,

Kevin needs to read 3 novels in one month.

So, number of novels, N Kevin reads in M months,  3M = N

The equation is;

3M = N

Now,

The number of months Kevin needs to read the novels = 19

Then,

The number of novels Kevin reads in 19 months;

3M = N

3 × 19 = 57

That is,

Kevin needs to read 57 novels in 19 months.

Learn more about number of novels here;

https://brainly.com/question/29374029

#SPJ1

Using the declining-balance method, complete the table as shown (twice the straight-line rate): (Enter your answers as a whole dollar amount.) Auto $29,000 5 years Residual $2,000 Year Cost Accumulated Depreciation B.O.Y Book Value B.O.Y Depreciation Expense Accumulated Depreciation E.O.Y Book Value E.O.Y 1 A B C D E F 2 G H I J K L 3 M N O P Q R

Answers

Using the double-declining-balance method of depreciation, the completion of the table as shown is as follows:

Year Cost   Accumulated   Book Value  Depreciation Accumulated  Book

                   Depreciation        B.O.Y         Expense      Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $29,000          $0           $29,000         $11,600            $11,600   $17,400

2   $29,000    $11,600          $17,400          $6,960           $18,560  $10,440

3   $29,000   $18,560          $10,440           $4,176           $22,736   $6,264

What is the double-declining-balance method?

The double-declining-balance method is one of the depreciation methods in use, but it allocates more cost to the earlier years of the asset's life.

This depreciation method uses twice the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2.

For each year's depreciation expense, the double rate is applied at the end of the year's balance.

For the last year, the difference between the previous year's ending balance and the residual value is taken as the depreciation expense.

Auto  = $29,000

Estimated useful life = 5 years

Residual = $2,000

Depreciable amount = $27,000 ($29,000 - $2,000)

Straight-line depreciation rate = 20% (100/5)

Double-declining depreciation rate = 40% (20% x 2)

Depreciation Expense:

1st year = $11,600 ($29,000 x 40%)

2nd year = $6,960 ($17,400 x 40%)

3rd year =  $4,176 ($10,440 x 40%)

4th year = $2,506 ($6,264  x 40%)

5th year = $1,758 ($3,758 - $2,000)

Year Cost   Accumulated   Book Value  Depreciation Accumulated  Book

                  Depreciation        B.O.Y         Expense     Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $29,000          $0           $29,000         $11,600            $11,600   $17,400

2   $29,000    $11,600          $17,400          $6,960           $18,560  $10,440

3   $29,000   $18,560          $10,440           $4,176           $22,736   $6,264

4   $29,000  $22,736           $6,264          $2,506           $25,242   $3,758

5  $29,000  $25,242            $3,758           $1,758           $27,000  $2,000

Learn more about the double-declining-balance depreciation method here;

https://brainly.com/question/29335025

#SPJ1

A company that makes​ hair-care products had 2,000 people try a new shampoo. Of the 2,000 ​people, 16 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer:

0.08%

Step-by-step explanation:

Other Questions
a client who takes aluminum hydroxide with magnesium hydroxide (mylanta) frequently for upset stomach, heartburn, and sour stomach is seen regularly in the clinic. the nurse should assess: 1. explain the concept of imputed act. assuming you are the training manager you need to explain to an entry level agent trainee on how imputed act could endanger the whole company. explain the intellectual and idological context in whivh revolutions swept the atlantic world from 1750 to 1900 What occurred as a result of the protest outside the Democratic National Convention in Chicago 1968?A. Students set fire to the Chicago HiltonB. The Mayor of Chicago was murderedC. President Johnson sent in the National GuardD. Police attacked the student protesters**Edit: i believe the answer was D for anyone who was wondering! This was on my midterm so I can't say if i was right or wrong but hope it helps I was in my AP Biology class today...and we were talking about organelles in animals.....and we got onto the topic of hamsters. WHY DO THEY EXPLODE!? What causes that!!!!!????!??!?!? HELP NOW!!! BRAINLIEST + 100 POINTS!! what are some of the borders that divide people while we are still alive? in Common Dust by Georgia Douglas Johnson ExploreA 100-unit-long line is split in half. Half of the line is used to form one large circle.The other half forms two identical smaller circles. Which is larger? Explain grobal and national initiatives on generic and brand name medicine How does fear influence the self morally, ethically, and by the self's everyday decision? The process of setting up the festival requires experience, expertise, and a constant flow of communication among various stakeholders in order to properly coordinate. This is ______ communication, which mcfarland failed at. IXL Help Fast Please! how did global trade transform elite culture Divide 24 in the ratio 1:3 suppose you are working and you keep checking your phone, occasionally getting a text from a friend. your behavior is most likely on what kind of schedule? Sulfur dioxide is a colourless gas which can be found in air.Liquid sulfur dioxide is stored in cylinders.When the cylinder is opened the liquid quickly changes into a gas.Use the kinetic particle theory to describe the changes in movement and arrangement ofthe particles when liquid sulfur dioxide becomes a gas which instruction should a nurse provide a client with a history of rheumatic fever before the client has any dental work done? a nursing student is aware that which accounts for more deaths, illnesses, and disabilities across the life span than any other preventable condition? We see here a method of asexual reproduction, binary fission, in which one organism splits into two separate organisms. In other organisms, part of an individual separates and forms a second individual. This process occurs in many asteroid echinoderms through splitting of the central disk. This type of reproduction is analogous to growth in humans because relies on the process of. HelpWhat is Thoreau's purpose in the passage from "Walden"?I think da answer is C or A but im not sureA ) to argue for the preservation and reclamation of Walden Pond in the face of human intrusionB ) to describe the permanence of a natural sceneC ) to explain why most people are not able to appreciate the beauty of natureD ) to describe his reasons for visiting Walden Pond and its surroundings