2x-3y+4=0 Rewrite the equation in simplified slope-intercept form

Answers

Answer 1

The equation in simplified slope-intercept form is y = (2/3)x + 4/3.

What is the slope-intercept form of the line?

The slope-intercept form is a way of writing a linear equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.

To rewrite the equation 2x-3y+4=0 in simplified slope-intercept form, we need to rearrange the equation to get y by itself on one side of the equation.

To do this, we can add 3y to both sides of the equation:

2x + 4 = 3y

Then we can divide both sides by 3:

(2/3)x + 4/3 = y

Now we have the equation in the form of y = mx + b, where m is the coefficient of x, which is (2/3) and b is the constant term on the right side, which is 4/3.

Hence, the equation in simplified slope-intercept form is y = (2/3)x + 4/3

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Related Questions

help needed. due today TT

There is a linear relationship between the number of people in a group and the cost to enter a museum. The museum charges $20 for two people and $28 for three people.


Part C: Using your work from Part A, complete this prompt: How many people can enter the museum for $100?

Answers

Answer:

11 people could enter for $100

Step-by-step explanation:

According to the information given:

$28=3 people

$20=2 people

so it goes up by 8 dollars for every person added

20-8= 16, the original fee, meaning the sequence formula would be:

8n+8 (n being the number of people)

if 8n+8=100

8n=92

n=11.5 rounded down would be 11

Arianna is a stylist at a salon. She earns a different amount of money each day depending on what task she does. She earns $95 for the day if she is answering the phone. She earns e dollars per hour cutting hair. The table shows Arianna's work schedule this week. Which expression represents the total amount of money Arianna earns this week? 3+2+95c 3c+ 2c + 95 3c + 2c + 95c 3+2+95 Arianna's Work Schedule 3 hours cutting hair 2 hours cutting hair Answering phones Monday Tuesday Wednesday

Answers

The expression that represents the total amount of money Arianna earns this week is 3c + 2c + 95.

What is an algebraic expression?

An algebraic expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, and division. The variables in the expression represent unknown values, and the numbers and operations determine how the variables are related.

The expression that represents the total amount of money Arianna earns this week is:

3c + 2c + 95

Where,

c represents the amount of money Arianna earns per hour cutting hair.

This expression represents the total amount of money Arianna earns from cutting hair (3c + 2c) and the amount of money she earns from answering phones (95).

The other expressions listed in the options do not correctly represent Arianna's earnings.

Hence, the expression that represents the total amount of money Arianna earns this week is 3c + 2c + 95.

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Find the value of x so that the function has the given value
g(x) = -1/2x + 3; g(x) = -1

Answers

Answer:

  x = 8

Step-by-step explanation:

You want the value of x so that the function g(x) = -1/2x + 3 has the value -1.

Solution

Substitute for g(x) and solve for x:

  -1 = -1/2x +3

  -4 = -1/2x . . . . . . subtract 3

  8 = x . . . . . . . . multiply by -2

convert 7/6 in a mixed number

Answers

Answer:

1 1/6

Step-by-step explanation:

Answer:

The answer is 1 1/6

Step-by-step explanation:

The reason why this answer is 1 1/6 is that you're dividing the numbers 7 and 6 which equals 1.16. So, 1 is the quotient and the other 1 is the remainder, and 6(denominator) stays in the fraction as the denominator. One goes into a whole number and the other one goes into the numerator, while the six stays in the denominator (1 1/6).

What is 6/6 as a mixed number

Answers

mixed number is equal to 1

6/6 can't be a mixed number.. it's simply just 1.

Is this correct I’m so confused

Answers

Given that P = 4s is the square's perimeter, L = (4s) h is the square-based prism's lateral area then the

lateral surface area [tex]$=2195 \quad \mathrm{~cm}^2$[/tex]

total surface area [tex]$=5759 \quad \mathrm{~cm}^2$[/tex]

How do you find the lateral area and surface area of a prism?

Any right rectangular prism has lateral surfaces equal to the product of the base's perimeter and the prism's height. A rectangular prism's lateral surface area (LSA) is therefore equal to 2 (l + w) h square units.

This is the equation for a particular cylinder's total surface area. Its radius is r and its height is h.

SA=2B+ph, where SA stands for surface area, B for the prism's base area, p for the base's perimeter, and h for the prism's height, can be used to calculate a prism's surface area.

L = Ph yields the lateral area of a prism. Let s stand for the width of a square's side and h for the height of each prism. Given that P = 4s is the square's perimeter, L = (4s) h is the square-based prism's lateral area.

lateral surface area [tex]$=2195 \quad \mathrm{~cm}^2$[/tex]

total surface area [tex]$=5759 \quad \mathrm{~cm}^2$[/tex]

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Consider the system of equations.
-8x + 4y = -8
5x - 2y = 1
The solution to the system of equations is ( , )

Answers

The solution of the system of equations would be = y= 16.4, X = 6.76

What is substitution method of solving equation?

The substitution method of solving equation is defined as the method whereby a known value is substituted into an equation to find the value of the unknown.

The given equations are as follows:

-8x + 4y = -8 ---> equation 1

5x - 2y = 1 --->. equation 2

From equation 2 make X the subject of formula;

x = 1 + 2y/5

Substitute X = 1 + 2y/5 into equation 1

-8 ( 1 + 2y/5) + 4y = -8

-8 + 16y/40 + 4y = -8

-8 +16y + 4y = 40×-8

-8 + 20y = -320

20y = -320+8

y = 328/20

y = 16.4

Substitute y = 16.4 into equation 2 to find X.

5x - 2(16.4) = 1

5x - 32.8 = 1

5x = 33.8

X = 33.8/5

X = 6.76

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If the apothem of a regular hexagon is 12 cm and the side length is 8 cm, then find the area of the hexagon

576 in^2
244 in^2
36 in^2

Answers

The area of the hexagon will be 288 cm².

What is a polygon?In geometry, a polygon can be defined as a flat or plane, two -dimensional closed shape bounded with straight sides. It does not have curved sides.A vertex is a corner point of a polygon, polyhedron, or other higher-dimensional polytope, formed by the intersection of edges, faces or facets of the object.

Given is that the apothem of a regular hexagon is 12 cm and the side length is 8 cm.

An apothem of a regular polygon will always be a radius of the inscribed circle.The apothem a can be used to find the area of any regular n - sided polygon of side length {a} - A = apothem x 1/2{P}.The perimeter is given by : {P} = n x a.

We can write -

A = apothem x 1/2{na}

A = 12 x 1/2{6 x 8}

A = 12 x 24

A = 288 cm²

Therefore, the area of the hexagon will be 288 cm².

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Which range of juice amounts is most
likely dispensed by a machine
programmed to dispense 12 ounces
of juice at a time?
A Between 11 and 11.5 ounces
B Between 11 and 12 ounces
C Between 11.5 and 12 ounces
D Between 11.5 and 12.5 ounces
E Between 12 and 13 ounces

Answers

The range of juice amounts is most likely dispensed by a machine

programmed to dispense 12 ounces of juice at a time is between 11 and 12 ounces.

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The machine is programmed to dispense 12 ounces.

This means,

The amount dispensed can not be more than 12 ounces.

The amount dispensed can be less than 12 ounces.

Now,

The range of juice amounts is most likely dispensed by a machine.

11 ≤ x ≤ 12

Thus,

The range of juice amounts most likely dispensed by a machine is between 11 and 12 ounces.

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Find the slope of the graph
Please help asp!!!

Answers

Answer: Undefined

Step-by-step explanation:

The line is vertical, which means its slope is undefined.

K
The table shows the fraction of the population in selected countries that used cell phones in a recent year. Complete
the table by writing each fraction as an equivalent fraction with a denominator of 100.
Country
Country A
Country B
Country C
Country D
Country E
Country F
Country G
Country H
Country I
Country J
Fraction of
Equivalent Fraction
Population Using Cell with a Denominator of
Phones
100
87
100
9
10
23
25
23
25
17
25
91
100
4
5
67
100
2
25
...
7
10

Answers

The solution is given below.

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

from the given chart we get,

the solution is attached below.

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HEELPPP YALLLL PLEASE

Answers

The number line can be represented by the equation option D: -6 + 5 =- 1.

What is a number line?

A straight line of numbers is shown visually as a number line. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals.

The number line is given in the image.

It shows that the arrow is moving from positive to negative side.

The units for which the arrow is moving is = -6

Five units are left before the arrow on the left hand side.

Therefore, the equation is -6 + 5 = -1

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A recipe calls for 2 cup of brown sugar for every 6 cups of white sugar. How many cups of brown sugar are required for every 12 cups of white sugar?
(PLEASE HELP!!)

Answers

There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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a mixture of 6 gallons of chemical A, 8 gallons of chemical B, and 13 gallons of chemical C is required to kill a destructive crop insect. Commercial spray X contains A, 2B, and 2C parts respectively. Commercial spray Y contains only chemical C. Commercial spray Z contains chemicals A, B, and C in equal amounts. How much of each type of commercial spray is needed to get the desired mixture?

Answers

Each type of commercial spray is needed to get the desired mixture is,

⇒ spray x: 10,

⇒ spray y: 5,

⇒ spray z: 12

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

Let, a - number of gallons of chemical A

b - number of gallons of chemical B

c - number of gallons of chemical C

x - number of gallons of spray x

y - number of gallons of spray y

z - number of gallons of spray z

So, We can formulate;

CHEMICAL         SPRAY X          SPRAY Y          SPRAY Z

   a = 6          =        1/5x          +       0y          +          1/3z

   b = 8          =        2/5x         +       0y          +          1/3z

   c = 13         =        2/5x          +         y          +          1/3z

So:

1/5x + 1/3z = 6

2/5x + 1/3z = 8

2/5x + y + 1/3z = 13

Multiply the first equation by (-1) and add it to the second equation;

⇒ - 1/5x - 1/3z = - 6

    2/5x + 1/3z = 8

    ____________

    1/5x = 2

    x = 2 × 5

    x = 10

From here:

1/5x + 1/3z = 6

Put x = 10;

1/5 × 10 + 1/3z = 6

2 + 1/3z = 6

1/3z = 4

z = 4 × 3

z = 12

⇒ 2/5x + y + 1/3z = 13

Put, x = 10, z = 12

2/5 × 10 + y + 1/3 × 12 = 13

4 + y + 4 = 13

8 + y = 13

y = 13 - 8

y = 5

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Use the appropriate compound interest formula to compute the balance in the account after the stated period of time
$8,000 is invested for 13 years with an APR of 5% and monthly compounding.
The balance in the account after 13 years is $
(Round to the nearest cent as needed.)
...

Answers

The balance in the account after 13 years is $15303.7

What is compound interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

Using the compound interest formula

Compound interest:

A = p(1+r/n)nt

A = future amount

p = principal investment = 8,000

r = interest rate = .05

n = # times compounded per year = 365

t = time in years = 13

A = 8000(1 + .05/365)^365(13)

A = 8000(1.05/365)^365(13)

A = 80000(0.01)^365(13)

A = $15303.7

Hence, the balance in the account after 13years is $15303.7

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A rectangular prism has a length of 14 centimeters, a height of 4 1 2 centimeters, and a volume of 756 cubic centimeters. What is the width of the prism? Write your answer as a whole number, proper fraction, or mixed number.

Answers

The width of the prism is, 12 centimeter.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

A rectangular prism has a length of 14 centimeters, a height of 4 1/2 centimeters, and a volume of 756 cubic centimeters.

Let the width of the prism = x

Now, We know that;

Volume of prism = Length × Width × Height

Substitute all the given values, we get;

⇒ 756 = 14 × x × 4 1/2

⇒ 756 = 14 × 9/2 × x

⇒ 756 = 63x

⇒ x = 756 / 63

⇒ x = 12 centimeter

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16x² + 4x² - 2x-12x² + 4x simplified

Answers

Answer:  8x^2 + 2x

Step-by-step explanation:

Group like terms: 16x²+4x²-12x²-2x+4x

Add similar elements: 16x²+4x²-12x²=8x²

=8x²-2x+4x

Add similar elements: -2x+4x=2x

=8x²+2x

Given the radical equation equation reads square root of quantity six times m plus nineteen end quantity minus two equals m , complete each part.
Part A: Solve the equation for the variable m. Be sure to show all your steps in solving to receive full credit.
Part B: Check each solution found in Part A in the original equation. Be sure to show all your steps to receive full credit.
Part C: Using complete sentences, explain if each solution is extraneous or non-extraneous. Be sure to use complete sentences in each explanation.

Answers

The value of the variable are -3 and 5.

In this case, -3 is an extraneous solution and 5 is a non- extraneous solution.

How to explain the equation?

From the information, the radical equation reads square root of quantity six times m plus nineteen end quantity minus two equals m.

To solve for m goes thus:

✓[6m + 19] - 2 = m

6m + 19 = (m + 2)²

Opening the parentheses

m² - 2m - 15 = 0

(m + 3)(m - 5)

m = -3 and 5

Here, it should be noted that -3 is an extraneous solution and 5 is a non- extraneous solution.

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The following T accounts show transactions that were recorded by Residential Relocators, a firm that specializes in local housing rentals

Cash
(a) 179,000 (b) 35,000
(d) 19,000 (e) 590
(g) 1,900 (h) 9,900
(i) 3,900
Equipment
(c) 69,000



Accounts Receivable
(f) 10,200 (g) 1,900



Accounts Payable
(c) 69,000



Supplies
(b) 35,000



Scott Hamilton, Capital
(a) 179,000



Fees Income
(d) 19,000
(f) 10,200


Telephone Expense
(e) 590



Scott Hamilton, Drawing
(i) 3,900



Salaries Expense
(h) 9,900


Required:
Prepare a trial balance and an income statement for Residential Relocators. The trial balance is for December 31, 20X1, and the income statement is for the month ended December 31, 20X1.

Answers

a) The preparation of the trial balance for Residential Relocators is as follows:

Residential Relocators

Trial Balance

As at December 31, 20X1

Account Titles                   Debit    Credit

Cash                              $150,510

Equipment                      69,000

Accounts Receivable       8,300

Accounts Payable                           $69,000

Supplies                         35,000

Scott Hamilton, Capital                   179,000

Scott Hamilton, Drawing 3,900

Fees Income                                    29,200

Telephone Expense           590

Salaries Expense             9,900

Totals                         $277,200 $277,200

b) The preparation of an income statement for Residential Relocators is as follows:

Residential Relocators

Income Statement

For the month ended December 31, 20X1

Fees Income                                   $29,200

Telephone Expense         $590

Salaries Expense             9,900     $10,490

Net income                                      $18,710

What is a trial balance?

A trial balance is a list of account balances from the general ledger.

Trial balance forms the basis for the preparation of financial statements, including income statements and balance sheets.

T-Accounts:

Cash

(a) 179,000 (b) 35,000

(d)   19,000      (e) 590

(g)     1,900   (h) 9,900

                     (i) 3,900

Balance         150,510

Equipment

(c) 69,000

Accounts Receivable

(f) 10,200 (g) 1,900

Balance       8,300

Accounts Payable

            (c) 69,000

Supplies

(b) 35,000

Scott Hamilton, Capital

                  (a) 179,000

Fees Income

                  (d) 19,000

                   (f) 10,200

Balance 29,200

Telephone Expense

(e) 590

Scott Hamilton, Drawing

(i) 3,900

Salaries Expense

(h) 9,900

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Simplify the expression. Radical 243a to the 25th power.

√243a^25

Answers

Answer:

Step-by-step explanation:

Answer:

381520424476945831628649898809 sqrt(3) a^(25/2)

Step-by-step explanation:

sqrt(243 a)^25 = 381520424476945831628649898809 sqrt(3) a^(25/2)

A video game store sells 218 video games for $54 each. Which is the best estimate of the total sales for the video games?

A $10,000
B $10,500
C $12,000
D $12,500

Answers

Answer:

C $12,000

Step-by-step explanation:

$54 × 218 = 11,772

11,772 - 10,500 = 1772

12,000 - 11,772 = 228

Therefore,

12 000 is the nearest number for total sales

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

a = 5+2 = 3

b= 7.1-3.4 = 10.5

c = 8-7 = 15

d = 9/5-3/2 = 33/10

Step-by-step explanation:

I hope this helps.

All of the following are equivalent except _____.
1.) -2^4
2.) (-2)^4
3.) (-2)(-2)(-2)(-2)
4.) 2^4

Answers

So, on solving the provided question we can say that the equation =  -2^4 is different

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here,

the equation -

-2^4

(-2)^4

(-2)(-2)(-2)(-2)

2^4

in these  -2^4 is different

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Adding with Ones - Item 30577 Claire adds: 47 +5. She rewrites the problem. What is a correct next step? awnser a 4 tens+ones=412 awnser b 4 tens+12ones=5tens+2ones awncer c 4tens+12ones=512 awnser c 4tens+12ones=5ones=5tens+12ones.​

Answers

Numbers are added using the operation of addition in math. The sum of the provided numbers is the outcome of addition, or the result.

What is Addition?As an illustration, the result of adding 2 and 3 is 5, or (2 + 3) Here, the sum, or 5 was obtained by adding the two numbers 2 and 3.There are numerous symbols used in mathematics. One of the often used arithmetic symbols is the plus sign. Two numbers, 2 and 3, were added in the definition of addition provided above. By connecting the two numbers and completing the supplied phrase, the symbol (+) follows the addition pattern (2 + 3 = 5) as shown. A vertical line and a horizontal line make up the addition symbol.Other names for it include the plus sign (+) and the addition symbol.The equation addend + addend = sum, which expresses the addition fact, is known as the addition formula.

The Complete Question.

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Which of the following shows that PQRS
is a parallelogram for u=8
and v=12
?

Answers

Answer:

I think that the answer is the answer to the question

Step-by-step explanation:

Complete rest of lab please

Answers

The volume of stack of coins is V= 3.40 cm^3.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

Diameter of stack of coins = 1.9cm

Height of stack of coins= 1.2cm

now. we know,

Volume of stack of coins is,

volume = π/4×diameter^2×height

i.e. V= 3.40 cm^3

Hence, The volume of stack of coins is V= 3.40 cm^3.

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Madelyn wants to buy a charm bracelet. Oxford Fine Jewelry charges $12 per charm, plus $40 for the bracelet. Espinoza Jewelers, in contrast, charges $14 per charm and $30 for the bracelet. If Madelyn wants to add a certain number of charms to her bracelet, the cost will be the same at either jewelry shop. How many charms would that be?

Answers

Using a system of equations, for Madelyn to add a certain number of charms to her bracelet, where the cost will be the same at either jewelry shop, the number of chams would be 5.

What is a system of equations?

When two or more equations are solved concurrently, they are described as a system of equations.

Another description of a system of equations is simultaneous equations.

                                       Oxford Fine    Espinoza

Unit cost per charm              $12                 $14

The cost of the bracelet      $40                $30

Let the number of charms = c

Equations:

Equation 1: (Costs at Oxford Fine) 12c + 40

Equation 2: (Costs at Espinoza) 14c + 30

For the cost to be the same at either jewelry shop, Equation 1 must equal Equation 2:

12c + 40 = 14c + 30

-2c = -10

c = 5

Check:

12c + 40

12(5) + 40 = $100

14c + 30

14(5) + 30 = $100

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The figure above shows a right triangle with dimensions in inches. Solve for c to the nearest inch.

Answers

Answer:

Step-by-step explanation:

We can use trigonometry for this.

Cos x = Adjacent/ Hypotenuse

cos 27° = 15/c

c = 15/cos 27 = 16.835 inch ≈ 17 inches

An item is regularly priced at $75 . it is on sale for 95% off the regular price. how much (in dollars) is discounted from the regular price?

Answers

Answer:

3.75

Step-by-step explanation:

Which expression below represents the cost of one roll of paper towels if the price is three rules for $t and you get a $.75 rebate

Answers

Answer:

[tex]\textrm{Choice B: } \dfrac{t-0.75}{3}[/tex]

Step-by-step explanation:

Other Questions
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