What is the slope intercept form of 6x + 2y = 24?

Answers

Answer 1
6x + 2y = 24....subtract 6x from both sides
2y = -6x + 24...now divide both sides by 2
y = -6/2x + 24/2...now reduce
y = -3x + 12 <=== slope intercept form of y = mx + b

Related Questions

There is a sales tax of $6 on an item that costs $93 before tax. A second item costs $294.50 before tax. What is the sales tax on the second item?

Answers

Answer:

its 19

Step-by-step explanation:

If a second item costs $294.50 before tax. The sales tax on the second item will be $19.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, there is a sales tax of $6 on an item that costs $93 before tax. A second item costs $294.50 before tax.

We have to apply the ratio as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

$6/$93 = t/$294.5

t = 6 × 294.5 / 93

t = $ 19

Thus, if a second item costs $294.50 before tax. The sales tax on the second item will be $19.

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Find the value of x, please

Answers

x^2 = 360 - (131+105+75)
x^2 = 360 - 311
x^2 = 49
so
x = √49
x = 7

4 inside angles = 360 degrees

131 + 75 + 105 = 311

360 - 311 = 49

x^2 = 49

x = sqrt(49) = 7

x = 7

Haven't seen this question before

Select the type of equations

A.) Consistent

B.) Equivalent

C.) Inconsistent

Answers

Consistent it means that it has at least one soultion

Equivalent means that there are infintely many soultions

InConsistent means that they do not intersect


since it has one intersection point it is a consistent system

Answer:

A). Consistent.

Step-by-step explanation:

We have been given a graph of a system of equations. We are asked to determine the type of the given system.

Upon looking at our given graph, we can see that both lines intersect exactly at one place, so it will have exactly one solution.

We know that a system of equations exactly with one solution is known as consistent system.

Therefore, option A is the correct choice.

A car travels 416 miles in 8 hours and at this rate how many miles will the car travel in 22 hours

Answers

Divide the miles by the hours to get the rate. 

416miles/8hrs = 52miles per hour

So, 22 hours at 52mph (22*55) = 1210 miles.

In 22 hours the car will have gone 1210 miles.

To find out how many miles the car will travel in 22 hours, we calculate the unit rate by dividing 416 miles by 8 hours to get 52 miles per hour and then multiply this unit rate by 22 hours to get 1144 miles

The question involves calculating the distance a car will travel at a given rate over a different period of time. This is a basic rate problem in math, often approached by finding the unit rate and then scaling it to the desired time.

Step 1: Identify the rate of travel. The car travels 416 miles in 8 hours.

Step 2: Find the unit rate by dividing the distance by the time. Unit rate = 416 miles / 8 hours = 52 miles per hour.

Step 3: Calculate the distance the car will travel in 22 hours using the unit rate. Distance = 52 miles/hour * 22 hours = 1144 miles.

So, at this rate, the car will travel 1144 miles in 22 hours

BRAINLIESTTTT , FIVE STAR RATING, AND THANKS ASAPPP

Answers

the class median is lower than the exam median ( the dark blue lines in the middle of the rectangles)

 




the steps to solve it

Answers

6(2k-3) is the answer to this problem.
make a distributive
take the 6 out of the equation and u have remaining 2k-3. 6(2k-3)

x+y=20 3x-3y=30 Which values of x and y satisfy this system of equations?

Answers

x +y = 20 ( rewrite as x = 20-y)

3x - 3y =30

3(20-y) - 3y = 30

60-3y - 3y = 30

60-6y = 30

-6y = -30

y = -30 / -6 = 5

x=20-5 = 15

x = 15, y = 5

Express 3/4th in seconds.

30"
45"
50"

Answers

converting
3/4 ×60 = 45"

Answer:

45''

Step-by-step explanation:


Ten seconds after a plane in an air-show dives, it is 200 feet from where it began. After 30 seconds, it is 600 feet from where it began. At what rate is the plane diving?

Answers

20 feet per second, if it has been diving for a total of 40 seconds and lost 800 feet then assuming it is moving at a linear rate you divide the total amount of fps by the total distance. equation for speed is time/distance=speed.

if three times x is equal to x decreased by 2, then x is

Answers

Let's divide the sentence to translate it to a mathematical language:

"Three times x" means 3x.
"x decreased by 2" means x - 2

"Three times x is equal to x decreased by 2" means 3x = x - 2

Let's solve for x:
3x = x - 2

Subtract x from both sides:
3x - x = x - x - 2
2x = -2

Divide both sides by 2:
2x = -2
(2x)/2 = -2/2
x = -1

Hope this helps! :)


If an exterior angle of a regular polygon is 21.2° how many sides does the polygon have?

Answers

[tex]\bf \textit{sum of all exterior angles in a polygon}\\\\ n\theta =360\quad \begin{cases} n=\textit{number of sides}\\ \theta =\textit{angle in degrees}\\ ----------\\ \theta =21.2^o \end{cases}\implies n21.2=360 \\\\\\ n=\cfrac{360}{21.2}\implies n\approx 16.981132\implies n\approx 17[/tex]

the reason why the value is not an integer, is most likely because the 21.2° is just an approximation.

If a polygon POLYG is oriented clockwise, what is the orientation of a reflection image P’O’L’Y’G’?

Answers

The question is not clear.

You are the human resources manager for a new local bank. Create a customer service code of behavior for the bank’s employees. In the code, identify the top five areas that bank employees should focus on to meet the needs of their customers. For each area, list three behaviors or practices employees should demonstrate to keep the bank’s customers satisfied.

Answers

Top 5 areas: Appearance, Conduct, Language, Actions, and be respectful.

3 behaviors for appearance: No sagging at work, no offensive clothing, and you must wear work clothing, not casual.

3 behaviors for conduct: Be kind to customers if you want them to tip you, ask them how are they feeling, and say welcome and have a nice day/

3 behaviors for language: no swearing to customers, no swearing at all on work duty, and must be able to be patient with people who don't understand/speak English

3 behaviors for actions: no smoking at all period, no taking pictures and posting on social media that other places are terrible, no being drunk on duty

3 behaviors for respect: must respect people from different cultures, for genders, and sexual orientation.

If I was a human resource manager this is what I would tell bank employees.
Final answer:

The top five areas that bank employees should focus on for customer satisfaction include professionalism, focus and productivity, commitment to service, respect for authority, and continuous learning and improvement. For each area, employees are expected to adhere to specific behaviors and practices.

Explanation:

As a human resources manager for a banking institution, creating a customer service code of behavior is an essential task. Notably, there are five areas employees should focus on to meet their customers' needs. They include:

Professionalism: Employees should demonstrate punctuality, maintain a professional appearance, and treat everyone with respect. Focus and Productivity: Avoid personal distractions, complete tasks on time, and demonstrate support for the company's goals. Commitment to Service: Display a positive attitude, express enthusiasm, and be committed to providing excellent customer service. Respect for Authority: Employees should respect from their supervisors and managers. Continuous Learning and Improvement: Employees should actively seek to understand their roles and their manager's expectations, adopt effective time management and conflict resolution strategies, identify and respect their rights and responsibilities, and continuously strive for growth and improvement.

These practices and behaviors are expected to provide satisfactory services to the bank's customers and help maintain a productive work environment.

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Can someone give me the steps to solving this equation? 3^x = 81

Answers

Do 81/3=27/3=9/3=3, So you see the answer is 3^4, I don't know if that's the official way to solve it but it works.

y is 5 less than the product of 4 and x

Answers

the answer you are looking for is 4x-5

Answer: heres all the answers for the practice

1.A c=8+n/2

2.C y=4x-5

3.D 3/5 b-7=a

4.C w=2.5 + h/3

5.B e=8.7n

6.B a=8- 1/6 b

7.C h=40+21t

8.D 99 square cm

9.A 8 square ft

10.A -435.5m

hope i helped

Step-by-step explanation:

Farmer Tom raises ducks and horses on his farm. All of his horses need new horseshoes. He calls the farrier (a person who puts shoes on horses) but has a difficult time remembering how many of each animal he owns. He knows that there are a total of 24 animals. The animals have a total of 62 legs (all animals have either two or four legs). How many horses does Tom own?

Answers

h+d=24

h = 24-d

4h +2d = 62

4(24-d) +2d = 62

96 -4d +2d =62

96-2d =62

-2d =-34

d =-34/ -2 = 17

17 ducks

24-17 = 7 horses

Describe which of the two points lies on the graph of the line
X-y=2
A. 6,4
B, 5,7

Answers

x is the first number
y is the second number

x = 6, y = 4

(6) - (4) = 2

True

x = 5, y = 7

(5) - (7) = -2

False

your answer is A. 6,4

hope this helps

Name a pair of adjacent complementary angles

Answers

Complementary angles are two angles with a sum of 90º.

Supplementary angles are two angles with a sum of 180º.

Vertical angles are two angles whose sides form two pairs of opposite rays. We can think of these as opposite angles formed by an X.
Final answer:

In geometry, complementary angles are two angles whose measures add up to 90 degrees. A pair of adjacent complementary angles could be 30 degrees and 60 degrees.

Explanation:

In geometry, complementary angles are two angles whose measures add up to 90 degrees. For example, if one angle measures 30 degrees, the other angle measures 60 degrees because 30 + 60 = 90. So, a pair of adjacent complementary angles could be 30 degrees and 60 degrees.

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To buy a truck you can pay $14,000 cash or put down $5000 and make 24 monthly payments of $551.09. how much would you save by paying cash (to the nearest hundredth)?

Answers

You will save $4,226.16 because $5,000 + 24 x $551.09 = $18,226.16
To get how much is saved take the higher number and subtract the lower one,
$18,226.16 - $14,000 = $4,226.16

Final answer:

By paying $14,000 in cash for the truck instead of making a $5,000 down payment and 24 monthly payments of $551.09, you would save $4,226.16.

Explanation:

To determine how much you would save by paying cash for the truck versus making a down payment and monthly payments, we need to calculate the total cost for each option.

Down payment: $5,000

Monthly payments: 24 payments of $551.09 each

The total cost when financing the truck would be:

$$5,000 + (24 × $551.09) = $5,000 + $13,226.16 = $18,226.16$
The cash payment option is $14,000. Therefore, the savings when paying cash would be:

$$18,226.16 - $14,000 = $4,226.16$
By paying cash, you would save $4,226.16, to the nearest hundredth.

What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ? Enter your answer in the box. Do not round any side lengths. ___units²

Answers

The formula for calculating area of rectangle is Area= Length (longer side of rectangle) * Breadth (shorter side of rectangle) We need to find length and breadth of rectangle by drawing rectangle on coordinate plane. Then we can count points between vertices that are opposite to each other Then we get length= 4 units and breadth=3 unit Then Area= 4 * 3= 12 units^2 we use unit because certain unit is not given I.e. cm , inch, metre etc
Final answer:

The area of the rectangle is 8 units².

Explanation:

To find the area of a rectangle, we can use the formula A = length * width. In this case, we can use the coordinates of the vertices to determine the length and width of the rectangle.

Using the distance formula, we can find the length between the points (-3, -1) and (1, 3) to be 4 units, and the width between the points (1, 3) and (3, 1) to be 2 units.

Therefore, the area of the rectangle is 4 * 2 = 8 units².

Three friends were born in consecutive years. The some of their birth years is 5982.find the year in which each person was born

Answers

Because the three numbers are consecutive, if the first one is x, the second should be x+1, and the third one is x+2
the three numbers add up to be 5982, so
x+(x+1)+(x+2)=5982
3x+3=5982
3x=5979
x=1993
1993,1994,1995

Answer:

The birth years of first person is 1993.

The birth years of second person is 1994.

The birth years of third person is 1995.

Step-by-step explanation:

Three friends were born in consecutive years

Let the birth years of first person be  x,

Let the birth years of second person be (x+1)

Let the birth years of third person be(x+2)

The sum of their birth years is 5982.

[tex]x+(x+1)=(x+2)=5982[/tex]

Solving the given equation for x:

[tex]3x+3=5982[/tex]

[tex]x=\frac{5982-3}{3}=1993[/tex]

The birth years of first person = x =  1993

The birth years of second person = (x+1) = 1993+ 1 = 1994

The birth years of third person = (x+2) = 1993+2 = 1995

How would I solve -5 over -6 divided by -2 over 4

Answers

(-5/-6)/(-2/4)
= 5/6 x -2
= - 5/3

hope it helps, brainliest pls
Answer: -5/3 or -1 2/3

Step One: Flip the -2 and 4
-5/-6 × 4/-2

Step Two: Multiply
-20/12

Step Three: Simplify
-20/12 ÷ 4

Hope this helped!

LINEAR INEQUALITIES ! Jason needs to rent a hall to host a party. A particular rental hall charges a flat fee, with an additional charge per person, excluding the host. The cost per person to rent the hall is listed in the table below.

Number of People Total Cost
(in $)
( 1 50)
(2 55)
(3 60)
(4 65)

Which of the following inequalities can be used to determine how many friends Jason can invite to the party if he wants to spend less than $100?

Answers

The correct answer is number 3

The correct answer is shown below

Consider the equation below. f(x) = 4x3 + 6x2 − 24x + 3 (a) find the intervals on which f is increasing. (enter your answer using interval notation.)

Answers

Final answer:

The function f(x) = 4x^3 + 6x^2 - 24x + 3 is increasing on the interval (-2/3, 1.5), where the derivative of the function is positive.

Explanation:

To find the intervals on which the function f(x) = 4x^3 + 6x^2 − 24x + 3 is increasing, we first need to calculate its derivative, which will give us the slope of the tangent line to the function at any point x. The function is increasing wherever its derivative is positive.

The derivative of f with respect to x is:
f'(x) = 12x^2 + 12x - 24.

To find where the function is increasing, set the derivative greater than zero:

12x^2 + 12x - 24 > 0

Solve this inequality to find the intervals for x. Factoring the quadratic, we get:

(2x - 3)(6x + 4) > 0

The zeros of this equation are x = 1.5 and x = -2/3. These values divide the real number line into intervals. Test a value from each interval to see where the function is increasing:

If x < -2/3, for example x = -1, the derivative becomes negative, indicating the function is decreasing.If -2/3 < x < 1.5, for example x = 0, the derivative is positive, indicating the function is increasing.If x > 1.5, for example x = 2, the derivative is again negative, indicating the function is decreasing.

Thus, the function f(x) is increasing in the interval (-2/3, 1.5).

IS Δ ABC WITH VERTICES A(-2, -5), B(-3, 2) AND C(1, -2) A RIGHT TRIANGLE?

A.) Δ ABC IS NOT A RIGHT TRIANGLE.
B.) Δ ABC IS A RIGHT TRIANGLE BECAUSE AB ⊥ AC
C.) Δ ABC IS A RIGHT TRIANGLE BECAUSE BC ⊥ AC
D.) Δ ABC IS A RIGHT TRIANGLE BECAUSE AB ⊥ BC

Answers

ABC is not a right triangle.  I know this because then two of the X vertices and two of the Y vertices would match on the coordinates. ALSO, CAPS.

Answer:20

Step-by-step explanation:

Which pairs of quadrilaterals can be shown to be congruent using rigid motions?



Select Congruent or Not Congruent for each pair of quadrilaterals.
Congruent Not Congruent
quadrilateral 1 and quadrilateral 2
quadrilateral 1 and quadrilateral 3
quadrilateral 1 and quadrilateral 4
quadrilateral 2 and quadrilateral 3
quadrilateral 2 and quadrilateral 4
quadrilateral 3 and quadrilateral 4

Answers

Answer:

quadrilateral 1 and quadrilateral 2 NOT CONGRUENT

quadrilateral 1 and quadrilateral 3 CONGRUENT

quadrilateral 1 and quadrilateral 4 CONGRUENT

quadrilateral 2 and quadrilateral 3 NOT CONGRUENT

quadrilateral 2 and quadrilateral 4 NOT CONGRUENT

quadrilateral 3 and quadrilateral 4 CONGRUENT

Step-by-step explanation:

quadrilateral 1 and quadrilateral 2 NOT CONGRUENT

quadrilateral 1 and quadrilateral 3 CONGRUENT:

rigid motion: reflection

axis of reflection: y=x

quadrilateral 1 and quadrilateral 4 CONGRUENT:

rigid motions: translation and reflection

axis of reflection y=0

quadrilateral 2 and quadrilateral 3 NOT CONGRUENT

quadrilateral 2 and quadrilateral 4 NOT CONGRUENT

quadrilateral 3 and quadrilateral 4 CONGRUENT:

rigid motions: translation and reflection

axis of reflection: x=0

The corresponding parts of congruent quadrilateral are congruent.

The true statements are:

Quadrilateral 1 and quadrilateral 2 Not Congruent Quadrilateral 1 and quadrilateral 3 Congruent Quadrilateral 1 and quadrilateral 4 Congruent Quadrilateral 2 and quadrilateral 3 Not Congruent Quadrilateral 2 and quadrilateral 4 Not Congruent Quadrilateral 3 and quadrilateral 4 Congruent

From the attached figure:

Quadrilaterals 1, 3 and 4 are congruentQuadrilateral 2 is not congruent to any of the other quadrilaterals.

The above highlights mean that:

Statements 1, 4 and 5 are Not CongruentStatements 2, 3 and 6 are Congruent

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The pitch of the roof is the number of feet the roof rises for each 12 feet horizontally. If a roof has a pitch of 8. What is its slope expressed as a positive number? What does the slope mean in this story?

Answers

Refer to the diagram shown below.

The height is h ft
Half of the total horizontal base length is w ft.

Because the pitch is 8, therefore
When w = 12 ft, then h = 8 ft.
That is
w/h = 12/8
w = 1.5h

The slope is h/w = 8/12 = 2/3.
As an angle, 
θ = tan⁻¹ 2/3 = 33.7°

Answer:
Slope = 2/3.
The slope represents an angle of elevation of 33.7°.

Final answer:

The slope of the roof, expressed as a positive number, is 0.67. This represents the steepness of a roof, with a higher number indicating a steeper roof. The figure is calculated using the rise over run ratio.

Explanation:

The pitch of a roof is a number that expresses how much the roof's height changes for every 12 feet you move along horizontally. If a roof has a pitch of 8, it means that for every 12 feet you move horizontally, the height of the roof increases by 8 feet. This gives us a rise/run ratio, which is how slope is defined in mathematical terms.

In this case, the rise is 8 feet, and the run is 12 feet. So, the slope would be 8/12, or 0.67 when expressed as a positive decimal number.

The slope here represents the steepness of the roof. A higher slope means a steeper roof and vice versa. By expressing the slope as a number, we can get an idea of how steep the roof is without having to see it in person.

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I NEED HELPPPPPP WILL GIVE A BRAINLIEST TO BEST ANSWER THAT INCLUDES ALL WORK SHOWN, CORRECT ANSWER, AND EVERYTHING MAKES SENSE.

(Variables on both sides of an equation)
Solve: 18x-5=3(6x-2)

Answers

Step 1: Simplify both sides of the equation.
18x−5=3(6x−2)18x+−5=(3)(6x)+(3)(−2)(Distribute)18x+−5=18x+−618x−5=18x−6Step 2: Subtract 18x from both sides.18x−5−18x=18x−6−18x−5=−6Step 3: Add 5 to both sides.−5+5=−6+50=−1Answer:There are no solutions.
18x - 5 = 3(6x-2)
Open parenthesis and distribute
18x - 5 = 18x - 6
Subtract both sides by 18x
-5 = -6
Since -5 does not equal -6, there is no value of x that will work in the equation.

Write the ratio as a fraction in simplest form a/b. What is the ratio of baseballs to basketballs?

Answers

The ratio of baseballs to basketballs is

baseball: basketballs, or 

baseballs/basketballs

if you give me the numbers i can plug it in


hope this helps

Answer: 5/8 im pretty sure i hope it helps :) i took it on freckle so i know but i think this is right

m + 2m - 6 = -12 + 2m

solve for m

Answers

m + 2m - 6 = -12 + 2m

m - 6 = -12

m = -12 + 6

m = -6

hope that helps, God bless!

The solution of m is -6 for the equation m + 2m - 6 = -12 + 2m

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is m + 2m - 6 = -12 + 2m

m plus two times of m minus six equal to minus twelve plus two mines of m.

Plus and minus are the operators of the equation.

Take all the variables on one side and constants on other side.

3m-2m=-12+6

Add the like terms

m=-6

Hence, the solution of m is -6 for the equation m + 2m - 6 = -12 + 2m

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