Graph the inequality
4x-12y<24
Show all your work!

Answers

Answer 1

Answer:

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-12*y-(24)=0

Step 1: Pulling out like terms

Pull out like factors :

  4x - 12y - 24  =   4 • (x - 3y - 6)  

Equation at the end of step 1:

Step 2:

Equations which are never true:

Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

Solve   x-3y-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000

 y-intercept = 6/-3 = 2/-1  = -2.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

 x-intercept = 6/1  =  6.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is -1.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.333 - (-2.000) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.667/2.000 =  0.333  

Geometric figure: Straight Line

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000


Related Questions

Help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Slope of a line perpendicular to y=4x+3 is −14 .

Step-by-step explanation:

...............

If you need the graph here it is

Simplify the following to standard form
1.(9x+7y+8z)+(2x+ -4y+7z)
2. (5x +10y+ -8z) - (2x+ -2y + -3z)​

Answers

Answer:

1, 11x + 3y + 15z

2, 3x + 12y + -5z

Step-by-step explanation:

all you need to do is combined the like terms and make sure the signs (positive and negative signs) are right

what x-6-5x plz help me

Answers

Answer:

−4−6

Step-by-step explanation:

The image point of A after a translation right 4 units and up 4 units is the point B(-5, -1). Determine the coordinates of the pre-image point A.​

Answers

Answer:

(-9, -5)

Step-by-step explanation:

You have to imagine where it came from so the only way to find that is by reversing the translation. Instead of adding 4, we need to subtract 4 left and down. Once you did the inverse you receive your answer.

CAN SOMEONE HELP ME WITH THIS EQUATION?

Answers

Answer:

82.96 people/km^2

Step-by-step explanation:

people / square km

3.70 x 10^9        

----------------- =    

4.46 x 10^7      

         

3.70 x 10^2

----------------

 4.46

0.8295... x 100 = 82.959641 or rounded 82.96

is 18/3 an irrational number

Answers

Answer:

Yes it is irrational

Step-by-step explanation:

Hope this helps

The number 18/3 is 6 which is not an irrational number.

What is an irrational number?

An irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.

here, we have,

18/3

= 6

So, its not an irrational number.

To learn more on number click:

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The airline tickets to Jamaica that you want to buy just went on sale. They were originally $1100 and the sale price is $600. What percentage is the original price marked down?

Answers

Step-by-step explanation:

100% = $1100

1% = 100%/100 = 1100/100 = 11

how many % are $600 ?

that is how often does 1% fit into $600 ?

600 / 11 = 54.545454... %

rounded that means 55%.

so, the making down percentage is then the difference

100% - 55% = 45%



I need some help with this thank you!

Answers

Answer:

9

Step-by-step explanation:

2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 6^0)^2

2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 1)^2

2^28(3^-2/2^3)^4 x 243^2/256^2

2^28 x 1/2^12 x 3^8 x 243^2/256^2

243^2 x 1 x 2^28/256^2 x 3^8 x 2^12

2^28 x 243^2/2^12 x 3^8 x 256^2

2^16 x 243^2/3^8 x 256^2

2^16 x 3^10/2^16 x 3^8

=3^2

=9

What is the slope of the line graphed below

Answers

Answer:

mx + y = c slope = - 4 and y - intercept = 2 , then the equation of line is mx + y = c .

Step-by-step explanation:

If I am wrong sorry If I am right mark me brainliest

Please help me solve 9 and 10 ASAP please

Answers

Answer:

[tex] \sqrt{ |?| } [/tex]

.what is the answer please ​

Answers

its  C the only one that makes a angle

PLEASE ANSWER!!! 100 Points!
Can a square be determined given only
the length of a diagonal? Explain your
answer.

Answers

Answer:

No

Step-by-step explanation:

A diagonal divides a square into two congruent right trianglesWe can use the side lengths of the square to find the length of the diagonal.The angles of a square are equal to 90°

3.5m/min = how manny miles/hour

Answers

Answer:

[tex]\sf\longmapsto0.13 miles/hour[/tex]

Step-by-step explanation:

Firstly we have to use the formula to find the miles/hour

[tex]\sf\longmapsto \: Formula:Divide \: the \: speed \: value \: by \: 26.822.[/tex]

[tex]\sf\longmapsto \: 3.5 \div 26.822[/tex]

[tex]\sf\longmapsto \: 0.13 miles/hour[/tex]

multiplicative inverse of 7 raised to -2​

Answers

Answer:

The multiplicative inverse of 7 raised to - 2 is 72. Not actual 72 but 7 to the second power.

Step-by-step explanation:

The formula 1/2 bh finds the area of what shape?

Answers

The formula ½ bh finds the area of a triangle.

Please check the picture.

Answer:

Triangle

Step-by-step explanation:

b -  base of the triangle

h - height or altitude

May I please receive help????
Please

Answers

Answer:

43°

Step-by-step explanation:

Equation:

m∠ABD = m∠1 + m∠2

Substitute:

68° = m∠1 + (m∠1 + 18°)

Solve:

68° = m∠1 + (m∠1 + 18°)

68° = 2(m∠1) + 18°

50° = 2(m∠1)

25 = m∠1

Solution:

Know that we know that m∠1 is, we can add 18* to find m∠2

25° + 18° = 43°

-Chetan K


13. The length of a rectangle is 9 cm more than 2 times the width. If the perimeter of the rectangle is 60 cm,
what are its dimensions?
a. length = 7 cm; width = 23 cm
b. length = 5 cm; width = 16 cm
C. length = 23 cm; width = 7 cm
d. length = 23 cm; width = 16cm

Answers

Answer:

C. length = 23 cm; width = 7 cm

Step-by-step explanation:

Let the width is x, then the length is:

l = 2x + 9

Perimeter is:

P = 2(l + w)60 = 2(x + 2x + 9)30 = 3x + 93x = 21x = 7

Dimensions are:

Width = 7 cm, length = 2*7 + 9 = 23 cm

Correct choice is C

what is the answer for this please help

Answers

Answer:

7/10

Step-by-step explanation:

What is the student error in the multiplication below?

Answers

Answer:

below what

Step-by-step explanation:

 In the equality -x>5 what must you do to solve the problem

Answers

Answer:

x < -5 (~Divide -1 to both sides)

Step-by-step explanation:

-x > 5

~Divide -1 to both sides

x < -5

I need help please asap!!

Answers

Answer:

I think its step 2.

Step-by-step explanation: Correct me if im wrong. Hope it helps. :)

Answer:

Step 1 ;

Step-by-step explanation:

Convert the division into a multiplication and then flip the fraction .

[tex] \frac{7}{9} \div \frac{3}{8} \\ \\ \\ \frac{7}{9} \times \frac{8}{3} [/tex]

I NEED HELP PLEASE!!!!!!

Answers

Answer:

Step-by-step explanation:

Two angles are alternate and has same measurement because line l and line m are parallel so to find x:

4x - 50 = 2x + 30

4x - 2x = 30 + 50 add/subtract like terms

2x = 80 divide both sides by 2

x = 40

Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total. Is Beckett's estimate reasonable? Explain your thinking.

Answers

Beckett’s estimate was incorrect by almost 10 percent; if he was thinking clearly, he would have known that he spent at LEAST $80 in total

Beckett spent $88 in total his estimate of $80 is wrong.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total.

The total spending will be calculated as,

Total = 52 + 36

Total = $88

The estimated spending is $80. Therefore, Beckett spent $88 in total his estimate of $80 is wrong.

To know more about an expression follow

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Lines AD and BC are parallel. Find the measures
of the three angles in triangle ADE.
A
D
1500
45°
B
F

Answers

Answer:

45, 30, & 105

Step-by-step explanation:

<B=<D by alt. interior <s

180-150=30, so <C=30, <C=<A by alt interior <s

30+45=75

180-75=105

the product of r and 8​

Answers

Answer:

I believe it'd be 8r.

There are 5 chaperones for every 14 kids on a field trip. If there are 152 people on the trip, how many of them are adults?

Answers

Answer:

there are 40 chaperones and 112 kids.

Step-by-step explanation:

5 chaps. plus 14 kids -- 19 people

152 people divided by 19 -- 8

chaperones = 5 x 8 kids = 14 x 8

THIS IS IT AND NO MORE QUESTION AND THX FOR HELP!! HELP AGAIN PLEASE

Answers

5 1/2 * 1 2/5

They can be turned into improper fractions to make multiplying easier. Do this by multiplying the whole number by the denominator and then adding the numerator, and then putting that number over the given denominator.

11/2 * 7/5

The numerators are multiplied and the denominators are multiplied.

77/10

Now, reduce it back into a mixed number.

7 7/10

Hope this helps! :D

Cuales son los lados correspondientes de un ángulo

Answers

Answer:

Los lados correspondientes de un polígono son los lados que están en la misma posición en polígonos similares. En geometría, encontrar la congruencia y la similitud implica comparar los lados correspondientes y los ángulos correspondientes de los polígonos. En este artículo, aprendamos más sobre triángulos rectángulos similares, lados correspondientes, su definición, cómo son proporcionales

Step-by-step explanation:

2. Is this graph a function?


A. This is not a function

B. This cannot be determined from graph

C. This is function

Answers

C. This is a function
C. This is a function.
You know this because none of the points are on the same lines going down.

Sarah and Maya must split the $15 they earned, from scorekeeping a volleyball game. Sarah says, “ there’s only one way to split this money, we both get $7.50.” Maya argued that there were an infinite number of ways to divide the money. Who is correct? Prove their argument.


(Please help!)

Answers

Answer:

sarah is correct

Step-by-step explanation:

there are not multiple ways to divide you can only use division and the equation is 15/2

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