Which is the graph of the linear inequality 2x – 3y < 12?

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.

Answers

Answer 1

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

What are the characteristics of the graph of the inequality?

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

Characteristics of the graph of the inequality-

Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.Closed circle-When the value of the variable is not equal to the given number, then the graph of the inequality has a closed circle.The ray will move to the right-When the, value of the variable is greater than the number, then the ray will move to the right.The ray will move to the left-When the value of the variable is less than the number, then the ray will move to the left.

The linear inequality given in the problem is,

[tex]2x - 3y < 12[/tex]

The graph of this line is attached below. Here, for the greater than sign, every thing on the left of the graph is shaded, and the line will be dotted because of inequality as shown in the attached image.

Hence, on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

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Which Is The Graph Of The Linear Inequality 2x 3y &lt; 12?On A Coordinate Plane, A Solid Straight Line

Related Questions

What are the solutions to the system of equations? y=x2−7x+12y=−x+7

Answers

Answer:

x = 1, y = 6

or

x = 5, y = 2.

Step-by-step explanation:

y=x2−7x+12

y=−x+7

Substitute for y in the first equation:

- x + 7 = x^2 - 7x + 12

x^2 - 7x + x + 12 - 7 = 0

x^2 - 6x + 5 = 0

(x - 1)(x - 5) = 0

x = 1, 5.

When x = 1, y = -1 + 7 = 6.

when x = 5, y = -5+7 = 2.

A truck driver drove 49 miles in 1 1/3 hours. What was the average speed, in miles per hour, for this trip?

Answers

Answer:

B. [tex]36\frac{3}{4}\ mph[/tex]

Step-by-step explanation:

The formula for average speed:

[tex]S_{average} = \frac{distance}{time}\\\\S = \frac{49\ miles}{1\frac{1}{3}\ hours}\\\\S = 36.75 = 36\frac{3}{4}\ mph[/tex]

What is the value of y? A. 30° B. 60° C. 120° D. 40°​

Answers

Answer:

Its B

Step-by-step explanation:

60+60+60=180

Triangle=180

How do you write 8x - 2y = 10 in slope-intercept form?

Answers

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

How do we write 8x-2y=10 in slope intercept form?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and Solution:-}}}}[/tex]

First subtract 8x on both sides:-

-2y=10-8x

or

-2y=-8x+10

Now divide by -2 on both sides:-

y=2x-5

This is our equation in slope intercept form.

Good luck.

 

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

Work out the surface area of this solid prism.

Answers

THE SURFACE AREA IS 3220CM^2

Enter a formula in cell B3 using the Vlookup function to find the meaning for thr medical abbrevation listed in cell A3. use the name abbreviation for the lookup table

Answers

Formulas tab > in the Function Library group, click Lookup & Reference button, select VLOOKUP. Type A3 in the Lookup_value argument box. Type Abbreviation in the Table_array argument box. Type 2 in the Col_num argument box. Type False in the Rang_lookup box. Click OK, is this what you were looking for?

What is the probability that a student prefers to do the chore in silence

Answers

Answer:

E 0.52

Step-by-step explanation:

okay so total students who do chores in silence is 104 out of 200 students so u put that in a fraction, 104/200. divide top and bottom by 2 and u have 52/100 which is 0.52

Write the following number in standard decimal form.
nine thousand two hundred nineteen ten-thousandths

Answers

Answer:

0.9219

Step-by-step explanation:

Starting at the deccimal point and going right, the places are: tenths (one decimal place), hundredths, thousandths, ten-thousandths. So that the number is ten-thousandths means it has four decimal places. Those digits are given in the problem "nine thousand two hundred nineteen"

Hello Please Find The Answer To This Question (easy) part 4

Answers

Answer:

y=[tex]\frac{7}{4}[/tex]x-5

Step-by-step explanation:

by using this website

its a graphing calculator

desmos. com/calculator

In how many ways can 3 students from a class of 17 be chosen for a field trip?

Answers

Answer:

1360

Step-by-step explanation:

write an equation of a line that is perpendicular to y-4=2(x-6) and passes through the point (-3,-5)

Answers

x-6 x 2-4 x y is your answer

What is the reference angle for 192º?​

Answers

Answer:

78º

Step-by-step explanation:

Note : -

In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the

x - axis.

Step 1 : -

Find where 192º lies in which quadrant.

192º lies in 3rd quadrant ( between

180º and 270º )

Step 2 : -

Subtract : 270 - 192

270 - 192 = 78º

( Since, 192º is greater than 180º, is subtracted from 270º )

Answer : -

78º is the reference angle for 192º.

Please i really need help, i really need this i will give a brainliest to the people that answer correctly

Answers

Answer: B

Hope this helps!

Answer:

Step-by-step explanation:

so to go forward we input x and get out y,   to go backwards ( the inverse) we plug in y and get out x   ,  so just solve the equation for x

f(x) = 8x - 5

remember that f(x) = y

so,

y = 8x - 5

now solve for x

y+5 = 8x

(y+5) / 8 = x

then remember that we want to swap x and y ,

(x+5) / 8 = y

now y = [tex]f^{-1}[/tex](x),  it's kinda confusing.

 [tex]f^{-1}[/tex](x)= [tex]\frac{x+5}{8}[/tex]

Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together?


Rate
(Lawns per Hour)
Time
(Hours)
Fraction Completed
Bethany
One-fourth
x
One-fourth xx
Colin
One-third
x
One-third xx

3 + 4 = x
One-fourth x minus one-third x = 1
One-fourth x + one-third x = 1
4 minus 3 = x

Answers

Answer:

- 1/4x+1/3x=1

Step-by-step explanation:

Find the value of X
A.6
B. 4
C. 16
D. 10

Answers

Answer:

x=4

Step-by-step explanation:

In triangle MLK

it is a equilateral triangle

Hence

ML=LK=MK=5

Now come to triangle MKJ

It is a isosceles triangle

Hence

MJ=Mk

MK=5

Hence

Find the sum. Express your answer in simplest form.

Answers

Answer:

[tex]\frac{10x^2+3}{y^2+4}[/tex]

Step-by-step explanation:

When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )

So we have [tex]\frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}[/tex]

==> remove parenthesis and apply signs

[tex]\frac{x^2+5+4x^2-2}{y^2+4}[/tex]

==> simplify numerator by combining like terms

[tex]\frac{10x^2+3}{y^2+4}[/tex]

and we are done!

Note:

like terms are terms with the same variable and exponent

An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7

The like terms being combined here were (6x² and 4x²) and (5 and -2)

Answer:

[tex]\frac{10x^{2} +3}{y^{2}+4 }[/tex]

Step-by-step explanation:

[tex]\frac{6x^{2} +5}{y^{2}+4 } +\frac{4x^{2} -2}{y^{2}+4 }[/tex]

make the common denominator

[tex]\frac{6x^{2} +5+4x-2}{y^{2}+4 }[/tex]

combone the like terms

[tex]\frac{10x^{2} +5-2}{y^{2}+4 }[/tex]

subtract numbers

[tex]\frac{10x^{2} +3}{y^{2}+4 }[/tex]

Select all the numbers that are in the domain

Answers

Answer:

There is no numbers in your questions

Step-by-step explanation:

Put complete question next time in order for me to help

Help me please i need help

Answers

Answer:

The correct one is 3 one (3 symbol is correct)......

Nipa exercises for 225 minutes a week. How many hours does she exercise in a year?

Answers

About 12,000 minutes a year.

Evaluate 1/4r+7/24 when r=1/6

Answers

Step-by-step explanation:

If r is 1/6 then we'll have 1/4*1/6+7/24.

Firstly we will multiply 1/4 and 1/6 which will give us 1/24.

Then we will add 1/24 and 7/24 which will give us 8/24.

Then we reduce it to it's lowest term that is 1/3.TRY THIS.


Help please can someone solve this
a = 165/360 × pi10^2​

Answers

Answer:

Use a TI84 calculator.

Step-by-step explanation:

There is no way to solve this by hand on paper as the answer is an indefinite number.

How many times greater is 9x10^100 than 3x10^40

Answers

Answer:

9x10^100= 9e+100 3x10^40= 3e+40

Step-by-step explanation:

100-40 = 60

Find the value of x. The figure shows complementary angles. The label for the first angle is x plus 9 degrees. The label for the second angle is 44 degrees.

Answers

The value of x, when two angles are complementary with one angle value is x plus 9 degrees and the second angle value is 44 degrees, is 37 degrees.

What is complementary angles?

The two angles are called complementary angles, when the sum of these two angle is equal to the 90 degrees.

Suppose there are two angle, angle A and angle B. These two angles will be complementary if,

[tex]m\angle A+m\angle B=90^o[/tex]

The figure shows complementary angles.

The label for the first angle is x plus 9 degrees (x+9). The label for the second angle is 44 degrees 44.

As, both the angles are complementary. Thus,

[tex](x+9)+44=90\\x+9+44=90\\x+53=90\\x=90-53\\x=37^o[/tex]

Thus, the value of x, when two angles are complementary with one angle value is x plus 9 degrees and the second angle value is 44 degrees, is 37 degrees.

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Find the value of x if the area of the trapezoid is 54.

Answers

Answer:

11

Step-by-step explanation:

area = (side a + side b)/2 times height

side a = (2 times (area ÷ height)) - side b

side a = (2 times (54+6)) - 7

side a = (2 times (9)) - 7

side a = 18 - 7

side a = 11

to get the hypotenuse of the triangle

11 - 7 = 4

base of the triangle is 2 (2 on either side)

pythagorean theorem

a squared + b squared = c squared

4 + 36 = 40

to get c or the hypotenuse

take the square root of 40

7. The cost, c(x), for a carriage ride is given by c(x) = 2x + 4, where “x” is the number of minutes. Graph c(x), including the correct axis labels.

Answers

As m is a constant that is applied to x, it has to have something to do with minutes, eliminating A and B. As the constant is 2, it has to have something to with 2, eliminating D, meaning your answer is C. This is because a slope is the rate of change of y in relation to x, so it would be rate of change of y is a (a being your constant, in this case 2) per x. With your case, y is cost and x is minutes, leading to answer choice C.

Does anybody know the answer to this?

Answers

Answer:

See below

Step-by-step explanation:

f(0) = value of graph at x = 0   = -6

f(-4) =                              x = -4 =  6

f(1)   = -4

Alicia walked down a hill, stopping for a break when she was halfway down the hill. Her change in elevation from the top of the hill to the
bottom of the hill was - 376 feet.
Which expressions represent half the change in elevation on Alicia's walk?
Select the two correct expressions.
(-376)
2
(-376)
(-2)
-1978)
376
2
-(1976)

Answers

Answer:

we can not help you sorry its a really inportant test

Step-by-step explanation:

Find the equivalent expression using distributive property.

Answers

Answer:

it's A

Step-by-step explanation:

7(x+6)

7x + 7 × 6

7x + 42

Question Progress
+
Homework Progress
5/23 Marks
0
Solve the simultaneous equations
4x + 3y = 21
and
4x + 2y = 16

Answers

Answer:

x= 1.5

y=5

Step-by-step explanation:

do equation 1 and 2 then,

subtract the equation

find the value of y by subtracting

and put the value of y in any equation and get the value of x

Step-by-step explanation:

4x+3y=21

4x+2y=16

If we add both the equation:

4x + 3y = 21

4x + 2y = 16

(-) (-) (-)

4x + 3y = 21

-4x - 2y= -16

=> 0+1y= 5

y=5

substituting Y in eq 1

4x+3y=21

4x+3(5)=21

4x+15=21

4x=21-15

4x=6

x=1.5

x=1.5 and y=5

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The image shows a circle centered at point O angle AOB Measures at 42 degrees.

What is the Measure of the angle acb explain your reasoning

Answers

Answer:

∠ ACB = 21°

Step-by-step explanation:

the inscribed angle ACB is half the central angle AOB , subtended by the same arc AB , then

∠ ACB = [tex]\frac{1}{2}[/tex] ∠ AOB = [tex]\frac{1}{2}[/tex] × 42° = 21°

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