Which graph below represents the solution to the inequality 6 x − 12 − x ≤ 3

Answers

Answer 1

Answer:

The solution is:

[tex]6x-12-x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

The graph of the solution is attached below.

Both the number line and graph is attached below.

Step-by-step explanation:

Note: you missed to add the graph options. Therefore, I am solving the inequality and adding the corresponding graph which would anyways clear your concept.

Given the inequality expression

[tex]6\:x\:-\:12\:-\:x\:\le \:3[/tex]

Group like terms

[tex]6x-x-12\le \:3[/tex]

Add similar elements: 6x-x=5x

[tex]5x-12\le \:3[/tex]

Add 12 to both sides

[tex]5x-12+12\le \:3+12[/tex]

simplify

[tex]5x\le \:15[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}\le \frac{15}{5}[/tex]

simplify

[tex]x\le \:3[/tex]

Therefore, the solution is:

[tex]6x-12-x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

The graph of the solution is attached below.

Both the number line and graph is attached below.

Which Graph Below Represents The Solution To The Inequality 6 X 12 X 3
Which Graph Below Represents The Solution To The Inequality 6 X 12 X 3

Related Questions

Do you think one act of kindness has the power to spread more kindness? Why or Why not?
Im just lazy pls help

Answers

Answer:

yes

Step-by-step explanation:

if you do one good thing for someone eles they would want other people to feel the same way

Answer:

yes because the person is going to feel comfortable and spread kindness to others :)

Step-by-step explanation:

What is the x-and y-intercept of the graph 4x -5y =40??

Answers

Answer:

x-intercept = 10

y-intercept = -8

Step-by-step explanation:

[tex]4x-5y=40[/tex]

To identify the y-intercept, we will need to format the equation in the form [tex]y=mx+b[/tex]. We can start by subtracting [tex]4x[/tex] from both sides of the equation:

[tex]-5y=-4x+40[/tex]

Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-5[/tex]:

[tex]y=\frac{-4}{-5} x - 8[/tex]

The [tex]b[/tex] is representative of the y-intercept in [tex]y=mx+b[/tex].

Identify [tex]b[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex]:

[tex]b=-8[/tex]

Therefore, our y-intercept is -8.

To solve for the x-intercept, replace the [tex]y[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex] with a zero:

[tex]0=\frac{-4}{-5} x - 8[/tex]

Add [tex]8[/tex] to both sides of the equation:

[tex]8=\frac{-4}{-5} x[/tex]

You can go ahead and divide [tex]-4[/tex] by [tex]-5[/tex] to get rid of the fraction:

[tex]8=0.8x[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]0.8[/tex]:

[tex]10=x[/tex]

Therefore, our x-intercept is 10.

given that 16 ounces equal 1 pound , how many ounces are in 6.7 pounds

Answers

Answer:107.2

Step-by-step explanation:

Answer:

107.2

Step-by-step explanation:

6 x 16 = 96

.7 x 16 = 11.2

add them to get 107.2

101
question
3. Which of the following is the representation of a decimal number?
O A. 25
O B. 23
C. 33/10
D. 1/2
Mark for review (Will be highlighted on the review page)

Answers

Answer:

D. 1/2

Step-by-step explanation:

1/2 = 0.5

1/2 it´s a representation of a decimal number.

20 pts and brainlyest to correct-

Answers

Answer: c

Step-by-step explanation:

First find 2 points like say

(0,3) and (1,-2)

now find the slope

3-(-2)/0-1 = -5

the y intercept is already known so the equation is y=-5x+3

In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quality status of any rear view mirror produced in this process is independent of the status of any other rear view mirror. A quality control inspector is to examine rear view mirrors one at a time to obtain three defective mirrors. Determine the probability that the third defective mirror is the 10th mirror examined.

Answers

Answer:

The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

[tex]X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}[/tex]

[tex]= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}[/tex]

[tex]= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}[/tex]

[tex]= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}[/tex]

[tex]= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}[/tex]

= 0.0087999

≅ 0.0088

i need help asap if you can answer more questions for me text me

Answers

Answer:

x=14

Step-by-step explanation:

Brianlist please Let me know if you need an explaination!

Answer:

The answer is 14

Step-by-step explanation:

4(2x-5)+3=5(x+5)

(distribute)

8x-20+3=5x+25

(combine like terms)

8x-20+3=5x+25

-5x.        -5x

_____________

3x-20+3=25

3x-17=25

    +17 +17

____________

3x=42

_______

    3

x=14

What is x?

A. 0.75

B. 1.25

C. 1.67

D. 1.33

Answers

Answer:

D. 1.33

Step-by-step explanation:

[tex] \because \: x = tan (\theta) \\ \\ tan (\theta) = \frac{4}{3} \\ \\ tan (\theta) = 1.33 \\ \\ \implies \: x = 1.33[/tex]

Do any of you guys know the answers to these! Need help

Answers

Answer:

(16) 0    (17) 36

Step-by-step explanation:

8-3 = 5

5x5 = 25

25 / 25 = 1

1 - 1 = 0

and 81 / 9 x 4 = 9 x 4 = 36

Answer:

0 and 36

Step-by-step explanation:

16

25 ÷ (8 - 3)² - 1 ← evaluate parenthesis

= 25 ÷ 5² - 1 ← evaluate exponent

= 25 ÷ 25 - 1 ← evaluate division

= 1 - 1

= 0

17

[tex]\frac{4}{9}[/tex] × 81 = 4 × 9 = 36

a cube has edge length 3 in. What is its volume

Answers

Answer:

27 in3

Step-by-step explanation:

Answer:

56inches

Step-by-step explanation:

formula: Area x 6.

a cube has 6 sides. For 1 side, since the length is 3, we multiply by 3 to get the area to get 9. Thats only 1 side, so we multiply 9 by the 6 sides to get 56.

please explain steps

Answers

Answer:

122º

Step-by-step explanation:

The interior angles of a heptagon add to 900º. We can write an equation and solve:

(12x-9)º+(9x+14)º+(133)º+(10x+9)º+(10x)º+(136)º+(10x+5)º=900ºCombine like terms, 51xº+288º=900ºSubtract, 51xº=612ºDivide, xº=12º

Now that we know x, we can find the measure of ∠B:

∠B=9(12)+14=108+14=122º

Use triangles to find the sum of the interior angle measures of the polygon

Answers

Answer:

145

Step-by-step explanation:

Wait does that shape have 9 sides , if it does then I would do 9-2=7 because it’s quicker and easier ( I don’t use the triangle method but this method should still get you the answer) then you do 7x180=1260 and after you do 1260 divide by 9 (sides) to get your answer as 140

write the decimal 2.10 as a percent ​

Answers

Answer:

210%

Step-by-step explanation:

dat was too easy

Answer:

210% or 21% or 2.10%

its all about what 2.10 is out of (example:   /1=210%  /10= 21%  /100=2.1%

edit: if your wondering what the "/" means it means " out of"                (example: 1 out of 100 is 1%)

PLEASE HELP!!!!!!!!!!!!!!

Answers

X divided by 2 = y
Or you could do
Y times 2= x

Find the angle of N
Will give branialist

Answers

I learned this last year and I Forgot, sorry I couldn’t help but stay safe!

Answer:

n=66

Step-by-step explanation:

6+12x+120+80+19x-1=360

205+31x=360

31x=155

x=5

cot? 2x + cos2x + sin’ 2x = csc? 2x
Need help with 40

Answers

Answer:

[tex]\rule{100mm}{0.1mm}[/tex]

    [tex]\cot^2(2x)+\cos^2(2x)+\sin^2(2x)=\csc^2(2x)[/tex]

[tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +[(\cos^2(2x)+\sin^2(2x)]=\csc^2(2x)[/tex]

                               [tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +1=\csc^2(2x)[/tex]

                    [tex]\dfrac{\cos^2(2x)+\sin^2(2x)}{\sin^2(2x)}=\csc^2(2x)[/tex]

                                    [tex]\dfrac{1}{sin^2(2x)} =\csc^2(2x)[/tex]

                                     [tex]\boxed{\csc^2(2x)=\csc^2(2x)}[/tex] ✔

[tex]\rule{100mm}{0.1mm}[/tex]

A line is perpendicular to
y = -x-9
What is the slope of this
perpendicular line?
A. -1/4
B. 1/4
a-4
D. 4

Answers

Note: your answer options suggest as if your actual question was

y = -4x - 9 instead of y = -x-9

But, anyways I am solving with respect to both equations

Answer:

Please check the explanation.

Step-by-step explanation:

IN CASE YOUR EQUATION ⇒ y = -x - 9

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the line

[tex]y = -x-9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

Therefore, slope of the line = m = -1

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -1

perpendicular slope = – 1/m = -1/-1 = 1

Thus the slope of this  perpendicular line will be:  1

IN CASE YOUR EQUATION ⇒ y = -4x - 9

Given the line

[tex]y = -4x - 9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

Therefore, slope of the line = m = -4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -4

perpendicular slope = – 1/4 = -1/-4 = 4

Thus the slope of this  perpendicular line will be: 4

please help I need the answer!!! thanks in advance!

Answers

Answer:

0.903

Step-by-step explanation:

[tex] log_{a}8 \\ \\ = log_{a} {2}^{3} \\ \\ = 3log_{a} {2} \\ \\ = 3 \times 0.301 \\ \\ log_{a}8 = 0.903[/tex]

The correct answer is 0.903. I hope this helps.

How do you rotate triangle A",B",C" 270 degrees around the origin. coordinates A" (-1,1), B"(1,-2) and C"(0,-4)

Answers

9514 1404 393

Answer:

  rotated vertices are (1, 1), (-2, -1), (-4, 0)

Step-by-step explanation:

When the rotation direction is not specified, it is usually taken to be counterclockwise. Rotation 270° CCW is the same as rotation 90° CW. The transformation of coordinates is ...

  (x, y) ⇒ (y, -x)

Then your rotated points become ...

  A(-1, 1) ⇒ A'(1, 1)

  B(1, -2) ⇒ B'(-2, -1)

  C(0, -4) ⇒ C'(-4, 0)

_____

In the attached, the rotated triangle is shown in red. As an example, the arc through which point C is rotated is shown.

a veternarian treated 7 dogs 13 cats 4 horses and three ferrert what was the percentage of his paitents were small animals

Answers

Answer:

As per your defention, horses are the only thing considered "not small".  To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.

So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals

7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.

So,

23/27 * 100

The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.

So by doing the calculation we get

85.18%

Step-by-step explanation:

PLEASEE HELPPPppppppp

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

Answer it yourself buddy (:

Step-by-step explanation:

Evaluate the expression 15x + 4 for x = -1 1/2​

Answers

Answer:

18.5

Step-by-step explanation:

First we plug in the number

-1 1/2 is the same as -1.5

Plugging this in we will have:

15(-1.5) + 4 =

-22.5 + 4 =

-18.5

Solve this simultaneous e
x + y = 26
3x + y = 56

Answers

Answer:

x= 15 and y= 11

Step-by-step explanation:

The goal here is to solve

x + y =26 and

3x + y =56 for the variables x and y.

First, let's work on your first equation, x + y =26

After this initial survey of the equations, the system of equations we'll set out to solve is:

x+y = 26 and 3x+y = 56

Let's start by solving x+y = 26 for the variable x.

Move the y to the right hand side by subtracting y from both sides, like this:

From the left hand side:

y - y = 0

The answer is x

From the right hand side:

The answer is 26-y

Now, the equation reads:

x = 26-y

To isolate the x, we have to divide both sides of the equation by the other variables

around the x on the left side of the equation.

and this is the final solution to your equation.

Next, let's solve 3x+y = 56 for the variable y.

Move the 3x to the right hand side by subtracting 3x from both sides, like this:

From the left hand side:

3x - 3x = 0

The answer is y

From the right hand side:

The answer is 56-3x

Now, the equation reads:

y = 56-3x

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

and this is the final solution to your equation.

Now, plug the earlier result, x=26-y, in for x everywhere it occurs in

y=56-3x.

This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.

26-y evaluates to 26-y

Multiply 3 by 26-y

we multiply 3 by each term in 26-y term by term.

This is the distributive property of multiplication.

Multiply 3 and 26

1

3 × 26 = 78

Multiply 3 and -y

Multiply 1 and y

The y just gets copied along.

y

3 × -y = -3y

3*(26-y) evaluates to 78-3y

56 - 78 = -22

The answer is -22+3y

56-3*(26-y) evaluates to -22+3y

Move the 3y to the left hand side by subtracting 3y from both sides, like this:

From the left hand side:

y - 3y = -2y

The answer is -2y

From the right hand side:

3y - 3y = 0

The answer is -22

Now, the equation reads:

-2y = -22

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

The last step is to divide both sides of the equation by -2 like this:

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

-2y ÷ -2 = y

-22 ÷ -2 = 11

The solution to your equation is:

y = 11

Lastly, to find the solution for x, we plug this answer for y into the earlier result that

x=26-y.

This gives x=26-(11). Now, simplify this.

26-(11) evaluates to 15

x= 15

So, the solutions to your equations are:

x= 15 and y= 11

Answer:

(15, 11 )

Step-by-step explanation:

Given the 2 equations

x + y = 26 → (1)

3x + y = 56 → (2)

Subtract (1) from (2) term by term to eliminate y, that is

2x = 30 ( divide both sides by 2 )

x = 15

Substitute x = 15 into either of the 2 equations and solve for y

Substituting into (1)

15 + y = 26 ( subtract 15 from both sides )

y = 11

solution is (15, 11 )


Select the expression that represents the operations shown on the number line.
A 4n - n - 7n

B 8n - 2n - 14n

C 2n- în - 3žn
D 16 - 4n - 28n

Answers

Answer:

b

Step-by-step explanation:

Haylee swam for 1 and 1/2 hours on Saturday and 1 and 2/3 hours on Sunday. How many hours did she swim in all?

Answers

Answer:

She swam for 3 hours 10 minutes

x2 + kx + (k + 3) is tangent to x-axis. Find the value
of k.​

Answers

Step-by-step explanation:

Since x² + kx + (k + 3) is tangent to the x-axis, the quadratic function has a repeated root.

The discriminant is zero, so b² - 4ac = 0.

=> k² - 4(1)(k + 3) = 0

=> k² - 4k - 12 = 0

=> (k - 6)(k + 2) = 0

Hence k = 6 or k = -2.

The value of k is -2 and 6.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x² + kx + (k + 3) is tangent to the x-axis.

This means,

The equation has roots.

Now,

The determinant of the equation is equal to zero.

D = b² - 4ac

x² + kx + (k + 3) is in the form of ax² + bx + c.

a = 1

b = k

c = k + 3

Now,

D = 0

k² - 4(k + 3) = 0

k² - 4k - 12 = 0

k² - (6 - 2)k - 12 = 0

k² - 6k + 2k - 12 = 0

k(k - 6) + 2(k - 6) = 0

(k + 2) (k - 6) = 0

k + 2 = 0

k = -2

k - 6 = 0

k = 6

Thus,

k = -2 and 6.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

The graph shows a proportional relationship.

Which equation matches the graph?

A. y = 1/4x

B. y = 4x

C. y = 12x

D. y = x​

Answers

Answer:

C

Step-by-step explanation:

The equation matches the graph is y= 4x.

the correct option is B.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have line graph from which we can consider two points as (1, 4) and (3, 12).

So, the slope of line

m = (12 - 4)/ (3-1)

m= 8/ 2

m= 4

Now, using slope intercept form

y= mx+b

y= 4x + b

Now, put x= 1 and y=4 in above equation

4 = 4 + b

b= 0

So, the Equation of line is y= 4x.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ7

Find the measure of the interior angle of the polygon
48°
132
132

Answers

Answer:

48º

Step-by-step explanation:

Looks like opposite angles are congruent

The sum of 2 numbers is 892. One of the numbers is 363. What is the other number

Answers

Answer:

529

Step-by-step explanation:

892-363=529

529+363=892

Final Answer: [tex]529[/tex]

Steps/Reasons/Explanation:

We will write down the equation [tex]892 = x + 363[/tex] because we would need to get [tex]x[/tex] by itself. Doing this will make us able to find the other number.

Question: The sum of 2 numbers is 892. One of the numbers is 363. What is the other number?

Step 1: Subtract [tex]363[/tex] from both sides.

[tex]892 - 363 = x[/tex]

Step 2: Simplify [tex]892 - 363[/tex] to [tex]529[/tex].

[tex]529 = x[/tex]

Step 3: Switch sides.

[tex]x = 529[/tex]

~I hope I helped you :)~

help with this question

Answers

Answer: 50%

Step-by-step explanation: 180/390 = 1/2 =0.5

0.5*100 = 50%

No questions asked

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