Given: 6|x/3| < 18
Part A: Show the step(s) to get the absolute value expression by itself.

Part B: Write the two equations used to solve the absolute value equation.

Part C: Solve the equations and check your equations.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

6|x/3| < 18

Divide by 6

6/6|x/3| < 18/6

|x/3| < 3

Now we get two equations, one positive and one negative, remembering to flip the inequality

x/3 < 3   x/3 > -3

Multiply by 3 to isolate x

x/3 *3 < 3*3  and  x/3*3 > -3*3

x < 9          and      x > -9

Rewriting

-9 < x<9

Check -12

6|-12/3| < 18

6|-4| <18

24<18  False  good

Check 0

0<18  true

Check 12

6|12/3| < 18

6|4| <18

24<18  False  good


Related Questions

factorise x+y

-ax-ay​

Answers

Answer:

Step-by-step explanation:

x+y-ax-ay

by grouping the like terms,

x-ax+y-ay

since x and y are common in all the terms,

=x(1-a) + y(1-a)

= (1-a) ( x+y)

hope this helps

plz mark it as brainliest!!!!!!!!!

The factorized expressions of (x + y)² is

x² + y² + 2xy

The factorized expressions of (-ax - ay)² is

a²x² + ay² + 2a²xy

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,

Using middle-term factorization.

1)

(x + y)²

x² + y² + 2xy

2)

(-ax - ay)²

(-ax)² + (-ay)² + 2 x (-ax)(-ay)

a²x² + ay² + 2a²xy

Thus,

The factorized expressions are:

x² + y² + 2xy

a²x² + ay² + 2a²xy

Learn more about expressions here:

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Now move points C, D, and E on the circle, and note the interior angle measurements for the quadrilateral in the table below. Notice that m∠B is predetermined, so set that angle measure first.

Answers

Answer:

Explanation:

Plato

i dont know how to do this if someone could show me how and what the answer is

Answers

Answer:

It is A because due to the slope it is a parallelogram.

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Directions: Select the correct location on the number line.
Melody's mom pays her $5 for mowing the lawn. This is $1.25 more than her mom pays her sister for emptying the dishwasher. What
does Melody's mom pay her sister for emptying the dishwasher?

Answers

5 - 1.25 = 3.75
Melody’s mom pays her sister $3.75 for emptying the dishwasher.

The breadth of a rectangle is 3cm less than the length. If its area is 88cm2
, find

its breadth.

Answers

Answer:

Step-by-step explanation:

I don't say you have to mark my ans as brainliest but don't forget to thank me if it has helped you..

Talk to a 25-year-old business professional who has a graduate degree and who is unmarried. This person can be a family member, friend, or mentor. Describe the savings and investments and risk management strategies this professional has adopted.

Answers

Answer and Step-by-step explanation:

A 25 year old business professional with a graduate degree who is unmarried has a broad number of economic strategies he can employ which includes:

1.He should begin a savings account when he gets his first paycheck.

2.He can as well invest in a 401 k retirement account in order to get matching funds from his employer.

3. He can as well invest in high risk stocks that pay a grant dividend reason been that he is single and can afford to take the risk.

Nevertheless He wil probably want to invest in buying a new or used vehicle to provide transportation for himself.

Above all, he must make provides a structured and coherent approach which will help him to easily identify, assess and manage the risk .

Analyze the diagram below and complete the instructions that follow.Find cos 45°

Answers

Answer: [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation: On the unit circle

Answer:

b

Step-by-step explanation:

PLZ HELP IM STRUGGLING IM TIMED!!

Find the area

Answers

Answer:

AB / 13 = 1/2

AB = 6.5

area = 0.5 * base * height

=0.5 * 23 * 6.5

= 75 (rounded)

Answer:

b

Step-by-step explanation:

edge 2020

Your destination is 550 miles from home. If you leave home at 8:00 am and travel 60 mph
at a consistent speed, at approximately what time will you arrive at your destination?

Plz answer fast!! I need your help

Answers

Answer:

About 9:10 I multiplied 9 time 60 with the remaining 10 and got that

Solve for x : 2x−3 = 5

Answers

Answer:

x=4

Step-by-step explanation:

2x-3=5

Add 3 to both sides

2x=8

divide both sides by 2

x=4

[tex]2x - 3 = 5 [/tex]

[tex]2x = 5 + 3 [/tex]

[tex]2x = 8[/tex]

[tex]x = 8 \2( transposing known value to one side to get the value of x)[/tex]

[tex]x = 4(bringing it to lowest term)[/tex]

The awnser yo 4(x-2+y) using distributive property to create an equivalent expression??

Answers

Answer:

4x + 4y - 8

Step-by-step explanation:

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

A mans taxable income is $15 200. He pays tax at the rate of 25% . The amount of income tax he pays is.

Please answer quickly and honest. You have 10 Seconds to complete.

Answers

Answer:

3800

Step-by-step explanation:

15200 times 0.25 is 3800

A 2-column table with 9 rows. The first column is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 6, negative 2, 0, 4, 4, 0, negative 2, negative 6, negative 10. Based on the table, which best predicts the end behavior of the graph of f(x)? As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.

Answers

Answer:

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

Step-by-step explanation:

First, you need to graph all given points in the table, that way you will be able to determine the end behavior.

Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.

So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.

Therefore, the right answer is the last choice.

Answer:

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

Step-by-step explanation:

Just took the test!!!

The surface area of a prism is 224 square inches. What is the surface area of a similar prism that has dimensions that are 1/4 the original dimensions?

Answers

Answer:

The surface area of the similar prism is 56 square inches

Step-by-step explanation:

Given surface area of prism, A = 224 square inches

The total surface area of a triangular prism = 2 x Area of triangle + ph

Area of triangle = ¹/₂bh

Where;

b is the base of the prism

h is the height of the prism

p is the perimeter of lateral surfaces

Area of prism involves the product of the dimensions, if the new dimensions is 1/4 the original dimensions;

Product of original dimensions = 224 square inches

1/4 of the product of original dimensions = 1/4 x 224 square inches

= 56 square inches

The surface area of the similar prism = 56 square inches

Thus, the surface area of the similar prism is 56 square inches

determine the slope an y intercept :
y = 3/2x + 3

Answers

Answer:

Slope: -3/2 y intercept: 3

Step-by-step explanation:

Find the volume of the cone rounded to the nearest tenth.
Answers: 1. 113.1 cm3
2. 1,224.1 cm3
3. 414.7 cm3
4. 760.3 cm3
PLEASEEEE HELPPPP!!!!​

Answers

Please do your own work and develop some brain cells you gonna need them when you get out of your house without any money. Mama papa always not gonna pay for your expenses so please study hopefully this was helpful and please do not hesitate to ask me any questions

PLEASE HELP!!!! NEED ANSWER ASAP

Answers

Answer:

X=25

Step-by-step explanation:

Since these 2 angles are vertically opposite angles so they are equal. (rule)

75°=(4x-25°)

75° + 25° = 4x

100=4x

X=100/4 = 25

___________

Hope this helps...

Identify the measure of arc HD◠.

The figure shows a circle and three secants. Points P, K, L, H, D lie on the circle. Secants R L and K H intersect in the interior of the circle. The measure of formed angle is 92 degrees. Secants D R and L R intersect in the exterior of the circle at point R. The measure of angle D R L is 38 degrees. The measure of the intercepted arc that is closest to the angle is 18 degrees. Secant R L intersects the circle at some point. The measure of arc between this point and point K is 102 degrees. Point P lies on secant R D.

Answers

it is 17 bc the 18 times 34

The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.

We have,

In the given figure, we have a circle with points P, K, L, H, and D on it. Secant RL and secant KH intersect inside the circle, forming an angle with a measure of 92 degrees.

Secant DR and secant LR intersect outside the circle at point R, forming an angle DRL with a measure of 38 degrees.

The intercepted arc closest to angle DRL has a measure of 18 degrees.

Since secant RL intersects the circle at some point, we can consider the arc between that point and point K.

The measure of this arc is given as 102 degrees.

Therefore,

The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.

Learn more about arc lengths here:

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when the value of the slope gets bigger the graph line gets

Answers

The graph line gets Smaller

Answer:

when the value of the slope gets bigger, the graph of a line gets steeper

Step-by-step explanation:

{3x + 4y = 36
{y = -1/2x + 8

Answers

Answer:

y

=

3

4

x

9

Step-by-step explanation:

The value of the square root of 13 is between

Answers

Answer:uhhhhhhhhhhhhhhhhhhh 14

Step-by-step explanation:

Cylinders A and B are similar solids. The base of cylinder A has a circumference of 47 units. The base of cylinder B has an
area of 94 units.
The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?

Answers

Answer:

yes you are right it would be cylinder b

Step-by-step explanation:

simplify the expression :
11(3p+5x)+4x-x


1)33p+58x
2)14p+58x
3)33p+19x
4)14p+19x

Answers

Answer:

58 x + 33 p thus 1) is the Answer

Step-by-step explanation:

Simplify the following:

11 (3 p + 5 x) + 4 x - x

4 x - x = 3 x:

11 (3 p + 5 x) + 3 x

11 (3 p + 5 x) = 33 p + 55 x:

33 p + 55 x + 3 x

Grouping like terms, 33 p + 55 x + 3 x = (55 x + 3 x) + 33 p:

(55 x + 3 x) + 33 p

55 x + 3 x = 58 x:

Answer:  58 x + 33 p

Answer:

1) 33p+58x is the correct answer ☺️

Step-by-step explanation:

Express -23 in the form bi where b is a real number TIME SENSITIVE

Answers

Answer:

A

Step-by-step explanation:

i stands for square root of negative 1. If you multiple i and square root of 23 you will end up with the original

a/2 = b/5

Please just help...

Answers

Evaluated: a=2b/5    :):):):):):):)

                                                                                                   

2/5a=b and5 /Answer:

Step-by-step explanation:a=

2b

show that 3/5 id bigger than 5/9

Answers

Step-by-step explanation:

the common denominator for these two is 45, as you have to times 5 by 9 to get this you will have to times 3 by 9 aswell so that fraction would be 27/45.

as you have to times 9 by 5 to get 45 you will have to times 5 by 5 which is 25 so that fraction would be 25/45

3/5=27/45 5/9=25/45

27 is bigger than 25

a man is standing on top of a cliff, 80 high, the angle of depression to a boat is 60° . calculate the distance of the boat from the base of the cliff.​

Answers

Answer:

20 :3

Step-by-step explanation:

Da distance is 20

80 - 60 = 20 BOOM PEEPS

Evaluate the expression when c= -4.
c² – 5c+2

Answers

Answer:

The answer is 38.

Step-by-step explanation:

You have to substitue c = -4 into the expression :

Let c = -4,

[tex] {( - 4)}^{2} - 5( - 4) + 2[/tex]

[tex] = 16 + 20 + 2[/tex]

[tex] = 38[/tex]

What is the mean of the following set of numbers? 35, 40, 56, 52, 67

Answers

Answer:

The mean is 50

Step-by-step explanation:

To find the mean, add up all the numbers and divide by the number of numbers

(35+ 40+ 56+ 52+ 67)/5

250/5

50

If the zeros of a function are = 2 and = 7, what was the function? Could there be more than one answer?

Answers

Answer: [tex]f(x)=x^{2} -9x+14[/tex]

Step-by-step explanation:

[tex]x=2,7[/tex]

[tex]f(x)=(x-2)(x-7)[/tex]

[tex]f(x)=x^{2} -9x+14[/tex]

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