2|3x - 2|= 14 how would you solve this absolute value equation?

Answers

Answer 1

Answer: 2. |3x-2|= 14

|3x-2|=2.7/2

|3x-2|=7

x∈ {3,-5/3

Step-by-step explanation: \frac{5}{3}

Answer 2

Answer:

x = 3x = - 5/3

Step-by-step explanation:

2|3x - 2|= 14|3x - 2|= 7

1) 3x - 2 ≥ 0 ⇒ 3x ≥ 2 ⇒ x ≥ 2/3

3x - 2 = 73x = 9x = 3  is valid root as 3 ≥ 2/3

2) 3x - 2 < 0 ⇒ 3x < 2 ⇒ x < 2/3

- (3x - 2) = 73x - 2 = -73x = -5x = -5/3  is valid root as -5/3 < 2/3

Related Questions

solve the equation −12=y−11

Answers

Step-by-step explanation:

this is your answer..........

Sandra signed up for the gym during the spring special. Her credit card was charged $220.87. Is this the correct amount? Explain.

Answers

Answer:

No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87

The amount in credit card is enough to pay 12 months gym charge.

Given that, the charge for one month  is $16.99.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Number of months = 12

Let the total charge for 12 months be x.

Now, x = 16.99×12

= $203.88

Therefore, the amount in credit card is enough to pay 12 months gym charge.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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-8 and 8 are ___; they are both 8 away from zero.

Answers

Two numbers that are the same distance from zero are called opposites.

-8 and 8 are Opposites.

Two angles are supplementary if the sum of their measures is 180.

Answers

true.

two angles would be complementary if the sum of their angle measures is 90 degrees.

60 degrees and 30 degrees make a complementary angle while 90 and 90 degrees make a supplementary angle.

The midpoint of AB is M(1, -1). If the coordinates of A are (7,-4), what are the
coordinates of B?

Answers

Answer:

work is attached and shown

Nick uses 1/4 cup of vinegar for every 1 cup of olive oil when making salad dressing.
Using this recipe, how much vinegar would he need to make salad dressing with 12 cups of olive oil?

Answers

Answer:

3 cups of vinegar

Step-by-step explanation:

∵ Nick uses the amount of vinegar for every 1 cup of olive oil = [tex]\frac{1}{4}[/tex] cup

∴ He will need the amount of vinegar for 12 cups of olive oil = [tex]\frac{1}{4}\times 12[/tex] cups

                                                                                                 = 3 cups

Therefore, Nick will need 3 cups of vinegar to make salad dressing.

Suppose you are deciding whether to take a train or a car to travel 3,000 miles across a country. The train travels at 95 kilometers an hour, while a car will travel 65 miles per hour on average. Which mode of transportation will take less time? Note that 1 mi=1.6 km.

Answers

Answer:

The car

Step-by-step explanation:

Train:

1mi = 1.6 km

95km = 95/1.6 = 59.375 km

95km/h = 59.375mi//h

Car

     65mi/h

Comparative:

65 > 59.375

then:

the car is more faster

Answer:

The answer is A : the car will take less time because it travels at a faster speed. the train will travel at 95/1.6=59.03 while the car travels at 65

Step-by-step explanation:

Please help!! 2/3x-7=x

Answers

Answer:

-21

Step-by-step explanation:

Answer:

i know its already been answered but yes, it is -21

Step-by-step explanation:

hope it helps, can anyone look at my most recent question? i'll appreciate it

1 gallon of water weighs 8 1/3 pounds
30 gallons of water weighs x pounds

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ Given that [tex]1=8\frac{1}{3}[/tex] all you have to do is multiply:

[tex]8\frac{1}{3}*30=250[/tex]

So [tex]x=250[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

The answer would be about 250 pounds. So x=250 pounds

Find the exact value of sin(140°)cos(20°) – cos(140°)sin(20°)

Answers

Given :

An expression sin(140°)cos(20°) – cos(140°)sin(20°) .

To Find :

The value of given expression .

Solution :

We know ,

sin(A - B) = sin A cos B - cos A sin B

By comparing with above formula , we get :

A = 140° and B = 20° .

So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .

Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]

Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .

Hence , this is the required solution .

If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180º, where would point A' lie? (1, -1) (1, 1) (-4, -1) (-4, 1)

Answers

Answer:

Point A reamains unchanged.

Step-by-step explanation:

Let

A(1, -1)

B(1, 1)

C(-4, -1)

D (-4, 1)

REFLECTED OVER Y-AXIS:

When we reflected over Y-AXIS we have to change the sign of X-Coordinates of all vertices so, above given vertices becomes

A(-1, -1)

B(-1, 1)

C(4, -1)

D (4, 1)

REFLECTED OVER X-AXIS:

When we reflected over X-AXIS we have to change the sign of Y-Coordinates of all vertices so, above given vertices becomes

A(-1, 1)

B(-1, -1)

C(4, 1)

D (4,-1)

When we rotated over 180 degree than we have to change the signs of both coordinates of all vertices

A(1, -1)

B(1, 1)

C(-4, -1)

D (-4,1)

we can see that after the opertion of all three processes i.e  reflected over the y-axis, reflected over the x-axis, and rotated 180ºrespectively vertices are same as original vertices so, Rectangle remain unchanged. and point A is also unchanged

NEED HELP WITH THIS!

Answers

Answer: See below

Step-by-step explanation:

a.

To solve for h, we want to use algebraic properties to isolate h.

[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex]                [multiply both sides by 2]

[tex]2A=h(b_1 +b_2)[/tex]                 [divide both sides by b₁+b₂]

[tex]\frac{2A}{b_1+b_2} =h[/tex]

[tex]h=\frac{2A}{b_1+b_2}[/tex]

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

b.

To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.

Answer:

h=2A/(b1+b2)

and

b2=2A/h-b1.

Find X .


Please helpppp!! D:​

Answers

Answer:

try 6 .75. I'm not to sure but I tried

Please help will name brainliest:
Make y the subject of the formula x=a-2by²

Answers

Answer:

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Step-by-step explanation:

Given

x = a - 2by² ( add 2by² to both sides )

x + 2by² = a ( subtract x from both sides )

2by² = a - x ( divide both sides by 2b )

y² = [tex]\frac{a-x}{2b}[/tex] ( take the square root of both sides )

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Answer:

[tex]y = a - x \di2b[/tex]

Step-by-step explanation:

[tex]2b {y }^{2} = a - x[/tex]

[tex]2b {y}^{2} \div 2b = a - x \ \div 2b[/tex]

[tex] {y}^{2} = a - x \div 2b[/tex]

[tex]y = \sqrt{a - x \div 2b} [/tex]

x-7/4 =-2 I need helpp

Answers

Answer:

x = -1

Step-by-step explanation:

x-7/4=-2

x-7=-8

x=-1

For the function g(x) = x – 2x^2, find g (–3) + 13

Answers

Answer:

g( - 3) + 13 = - 2

Step-by-step explanation:

g(x) = x - 2x²

To find g( - 3) + 13 substitute the value of x that's - 3 into g(x) and add 13 to it

We have

g( - 3) + 13 = - 3 - 2(-3)² + 13

= -- 3 - 2(9) + 13

= 3 - 18 + 13

We have the final answer as

g( - 3) + 13 = - 2

Hope this helps you

plzzzzzzzz help this is math

Answers

the answer would be
m= -25

Answer:

  5

Step-by-step explanation:

Simplify the equation:

  2m -10 = -3m +15

Add 3m

  5m -10 = 15

Add 10

  5m = 25

Divide by 5

  m = 5

I Need All Three , please show work !

Answers

Answer:

1) d=25 2) d=2[tex]\sqrt{2}[/tex]  3) d=[tex]13\sqrt{2}[/tex]      

Step-by-step explanation:

[tex]d=\sqrt{(-2-1)^2+(-2-2)^2}\\ d=\sqrt{(-3)^2+(-4)^2} \\d=\sqrt{(-9)+(-16)}\\d=\sqrt{-25} \\d=5[/tex]

[tex]d=\sqrt{(5-3)^2+(-4-(-6))^2}\\ d=\sqrt{(2)^2+(2)^2} \\d=\sqrt{(4)+(4)}\\d=\sqrt{8} \\d=2\sqrt{2}[/tex]

[tex]d=\sqrt{(8-(-9))^2+(-7-0)^2}\\ d=\sqrt{(17)^2+(-7)^2} \\d=\sqrt{(289)+(49)}\\d=\sqrt{338} \\d=13\sqrt{2}[/tex]

Calculate x if the mean of 30, x, 12, 40, and 10 is equal to x.​

Answers

Answer:

23

Step-by-step explanation:

Let the mean also is x

Mean = Sum of all observations / Total no of observations

x = 30 + 12 + 40 + 10 + x / 5

5x = 92 + x

4x = 92

x = 23

Therefore 23 is the mean and also one of the numbers.

The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23.

What is mean?

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

Mean = sum of data / Number of data

It is known that,

Mean = sum of data / Number of data

x = (30 + x + 12 + 40 + 10)/5

5x = x + 92

4x = 92

x = 23

Hence "The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23".

For more about the mean,

https://brainly.com/question/17060266

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That passes through (-4,0) and is parallel to y= -2x+1

Answers

Answer:

y = -2x - 8

Step-by-step explanation:

Parallel lines always have the same slope. Here, it is -2.

So, our equation so far looks like this:

y = -2x + b, where b is the y-intercept

We need to find b. We know our line passes through (-4, 0), so let's plug -4 in for x and 0 in for y:

y = -2x + b

0 = -2 * (-4) + b

0 = 8 + b

b = -8

Since b = -8, our equation is thus y = -2x - 8.

~ an aesthetics lover

Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22. Solve for x

Answers

Answer:

         x = 35

Step-by-step explanation:

If points A, B, and C are collinear and point B is the midpoint of AC then

AB = BC

12x - 398 = 22

   + 398      + 398

 12x  =  420

  ÷12    ÷12  

  x = 35

Alan’s online test has 10 true-false questions and 5 multiple-choice questions. Each multiple-choice question has 4 different answer choices. How many different choices for answering the 15 questions are possible?

Answers

Answer:

40 possible answers

Step-by-step explanation:

20 answers from the 10 true or false questions and 20 answers from the 5 multiple choice questions

What is the ratio unknown amount (x) invested in company A to the know amount ($24) invested in company B? Write the answer as a fraction

Answers

Answer:

X/24

Step-by-step explanation:

he ratio of the unknown amount (x) invested in company A to the known amount ($24) invested in company B is X/24


can somebody help me please

Answers

Answer:

D. X = 7

Step-by-step explanation:

See image for explanation

Solve the equation and check.
7x-5= 3 + 3x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The solution is
(Simplify your answer.)
OB. The solution is all real numbers
OC. There is no solution

Answers

Answer: x = 2

OA. The solution is

(Simplify your answer.)

Step-by-step explanation:

Answer: The solution is x=2

7x - 5 = 3 - 3x

Move the variable to the left-hand side & change its sign. Move constant to the right hand side & change its sign.
7x -3x = 3 + 5

Collect like terms & Add the numbers
4x=8

Divide both sides by 4
4x/4 = 8/4

And you get x=2

Hope this helps ʕ•ᴥ•ʔ

A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel miles in 9 hours. (5 points) Blank 1:

Answers

Answer:

567 miles

Step-by-step explanation:

Total distance travelled till now = 315 miles

Total time taken to cover the above distance =  5 hours.

Distance covered in each hour = [tex]\frac{315}{5} = 63[/tex]

Thus, it means in each hour it covers the distance of 63 miles.

Assuming the same speed can be continued and maintained, the total distance that can be covered in 9 hours shall be:

63 miles in each hour [tex]\times[/tex] 9 hours = 567 miles.

Answer:

567 miles

Step-by-step explanation:

If Zöe orders a book from Store Y, how much tax will she pay? Comparison of Online Bookstores Store X Store Y Cost of book $17.00 $18.00 Tax rate 6% 8% Shipping 10% of cost before tax FREE $1.44 $2.25 $12.25 $14.40

Answers

Answer:

A

Step-by-step explanation:

just did the quiz

Answer: The answer is A on the test I got 100% on the question.

Step-by-step explanation: ed 2020

Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(7n+0.9)

Answers

Answer:

-7n - .9

Step-by-step explanation:

By distributing the - to the parentheses, you must add a - sign to each number in the parentheses. This makes the positives turn negative.

(-7n-0.9)
-7n-0.9=0
-7n=0.9
-n=7.78
n=7.78

question 7 pls help i need help pls

Answers

Answer:

112

Step-by-step explanation:

m<pmo + m<qmn = m<pmn 90+22=112

Answer:

112

Step-by-step explanation:

add 90 and 22


distance between each pair of points
(0.4). (8. -2)

Answers

Answer:

10

Step-by-step explanation:

Sqrt((-8)^2+((-2)-4)^2)

The answer will be 10
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