|3x - 5| = |6x - 1|

Answers

Answer 1

Answer:

x = -4/3

Step-by-step explanation:

|3x - 5| = |6x - 1|

=> 3x - 5 = 6x - 1

=> 1 - 5 = 6x - 3x

=> -4 = 3x

=> x = -4/3

Hoped this helped.

Answer 2

Answer:

x = [tex]\frac{-4}{3}[/tex] or x = -1.333333.....

Step-by-step explanation:

3x - 5 = 6x - 1

Move the 3x to the other side by subtracting, because the 3x is positive on the left side.

-5 = 3x - 1

Move -1 to the other side by adding.

-4 = 3x

Divide by 3 to get x

[tex]\frac{-4}{3}[/tex] = x

Hope this helps! <3


Related Questions

Find n. 36 ÷ n = 4 Need this quick

Answers

[tex]\rule{300}{3}[/tex]

[tex]\text{Hi!}[/tex]

To identify which number is "n", we'll need to divide the numbers that we DO know. For instance:

[tex]\text{36}[/tex] ÷ [tex]\text{4}[/tex] = [tex]\text{9}[/tex]

[tex]\boxed{\text{9}}[/tex]

[tex]\rule{300}{3}[/tex]

How to add rational expressions.

Answers

First, some general rules to remember:

Rational expressions (fractions) can only be added or subtracted if they have a common denominator.
The numerator and denominator of a fraction may be multiplied by the same quantity. This will result in a fraction that is equivalent to the original fraction.
For a fractional answer to be in final form, the fraction must be reduced to lowest terms.
Adding or subtracting rational expressions is a four-step process:

Write all fractions as equivalent fractions with a common denominator.
Combine the fractions as a single fraction that has the common denominator.
Simplify the expression in the top of the fraction.
Reduce the fraction to lowest terms.
To see this process, we'll look at some examples.


Example 1

Step 1: To find a common denominator, start by factoring the denominators of both fractions.



The least common denominator of these two fractions is 2(x+6)(x-6).

Looking at the first fraction, we can see that the factor missing from its denominator is (x-6). In the next step, we'll multiply the top and bottom of the first fraction by (x-6).

Looking at the second fraction, we can see that the factor missing from its denominator is 2. In the next step, we'll multiply the top and bottom of the second fraction by 2.






Step 2: Now that the fractions have the same denominators, we'll create one combined fraction by adding the two fractions together:






Step 3: We'll simplify the top of the fraction. Notice that we are only simplifying the top of the fraction; the bottom of the fraction remains unchanged.



Step 4: Now we'll reduce the fraction to lowest terms










Example 2



Step 1: To find a common denominator, start by factoring the denominators of both fractions.



The least common denominator of these two fractions is (x+4)(x+1)(x+3).

Looking at the first fraction, we can see that the factor missing from its denominator is (x+3). In the next step, we'll multiply the top and bottom of the first fraction by (x+3).

Looking at the first fraction, we can see that the factor missing from its denominator is (x+4). In the next step, we'll multiply the top and bottom of the first fraction by (x+4).






Step 2: Now that the fractions have the same denominators, we'll create one combined fraction by adding the two fractions together:






Step 3: We'll simplify the top of the fraction. Notice that we are only simplifying the top of the fraction; the bottom of the fraction remains unchanged.










Step 4: Now we'll reduce the fraction to lowest terms

Solve each question with the quadratic formula
6a² + 10 = 0


I know the answer but I'm not to sure how imaginary roots work. I would really appreciate if someone could explain how imaginary roots work! :)

Answers

Answer:

[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

Step-by-step explanation:

[tex]\sf 6a^2 + 10 = 0[/tex]

We'll solve this equation using The Quadratic Formula:

[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]

[tex]\sf 6a^2 + 10 = 0[/tex]

Substitute 6: a, 0: b, 10: c

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]

→ Square 0

→ Multiply -4 * 6= -24

→ Multiply -24 * 10 = -240

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]

→ Take the square root of -240:

Multiply 2 * 6= 12

Now, Separate solutions:

[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]

Now, Separate solutions:

First, solve the equation when ± is plus:

[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

___

Now, solve it when ± is minus:

[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

__________________________________________

[tex]\sf\longmapsto 6a^2+10=0[/tex]

a=6b=0c=10

[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)

[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]

[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]

[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]

What is i?

i stands for iota.

[tex]\sf\longmapsto i=\sqrt{-1}[/tex]

A bakery made 25 dozen cookies.They sold 48 of the cookies how many are left?

Answers

Answer:

I believe it is 252 correct me if I'm wrong

Answer:

252

Step-by-step explanation:

25 dozen is 300 cookies subtract 48 and get 252


HELP ME PLEASE

r | 6 + 1 =9

please help me this is due tomorrow and it’s my last question!!
if you can’t tell what it says it says R divided by 6 plus one equals 9!

Answers

Step-by-step explanation:

[tex] \frac{r}{6 } + 1 = 9 \\ \frac{r}{6} = 9 - 1 \\ \frac{ r }{6} = 8 \\ r = 48[/tex]

Answer:

r = 48

Step-by-step explanation:

The goal is to get r on one side of the equation.

To do this do the same thing to both sides of the eqaution to keep it in balance.

r/6 + 1 = 9

Subtract 1 from both sides

r/6 = 8

multiply both sides by 6

r = 48

Use digits and symbols to write “ the product of one and three is less than the sum of one and three”

Answers

Answer:

1x3<1+3

Step-by-step explanation:

Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

Answer:

See below

Step-by-step explanation:

Missing reasons are:

2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSS

Answer:

2. Reason: Vertical angles theorem

3. Reason: Definition of vertical angles

4. Reason: Third angle theorem

5. Reason: Given

6. Reason: Given

7. Reason: Definition of bisect

8. Reason: SSS

Hoped this helped.

Determine the solution for the following equation: (8x-8)3/2=64

Answers

x=6 1/3 because you must follow PEMDAS

Answer:

X=3

Step-by-step explanation:

Edge2021

How many cubic meters of material are there in a conical pile of dirt that has radius 9 meters and height 6 meters​? Use 3.14 for π

Answers

Answer:

556

Step-by-step explanation:

I hope this helps

1) 1/2 × 4 × 2/3
2) 6 × 2/3 × 1/4
3) 8 × 2/5 × 10/12
4) 5/6 × 2/5 × 10
5) 1/9 × 3/4 × 1 ​

Answers

Answer:

1/2 times 4 4/2 2*2/3 4/3

(PICTURE PROVIDED)
A: 1 unit
B: 2 units
C: 3 units
D: 4 units

Answers

Answer:

Looks like 3 units if not try 4 units

Step-by-step explanation:

Hope this helps

i need a answer ASAP
i give extra points and brainliest and i will help you if you give me the answer!

Solve: 6 3/7 - 1 3/6
its mixed number fractions im having a really hard time with it pls help

A: 4 7/13
B: 4 39/42
C: 7 7/13
D: 7 39/42
Again, no links please! and explanation is optional.

Answers

Answer:

Option B is correct.

Step-by-step explanation:

6 3/7 = 45/7

1 3/6 = 9/6 = 3/2

=> 45/7 - 3/2

=> 90/14 - 21/14

=> 69/14

=> 4 13/14

Therefore, Option B is correct.

it is b:4 39/42 ilysm

Sara poured 3/4 of the juice from a 2 liter bottle while serving guest party.
How much juice, in liters, is still left in the bottle

Answers

Answer:The juice left in bottle is 0.5 litre

Step-by-step explanation:Sara poured 3/4 of the juice from a 2 liter bottle while serving guests at a party how many Juice in liters is still left in the bottle. 2.

On a map, 2 inches represents 60 miles. If a line between two cities measures 9 inches, how many miles apart are they?

Answers

2 inches = 60 miles:

60 miles/ 2 inches = 30 miles per inch.

30 miles per inch x 9 inches = 270 total miles.

Answer: 270 miles

Find the surface area! Please I need it quick

Answers

Step-by-step explanation:

We first find the area of a trapezium and rectangular faceFourmula to find the are of a trapezium is:Area=1/2*(B+b)*h =1/2*3.7*1.9 =3.515m²Since every rectangular face is different we gotta find each of them

Area1=4.8*2.1 =10.08 m²Area2=4.8*1.4=6.72m²Area3=4.8*2.3=11.05m²Area4=4.8*1.9=9.12m²

Now we find the area of the whole prismArea=3.515*2+10.08+6.72+11.05+9.12Area=44m²

Sorry my wireless went down!!!Hope this helps and you already know what I would like to get

A painter checks a canvas to be sure it is rectangular. One of the canvas’ diagonals measures 48 inches. If the canvas is a rectangle, what is the measure, in inches, of the other diagonal?

A.)24
B.)12
C.)96
D.)48

Answers

Answer:

D)48

Step-by-step explanation:

D) 48

Step by step explanation

is 1/4 bigger than 3/5

Answers

Answer:

No.

Step-by-step explanation:

If you plug both fractions into a calculator, you will get:

1/4 = 0.25

3/5 = 0.60

Since 25 is less than 60, 1/4 is not greater than 3/5.

The angle measurements in the diagram are represented by the following expressions

Answers

Answer:

∠ B = 45°

Step-by-step explanation:

∠ A and ∠ Bare alternate exterior angles and are congruent , then

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Then

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°

Frank practised for 4 hours and 35 minutes. If he stopped practising at 9:17 p.m, what time did he start practising?

Answers

4:42 p.m

You start with 9:17 and you subtract 4 hours. That gives you 5:17. Now you have to subtract the remaining 35 minutes. To make things easy we can make 5:17, five o-clock. We can do this by subtracting 17 then you'll get five o-clock. Now you have another 28 minutes to subtract. 5:00 - 28 = 4:42. Then you add the p.m.

What is the slope between the points (-2, 3) and (1, 0)

Answers

you’re going to use the formula: y2-y1/x2-x1
plug that in: 0 - 3/-1 - 2 = -3/-3 or 1

I need with this please! It due tonight.

Answers

Answer:

x = 17

Step-by-step explanation:

1. First, we should know that all angles in any triangle add up to 180°.

This means that x + 17 + 6x + 10 + 4x - 34 = 180

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](x+6x+4x)+(17+10-34)=180[/tex] [tex]11x -7 = 180[/tex]

Step 2: Add 7 to both sides.

[tex]11x - 7 + 7 = 180 + 7[/tex] [tex]11x = 187[/tex]

Step 3: Divide both sides by 11.

[tex]\frac{11x}{11} =\frac{187}{11}[/tex] [tex]x = 17[/tex]

Step 4: Check if solution is correct.

[tex](17)+17+6(17)+10+4(17)-34=180[/tex] [tex]17 + 17 + 102 + 10 + 68 - 34 = 180[/tex] [tex]214 - 34 = 180[/tex] [tex]180 = 180[/tex]

Therefore, x = 17.

Answer:

x=17

Reasoning:

The three interior angles of a triangle will always have a sum of 180°. Thus, you could make an algebraic equality with this information.

[tex]6x+x+4x+17+10-34=180[/tex]

[tex]11x-7=180[/tex]

[tex]11x=187[/tex]

[tex]\frac{11x}{11} =\frac{187}{11}[/tex]

[tex]x=17[/tex]

Tamara has $500 in her bank account. Tamara withdraws money to buy concert tickets. After the withdrawal, the account balance changed by $75.00
Enter the amount of money, in dollars, Tamara must deposit to return her account to the orginal balance.
Tamara must deposits

Answers

Answer: 75

Step-by-step explanation:

Answer:

500 - 425 and that id 75 so Tamara has spent 425 dollars

I’ll mark brainliest!! Please help:)

Answers

I can’t see the pic more can u edit it ms make it more bigger lol

Work out the shaded area of this shape.

Answers

Answer:

73

Step-by-step explanation:

A sports writer wants to see if a football filled with helium travels farther, on average, than a football filled with air. 11 footballs were filled with helium to the recommend pressure and 12 footballs were filled with air to the recommended pressure. The mean yardage for the helium filled footballs was 291 yards with a standard deviation of 4 yards. The mean yardage for the air filled footballs was 285 yards with a standard deviation of 2 yards. Assume the populations are normal with equal variances.

(a). Construct a 80% confidence interval for the mean difference in in yardage for the two types of footballs

Lower bound

(use 3 decimal places)

Upper bound

(use 3 decimal places)

(b). What can you conclude about the sports writer's idea that helimum footballs travel farther, on average?

Answers

6900 yards total unless it’s Lamar Jackson

Help me out! Find the value of x angle theorems part 3 triangle

Answers

Answer:

x = 3

Step-by-step explanation:

The triangles are similar.

x + 9 is twice 2x.

x + 9 = 2(2x)

x + 9 = 4x

9 = 3x

x = 3

A color printer prints 10 pages in 3 minutes.
How many minutes does it take per page?

Answers

1.6 is the answer …….

Answer:

3.3 secs

Step-by-step explanation:

divide the pages by the minutes

levi finds a skateboard that sells 139.99. the store charges 6% sales tax about how much money will he have to spend for his skateboard?

Answers

The amount Levi spends on this skateboard is $148.39.

Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.

The amount Levi spends on this skateboard = value of the tax + cost of the skateboard

value of the tax = 6% x $139.99

0,06 x $139.99 = $8.40

The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39

To learn more about taxes, please check: https://brainly.com/question/19540033

Find the quotient of
4
5
and
9
10

Give your answer as a fraction in its simplest form.

Answers

Answer:

8/9

Step-by-step explanation:

4/5 ÷ 9/10

4/5 x 10/9

40/45 or 8/9

A division is a process of splitting a specific amount into equal parts.8/9 is the quotient for 4/5 ÷ 9/10.

What is Division?

a division is a process of splitting a specific amount into equal parts.

While doing division process we have some important parts of division which are dividend, divisor, remainder and Quotient.

In the given problem 4/5 is he divisor and 9/10 is the divisor.

Four by five divided by nine by ten

4/5 ÷ 9/10

When two fractions are divided, the division turn to multiplication when the denominator fraction shifts to up.

4/5 x 10/9

Cross over the fraction with 5.

40/45

8/9

Hence 8/9 is the quotient for 4/5 ÷ 9/10.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ5

√(7+√(24))÷2+√(7−√(24))÷2​

Answers

Answer:

The exact form is √(7+√(24))÷2+√(7−√(24)) over 2. The decimal form is 2.44948974....

Step-by-step explanation: Hope this will help you! :D

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