Simplify the expression:

3x (4x-6)
—————
2x(3x)

Answers

Answer 1

Answer:

[tex]=\frac{2x-3}{x}[/tex]

Step-by-step explanation:

[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]


Related Questions

Can someone help me on this math question?

Answers

Answer:

23°.

Step-by-step explanation:

Look closely at the spots where A and C connect. They end in the same exact place, suggesting that they are the same number of degrees.

It's a no-brainer.

Jesse is in a lab examining sizes of skin cells. Cell A has a diameter of 5.8 × 10 ^-9 mm. Cell B has a diameter of 4.2 × 10 ^-7 mm.

How much longer is the diamter of Cell B than Cell A?

A. 1.6 x 10 ^-2

B. 1.6 x 10 ^-16

C. 4.14 x 10 ^-7

D. 4.14 x 10 ^-9

Answers

Answer:

The diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

Step-by-step explanation:

Diameter of Cell A = [tex]5.8 \times 10^{-9} mm[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

Now we are supposed to find How much longer is the diameter of Cell B than Cell A?

So,Diameter of Cell A =[tex]5.8 \times 10^{-9} = 5.8 \times 10^{-7} \times 10^{-2}=5.8 \times 10^{-7} \times \frac{1}{10^2} = 0.058 \times 10^{-7}[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

So, Difference in diameters = [tex]4.2 \times 10^{-7} - (0.058 \times 10^{-7})=4.14 \times 10^{-7}[/tex]

So, Option C is true

Hence the diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

hi answer for this please

Answers

Answer:

49 cubed

Step-by-step explanation:

6287-6238

ANSWER: 49 cubed!

Answer:

49 m³

Step-by-step explanation:

Volume used between August and November = 6287 - 6238

= 49 m³


Marcus can carry a maximum of 25kg of gravel at one time
How many joumeys will he need to make to shift one and
half tonnes of gravel?

Answers

Answer: 60 journeys

Step-by-step explanation:

1 ton = 1000 kgs

1.5 tons = 1500 kgs

1500/25 = 60 journeys

Answer:

55 journeys.

Step-by-step explanation:

907185 gm = 1 ton

453592.5 gm = 1/2 ton

1360777.5 gm = 1 1/2 ton

Convert to kg (1000g= 1kg)

Then divide by 25kg

=1360.7775/25 = 54.4311

Round up decimal to 1

= 55 journeys

Line d is parallel to line c in the figure below. Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6. Which statements about the figure are true? Select three options. Vertical angles prove that Angle 2 is congruent to angle 5. In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles. Vertical angles prove that Angle 3 is congruent to angle 6. The triangles are similar because alternate interior angles are congruent. In the two similar triangles, Angle 2 and Angle 4 are corresponding angles. The triangles are similar because corresponding sides are congruent.

Answers

Answer:

Its the 2nd, 3rd, and 4th answer.

Step-by-step explanation:

i figured it out cause i did somehow

Answer:

it is 2 3 and 4 on edge 2021

Step-by-step explanation:

have a good day because i said so but mostly because you want to....ok bye love you

2(x-3)=16 solve for x

Answers

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

[tex]2\left(x-3\right)=16\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2\left(x-3\right)}{2}=\frac{16}{2}\\Simplify\\x-3=8\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\x-3+3=8+3\\x=11[/tex]

Answer:

tbh idk ask someone else. i take pre-cal

Step-by-step explanation:

how much is a mass in kilograms ?

Answers

Answer:

1,000 grams, we have 1 kilogram

Step-by-step explanation:

Step-by-step explanation:

1000 grams in 1 kilograms

Javier is building a model train. He has enough track for a train that is

2.5 meters long. Does Javier have enough track for a train with 15 cars?

Each car will be 16 centimeters long.

Answers

He doesn’t have enough for both to be on at a time but if the cars are on without the train the cars will take up 2.4 meters leaving them with an extra .1 meters of length

Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.

What is unit conversion?

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometres, or feet, or any other measure of length.

Given that, Xavier is building a model train. He has enough track for a train that is 2.5 meters long. We need to find if Javier have enough track for a train with 15 cars or not if each car will be 16 centimetres long

The length of each car is 16 cm

Therefore, length of 15 cars = 16 × 15 = 240 cm

Converting the units,

240 cm = 2.4 m

Since, The train is 2.5 m long, and he has enough track for it.

Hence, Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.

For more references on unit conversion, click;

https://brainly.com/question/19420601

#SPJ5

please help!

Given:
AB = BC

ADB =
a. 30
b. 37.5
c. 60

Answers

The Correct answer is B

The measure of the angle is ∠ADB=60

What is the angle sum property of a triangle?

The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°

Given here: ∠A =∠B=60

By triangle sum property we must have ∠A +∠B+∠D=180

                                                                                 ∠D=60

Thus the triangle must be an equilateral triangle with all its angles equal to 60

Hence, The measure of the angle is ∠ADB=60

Learn more about triangles here:

https://brainly.com/question/29133099

#SPJ2

                                                                                 

The function ƒ(x) = 4x + 1 is transformed to g(x) = 2x + 1. What type of transformation has occurred? A) Reflection and Vertical Translation B) Rotation C) Reflection D) Rotation and Vertical Translation

Answers

Answer:

B) Rotation

Step-by-step explanation:

The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.

Answer:

rotation

Step-by-step explanation:

what is the difference for -22 - (-26)​

Answers

______________________________

Hey!!!

-22-(-26)

= -22+26

= 4

So the answer is 4.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

____________________________

-22 - (-26)​ = -22+26=4

So the answer is 4

If this helped mark me as brainliest plss

Hope this helps! Good luck!!

Solve for x pls hurry !

Answers

Answer:

x = 7

Step-by-step explanation:

7x + 68 = 2x + 103

5x = 35

x = 7

Which of the following phrases translates to 8 - m?
the difference between a number and eight
eight decreased by a number
eight subtracted from a number
a number minus eight

Answers

Answer: B) eight decreased by a number

Step-by-step explanation:

decreased = subtraction, therefore, eight decreased by a number is 8 - m.

a line passes through the point (2, -9) and has a slope of -6, what is the equation for this line?

Answers

Answer:

Step-by-step explanation:

y + 9 = -6(x - 2)

y + 9 = -6x + 12

y = -6x + 3

Use intercepts to graph the equation 2x + 7y= -14.

Answers

x-intercept(s): (-7,0)

y-intercept(s): (0,-2)

I don't know what to put in theboxes.

Answers

Top left: 3
Top right: 6
Bottom left: 1
Bottom right: 2
Hope this helps!

I guess you have to put the amounts in the boxes based on your data :) hope that helped a little

I think it should go like

3|6

1|2

What is the equation of the graphed line?

a. y = 4x - 6
b. y = -4x + 6
c. y = 2/3x - 4
d. y = 3/2x - 4

Answers

Answer:

its c

Step-by-step explanation:

-4 is the y- intercept form and 2/3 is the slope

Answer:

C.

Step-by-step explanation:

Y intercept is -4 so a. and b. are out right away

the slope is up two over three so change in Y over change in X

Each banana weighs 1/2 pound. How many bananas are there in 3 pounds?

Answers

Answer:

6

Step-by-step explanation:

3 divided by 1/2 is equal to 6

Answer:

6 bananas are in 3 pounds.

Step-by-step explanation:

Each banana is 0.5 pound, and keep adding more bananas until you reach 3 pounds.

welp lol <3 find the value of x that makes j||k

Answers

Answer: C. 42

Step-by-step explanation:

(3x + 3) is the same angle as 129.

So, you have to equal them to each other.

3x + 3 = 129

Now you solve.

Subtract 3 from each sides.

3x = 126

Divide 3 from each side.

x=42

Answer:

x = 42°

Step-by-step explanation:

J//k if the the two corresponding angles are equal

which means 3x + 3 = 129

solving 3x + 3 = 129

3x = 129 - 3

3x = 126

then

x = 126/3

 = 42°

simplify the expression 125^1/3

Answers

Step-by-step explanation:

We have:

(125)^1/3

= (5^3)^1/3

= 5^(3*⅓)

= 5 Ans.

A. -3/2
B.2/3
C.-2/3
D.3/2
I need help pls

Answers

Answer:

The slope of the line is D. 3/2.

Step-by-step explanation:

D. 3/2 (go up 3 and to the right 2)

The recipe calls for 5 cups of strawberries for every 3 cups of whipped cream. Write this comparison as a ratio. A. 5:3 B. 3:5 C. 5>3 D.

Answers

Answer: the answer is A 5:3

Step-by-step explanation:

I think it is 15 but I want to see what you guys get and break it down please because sometimes people will say what they got and y'all be saying "yeah it's correct yeah" when it's really not. ​

Answers

Answer:

10 + 10 + 10 = 30

5 + 5 + 10 = 20

4 + 4 + 5 = 13

5 + 19 x 2 = 43

Step-by-step explanation:

Pair of shoes = 10

Boy = 5

2 snow cones = 4

One shoe = 5

boy + 2 snow cones + a pair of shoes (his feet) x one snow cone = 43

I really hope this helps!

Answer:

30/3=10

two shoes is 10

20-10=10

10/2=5

each person is 5

13-5=8

8/2=4

Two cones is 4

2 (only 1 cone) x 19(two cones is 4 + each person 5 =9. 9 + 10 because of the two shoes = 19) =  38

38+5(only 1 shoe) = 43

Hope this helps

Step-by-step explanation:


A bacteria colony is quickly growing in a petri dish. The number of bacteria, y , is modeled by the function y=2(10)^2 where x is the number of days since the colony started. Baelsed on the equation how many more bacteria are there on day 4 than on day 2?

A. 19800

B. 9900

C. 159600

D. 40​

Answers

Answer:

C = 159600

Step-by-step explanation:

Because its Y=2 (10) square so times by its self.

y =6x— 11
— 2x — Зу = -7

Solve the systems of equation by substitution

Answers

Step-by-step explanation:

substitute the value of y in terms of x

-2x - 3(6x-11)= -7

-2x - 18x+ 33=-7

-20x= -40

x = -40/-20

x= 2

substitute x=2 in first equation

y= 12-11

y= 1

Answer:

D (2, 1)

Step-by-step explanation:

on edge (wait just realized the other answer is correct, i thought this said smth different that was on edge)

According to the water surface area rule, a fish tank can be
stocked with one inch of fish for each twelve square inches of
surface area. The fish that you are interested in putting in your
fish tank are each 2 inches. Your fish tank has a surface area of
576 square inches. According to the water surface area rule,
what is the maximum number of fish you can put in your tank?

Answers

Answer:

24 fishes

Step-by-step explanation:

If for 1 inch of fish corresponds 12 square inches of  surface area, then for 2 inches correspond 24 square inches. Given that each fish is 2 inches, then for 1 fish 24 square inches of  surface area is needed. To know how many fish you can put in your tank, we need to solve the following proportion:

1 fish / x fish = 24 square inches / 576 square inches

x = 576/24

x = 24 fishes

I need help please!!!!!!!

Answers

Answer:

m = 1 and c = 3

Step-by-step explanation:

y = mx + c

so comparing with y = x + 3

m = 1 ( since there isn't any co-efficient of x)  and c = 3

HELP ME PLEASE! (25 POINTS!)

Destiny has $60 in a savings account that earns 3% interest, compounded annually.
To the nearest cent, how much interest will she earn in 2 years?

Answers

Answer:

Step-by-step explanation:

$60 * 3% = $1.80

y = 1.80x + $60

12 * 2 = 24

24 = x

y = 1.80(24) + $60

y = $43.20 + $60

y = $103.20

Simplify. PLEASE HELP

Answers

Answer:

0

Step-by-step explanation:

we can use difference of squares to factor the equation into (x+y)(x-y)/(x-y)

The (x-y) cancel out so the fraction becomes (x+y)

The two (x+y) also cancel out so it becomes 0

Answer:

0

Step-by-step explanation:

[tex]x+y-\dfrac{x^2-y^2}{x-y}= \\\\\\x+y-\dfrac{(x+y)(x-y)}{x-y}= \\\\\\x+y-(x+y)= \\\\\\\boxed{0}[/tex]

Hope this helps!

-2x + 4y = -2 and 6x -y = 28

Answers

Answer:

(5,2)

Step-by-step explanation:

I hope that it helped you and that I solved it correctly

(5,2) the answer is
Other Questions
Which of the following things were accomplished by the Emancipation Proclamation?Check all of the boxes that apply. Consider the function f(x)= 10^x and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of f(x)?g(x)= f(x - 6) = 10^(x-6)A. The graph of g(x) is the graph of f(x) shifted 6 units elown.B. The graph of g(x) is the graph of f(x) shifted to the left 6 units.C. The graph of g(x) is the graph of f(x) shifted 6 units up.D. The graph of g(x) is the graph of f(x) shifted to the right 6 units. Watermelon A is 2 kg lighter than watermelon B and it weighs one fifth of the weight of watermelon C. Watermelons A and C together are 3 times as heavy as watermelon B. How heavy is each watermelon? For neap tides, what must the angular alignment be between the sun, earth and moon? Which of the following is NOT a course goal? Leonard Technologies invests $ 62,000 to acquire $ 62,000 face value, 8%, fiveminusyear corporate bonds on December 31, 2014. The bonds will mature on December 31, 2019. The bonds pay interest semiannually on December 31 and June 30 every year until maturity. Assume Leonard Technologies uses a calendar year. Based on the information provided, which of the following will be included in the journal entry for the transaction on December 31, 2018?a. a debit to Interest Revenue for $5,400 b. a credit to Interest Revenue for $2,700 c. a debit to Interest Revenue for $2,700 d. a credit to Interest Revenue for $5,400 2.En la ciudad de Quito, en la temporada fra, se registran temperaturas que van desde los 5 C hasta los 18 C. En la temporada clida, el registro de la temperatura va desde los 4 C hasta los 30 C.a.Representamos estas temperaturas en forma de intervalo y como conjunto.b.A qu intervalo pertenece la temperatura de la ciudad de Quito?c.Qu temperaturas son comunes en las temporadas fra y clida?d.Qu temperaturas son posibles solo en la temporada fra?e.Qu temperaturas son posibles solo en la temporada clida? An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base? A beam of light is incident upon a flat piece of glass (n = 1.50) at an angle of incidence of 30.00. Part of the beam is transmitted and part is reflected. Determine the angle between the reflected and transmitted rays It's been a hard day's night,And I've been working like a dogI need 2 literary devices Thanks Solve the equation using the Quadratic Formula:x2 + 6x + 3 = 0 Investors take risk so that their money The door of the jail being flung open from within, there appeared, in the first place, like a black shadow emerging into sunshine, the grim and grisly presence of the town-beadle, with a sword by his side and his staff of office in his hand.Which best describes the purpose of the words black shadow, grim, grisly, and sword?to impart a sorrowful moodto impart a solemn moodto establish the early morning settingto establish the militant jailhouse setting Which statement describes the graph of the function? what is the slope line of m (0,6),(3,0) If PQRS is a rhombus, which statements must be true? Check all that apply. Which is a possible synonym for the word abstract as it is used in this sentence? The medical students were asked to abstract the information in the related case studies. Henry, Brian and Colin share some sweets in the ratio 6:4:1. Henry gets 25 more sweets than Colin. How many sweets are there altogether? If the Reagan administration hoped to turn the Afghan jihad into a crusade against Communism, it also hoped to exploited Sunni/Shia doctrinal differences, turn them into a political divide, and isolate ___________. A. Afghanistan B. Saudi Arabia C. Iraq D. Iran A bag contains 1p,20 and 5p coins 3/8 of the bag are 1p coins There are as many 5p coins as 1p coins in the bag. There are 640 coins in total. Work out the number of 20 coins in the bag