What is the simplest form of

2(3x-2y) + 3(x-3y)

Answers

Answer 1

Answer:

9x - 13y

Step-by-step explanation:

2(3x - 2y) + 3(x - 3y)

Use distributive law a(b + c) = ab + ac

⇒ 2·3x - 2·2y + 3·x - 3·3y

⇒ 6x - 4y + 3x - 9y

Gather like terms:

⇒ 6x + 3x - 4y - 9y

Combine like terms:

⇒ 9x - 13y


Related Questions

What time will it take to obtain double of the interest on Rs. 2000 for 3 years at the rate of 15% per annum? ​

Answers

Answer:

6 years

Step-by-step explanation:

Given values :

Principal amount = Rs. 2000Time period = 3 yearsRate = 15% per annum

To Find :

Time taken to obtain twice the interest

Solving :

First, find the interest.I = PrtI = 2000 x 0.15 x 3I = 6000 x 0.15I = Rs. 900 So twice the interest = Rs. 1800Now using the [I = Prt] formula,t = I/Prt = 1800/(2000 x 0.15)t = 1800 / 300t = 6 years

The triangular right prism shown below has a triangular base whose perimeter is 22.4 inches and whose area is 15.2 inches. If its height is 9.7 inches, then which of the following is its volume in cubic inches?

Answers

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a triangular prism is given by:

Volume = Area of triangular base * height.

Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:

Volume = 15.2 * 9.7 = 147.44 in³

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

Find out more on volume at: https://brainly.com/question/12410983

Solve for value and variable. Be sure to write a proportion

Please give full explanation that would be helpful.

Answers

Answer:

Step-by-step explanation:

Basic propotionality theorem: If a line is drawn paralle to one side of a triangle and intersect other two sides in distinct points, then the line segment divide the two linesin same ratio.

[tex]\sf \dfrac{LP}{PN}=\dfrac{LO}{OM}\\\\\dfrac{x+12}{5}=\dfrac{22}{8}\\\\\text{cross multiply,}\\\\[/tex]

8*(x + 12) = 22*5

8x + 8*12 = 110

 8x + 96 = 110

        8x = 110 - 96

        8x = 14

          x = 14/8

          x = 1.75

A scientist notes the bacteria count in a petrie dish is 40. Three hours later, she notes the count has increased to 75. Using an exponential model, how many hours will it take for the bacteria count to grow from 75 to 120? Express the answer to the nearest tenth of an hour. Hint: You are NOT looking for the total time to reach 120. You are looking for the elapsed time from 75 to 120.

Answers

The number of hours it would take for the bacteria count to grow from 75 to 120 is 2 hours.

How many hours would it for the bacteria count to grow from 75 to 120?

The first step is to determine the rate of increase of the bacteria. The formula that can be used is:

g = (FV / PV)^(1/n) - 1

Where:

FV = 75PV = 40 n = 3 hours

(75/40)^(1/3) - 1 = 23.3%

The formula that can be used to determine the number of hours it would take for the population to grow from 75 to 120 is:

Number of hours =  (IN FV / PV) / r

(IN 120/75) / 0.233 = 2 hours

To learn more about time, please check: https://brainly.com/question/21841217

1. Which best describes your ability to solve quadratic equations?

Answers

Answer:

you just have to do it yourself

8,14,20, Find the 49th term.

Answers

Answer:

2,8,14,20...… the 49th term is 294.

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

294

Step-by-step explanation:

formula

an=a1 +(n-1)d

n= unknown term

d= difference between each term

8=a1

14=a2

20=a3

a49=8+(49-1)×(6)

a49= 8+ 48 ×(6)

a49= 8+ 288

a49= 294

Can somebody please help this is due very soon

Answers

Your answer is

 Slope = -1.000/2.000 = -0.500x-intercept = 7/1 = 7.00000y-intercept = 7/2 = 3.50000

Step-by-step explanation:

HELP PLEASE points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume

Answers

Answer:

D. Volume

Explanation:

volume - amount of space that a substance occupies

Here the substance is soil and planter will hold the specific volume of soil.

Which parabola will have one real solution with the line y = x – 5? y = x2 x – 4 y = x2 2x – 1 y = x2 6x 9 y = x2 7x 4

Answers

System of equations y = x² + 7x + 4 has one real root with the line y = x -5.

What is the discriminant in the quadratic equation?

A quadratic equation is the polynomial equation of two degrees in one variable. The general form of a quadratic equation is  ax² + bx + c = 0.

The quadratic equation formula for the solution of roots.

[tex]\rm (\alpha ,\beta ) = [ -b[/tex]±[tex]\rm \sqrt{b^{2} - 4ac} /2ac[/tex]]

The discriminant is the [tex]\rm \sqrt{b^{2} - 4ac}[/tex] part of the quadratic equation

If D is greater than zero then the roots are real and distinct.

If D is equal to zero then the roots are real and equal.

If D is less than zero then the roots are imaginary and unequal.

y = x² + 7x + 4

From First option, System of equations

y = x² + x – 4

y = x – 5

So, x - 5 = x² + x – 4

x² + x – 4 - x + 5 = 0

x² + 1 = 0

discriminant = b²- 4×a×c

= 0²- 4×1×1

-4 < 0, therefore the equation has no real roots.

From Second option, System of equations

y = x² + 2x – 1

y = x – 5

So, x - 5 = x² + 2x – 1

x² + 2x - 1  - x + 5 = 0

x² + x + 4 = 0

discriminant = b²- 4×a×c

= 1²-4×1×4

-15 < 0   therefore, the equation has no real roots.

From Third option, System of equations

y = x² + 6x + 9

y = x – 5

So, x - 5 = x² + 6x + 9

x² + 6x + 9  - x + 5 = 0

x² + 5x + 4 = 0

discriminant = b²- 4×a×c

= 5²-4×1×4

9 > 0 therefore, the equation has two different real roots.

From Fourth option, System of equations

y = x² + 7x + 4

y = x – 5

So. x - 5 = x² + 7x + 4

x² + 7x + 4 - x + 5 = 0

x² + 6x + 9 = 0

discriminant = b²- 4×a×c

= 6²-4×1×9 = 0

0  therefore, the equation has one real root.

Since, System of equations y = x² + 7x + 4 has one real root with the line y = x -5.

Learn more about quadratic equations;

https://brainly.com/question/2263981

Answer:

D on edge

Step-by-step explanation:

Reflect the shape A in the line x=1

What are the coordinates of the vertices of the image?
anyone who is amazing at maths please help!!!!!!!!!!!!!!!!!!!!
i am running out of time

Answers

Answer:

reflected image shown in red on attached diagram

Step-by-step explanation:

When reflecting an object in the line x = a:

reflected x-values: 2a - xreflected y-values are the same as the original y-values

So when reflecting in the line x = 1

given x-value = 2, so reflected x-value = 2(1) - 2 = 0given x-value = 4, so reflected x-value = 2(1) - 4 = -2

(2, 7) → (0, 7)

(2, 4) → (0, 4)

(4, 4) → (-2, 4)

What is the center of a circle whose equation is x2 y2 4x – 8y 11 = 0?

Answers

The equation of the circle x² + y² + 4x – 8y + 11 = 0 that has radius of 3 units and center at (–2, 4).

What is a circle?

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is x² + y² + 4x – 8y + 11 = 0

Add 9 on both sides of the equation, then we have

x² + y² + 4x – 8y + 11 + 9 = 9

x² + 4x + 4 + y² – 8y + 16 = 9

             (x + 2)² + (y – 4)² = 3²

The center of the equation is (–2, 4).

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

A. (-2, 4)

Step-by-step explanation:

i did it B)

You decide to put $2,000 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 4% per year and is compounded monthly,
how long does it take until you have $3.000 without depositing any additional funds?

Answers

Answer:

12.5 years = 216 months

Step-by-step explanation:

4% of 2000= $80

1000/80=12.5

It will take 12.5 years to make $1000 on its own without adding additonal funds.

solve for the missing side

Answers

Answer: D

Step-by-step explanation:

Olivia has a beaded necklace business. She can make 12 necklaces in 2 hours. How long will it take her to make 9 necklaces?

Answers

Answer:

1.5hours

Step-by-step explanation:

ABC is a straight line. BD=BC Angle ADB=80° Angle BDC=20° Work out the size of the angle marked x. Give reason for your answer. ​

Answers

Answer:

hai

Step-by-step explanation:

Pak Awi mau beli jam tangan Rolex hulk submarine dengan harga 300jt. Dia mau beli 2 tahun lagi

dengan asumsi harga jam naik 2% / tahun. Future Value

Uang pak awi sekarang hanya 100jt, berapa yang harus pak awi tabung tiap bulan nya agar 2 tahun lagi

dia bisa beli jam tangan tersebut, jika bunga tahunan adalah 15% / tahun (pajak = 10%) ??? Present

value. Future value. Present value annuity.

Bunga di terima per bulan, dan tetap di gulung.

Ya Berapa yang dia tabung tiap bulan

-pakai tabel

What is the constant of
proportionality? Explain what
it means.

Answers

Step-by-step explanation:

the ratio that relates two given values in what is known as a proportional relationship.

self explainatory

What is the square root of 25

Answers

Answer: 5

Step-by-step explanation:

5*5 is equal to 25

Answer:

5

Step-by-step explanation: The square root of 25 is 5 because 5x5=25 or [tex]5^{2}[/tex]=25

Helen is having a birthday
party. Her friends arrive at
her house at 8:15 p.m. They
leave three hours later. What
time do Helen's friends leave?

Answers

Answer: 11:15 p.m 5:15 p.m.

Step-by-step explanation:

System of Equations- pls help with the following problem


Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).

a) x+y=1


2x+y=5





b) x+2y = 4


x +y = 1




c) x-y=-5


x+y= 11



Pls show your work as I want to understand how to solve this type of equation.

Answers

Answer:

b no.is the correct answer.

If the coefficient of determination is 0. 12 and ssy = 225, then what is the sum of squares regression for an analysis of regression?

Answers

The coefficient of determination is the ratio of the sum of squares regression and the ssy

The sum of squares regression is 27

How to determine the sum of squares?

The given parameters are:

Coefficient of determination, R^2 = 0.12

SSy = 225

The coefficient of determination is calculated as:

R^2 = SSR/SSY

So, we have:

0.12 = SSR/225

Make SSR the subject

SSR = 0.12 * 225

Evaluate the product

SSR = 27

Hece, the sum of squares regression is 27

Read more about coefficient of determination at:

https://brainly.com/question/17237825

The sum of squares regression is 27

What is the coefficient of determination?

The coefficient of determination or R squared method is the proportion of the variance in the dependent variable that is predicted from the independent variable.

The coefficient of determination is calculated by using the following formula;

[tex]\rm R^2 = \dfrac{SSR}{SSY}\\\\ 0.12= \dfrac{SSR}{225}\\\\ SSR = 225 \times 0.12 \\\\ SSR = 27[/tex]

Hence, the sum of squares regression is 27.

Read more about coefficient of determination at:

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#SPJ3

From her window 5 m above the ground, Sherri spots a turtle on the ground at a 34° angle of depression.

To the nearest tenth of a meter, how far is the turtle from the base of the Sherri’s building?


7.4 m


4.8 m


4.1 m


3.4 m

Answers

Answer:

7.4 m it's because toes are yummy

Jim has some socks in two drawers. In one drawer he has 3 red and 6 green socks. In the other drawer he has 2 red and 2 green socks. If jim takes one sock out of each drawer, how probable is it that both will be red?

Answers

Answer:

5/6

Step-by-step explanation:

There are 5 steps to solving this problem:

Calculate the number of marbles in each drawerCalculate the fractional number of red marbles in each drawerThe answer is the number of red marbles in both drawers added together.

Using these steps, we see that:

9 in the first drawer and 4 in the other drawer  3/9 or 1/3 of the socks in the first drawer are red, and 1/2 of the socks in the second drawer are redAdding 1/3 and 1/2 together equals 5/6Therefore, the answer is 5/6!

(100 POINTS) Question 2: 6 pts
Find the zeros of the quadratic function f(x) = 2x2 + 4x - 6 from the graph.

Answers

Answer:

1 and -3

Step-by-step explanation:

The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).

From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :

[tex]\qquad \sf  \dashrightarrow \:1 \: \: and \: \: - 3[/tex]

Therefore, the correct choice is D

Please help with this question

Answers

Quadrilateral and Rhombus

Answer:

square ,rhombus, parallelogram

Step-by-step explanation:

please mark me as brainlest

Which expression has a value of 13? (2 points)

a
(20 ÷ 4) − 4 + 3 x 2
b
(18 ÷ 2) + 6 ÷ 6 + 3
c
(16 ÷ 4) + 3 x 4 − 1
d
(10 ÷ 2) − 3 + 4 x 2

Answers

Answer:

it is option B that is correct

Step-by-step explanation:

use BODMAS

B- Brackets

O-order

D-division

M-multiplication

Addition

Subtraction

Which of these would be a helpful first step in solving the equation? Check all
that apply.
8x-6 = 2x+ 24
A. subtract 6
U
B. subtract 2x
C. divide by 8
I D. add 6
E. subtract 30

Answers

Answer:

B. Subtract 2x

D. Add 6

Step-by-step explanation:

To solve this problem, isolate it by the term of x from one side of the equation.

8x-6=2x+24

First, add by 6 from both sides.

[tex]\sf{8x-6+6=2x+24+6}[/tex]

Solve.

Add.

24+6=30

Rewrite the problem down.

[tex]\sf{8x=2x+30}[/tex]

You have to subtract by 2x from both sides.

[tex]\sf{8x-2x=2x+30-2x}[/tex]

Solve.

8x-2x=6x

Rewrite the problem down.

6x=30

Then, you divide by 6 from both sides.

6x/6=30/6

Solve.

Divide the numbers goes from left to right.

30/6=5

x=5

Therefore, the solution is x=5, which is our answer.

In the correct answer is B and D.

I hope this helps you! Let me know if my answer is wrong or not.

(x^2-2x)(2x+3) is equivalent to expression

Answers

Answer:

[tex]( {x}^{2} - 2x)(2x + 3) \\ \\ ( {x}^{2} )(2x) + ( {x}^{2} )(3) + ( - 2x)(2x) + ( - 2x)(3) \\ \\ = 2 {x}^{3} + 3 {x}^{2} - 4 {x}^{2} - 6x \\ \\ = 2 {x}^{3} - {x}^{2} - 6x[/tex]

50 POINTS NEED HELP
If u = 3 inches, v = 4 inches, w = 7 inches, x = 7 inches, y = 8 inches, and z = 4 inches, what is the area of the object?
A.
52 square inches
B.
53 square inches
C.
56 square inches
D.
54 square inches

Answers

Hey so I have a question do u need to explain?

which expression is equavilent to the epression -3(4x - 2) - 2x?

A. -8x
B. -16
C. -14 - 2
D. -14 + 6

Answers

Answer:

D

Step-by-step explanation:

-3(4x - 2) - 2x

-12x + 6 -2x

-14x + 6

Find the area of the shaded region.
Group of answer choices

72

75

71

74

Answers

Answer:

72

Step-by-step explanation:

First. I counted the triangles. Then, I found the area of one triangle. Since the area of a triangle is (base*height)/2, I found the area of one triangle this way: 6x6=36. 36/2=16. After that, I then multiplied the area of the one triangle by four, since there are four triangles. 16x4=72

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