Mathematics High School

An expression is shown below. Which expression is equivalent to the expression shown?
- 2x(x + y - 3) + 3(-x + 4y) + y(3x + 5y - 3)
- 2x2(5y2 + xy + 3x + 9y
- 2x2 + 5y2 + xy - 6x +9y
- 5x2 + 5y2 + xy + 3x + 9y
- 5x2 + 5y2 + xy - 6x + 9y

Answers

Answer 1

Note: In option A, it should be "+" instead of "(".

Given:

The expression is

[tex]-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)[/tex]

To find:

The equivalent expression.

Solution:

We have,

[tex]-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)[/tex]

Using distributive property, we get

[tex]=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)[/tex]

[tex]=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y[/tex]

On combining like terms, we get

[tex]=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)[/tex]

[tex]=-2x^2+5y^2+xy+3x+9y[/tex]

The expression [tex]-2x^2+5y^2+xy+3x+9y[/tex] is equivalent to the given expression.

Therefore, the correct option is A.

Related Questions

An item on sale costs 80% of the original price. If the original price was $20 what is the sale price?

Answers

Answer:

$4.00

Step-by-step explanation:

0.80 x $20=16

$20-$16=$4.00

Please answer this it’s attach and I really need help if you scam me I will spam your questions will useless answers taking your points like you take mine.

Answers

Answer:

First blank: 4

Second blank: 3

Third blank: 8

Step-by-step explanation:

The expressions must be equivalent, yet one must read as 4 times the length of the box.

Looking at the given expression, 12x + 32, both numbers can be evenly divided by 4.

Since the blank spaces contain parenthesis, I can assume the problem is asking us to factor the numbers.

This means we put the number 4 on the outside of the parenthesis to display "4 times the side length."

4 × ? = 12

4 × 3 = 12

Substitute 12 for 3.

4 × ? = 32

4 × 8 = 32

Substitute 32 for 8.

4 (3x + 8)

The chess clubcab have at most 36 members. The are 3 times as many boys as girls in the chess club. Which inequality could be used to determine the possible number of girls, x, in the chess club?

Answers

Answer:

The number of girls is at most 9 girls

y ≤ 9

Step-by-step explanation:

The chess clubcab have at most 36 members.

At most means : Less than or equal to 36 members and it is represented by the inequality = ≤

The are 3 times as many boys as girls in the chess club.

Boys = x

Girls = y

Hence,

x = 3y

Which inequality could be used to determine the possible number of girls, x, in the chess club?

Therefore,

x + y≤ 36

3y + y ≤ 36

4y ≤ 36

y ≤ 36/4

y ≤ 9

Girls = y

The number of girls is at most 9 girls

PLEASE HELP ASAP (8th grade question)

Answers

Answer:

m∠2=35°, m∠1=35°

Step-by-step explanation:

∠2 and ∠4 equal 180° when added, so 180-145=35

all angles of a triangle equal 180°, so 180-∠3-∠2=∠1

180-110-35= 35

This is accounting plz help

Answers

Yh i think that simon may be gay? Do you think? Maybe-

Can someone help me with this problem . I have to show my work.

Answers

Answer:

Step-by-step explanation:

perimeter=2(100+16)

                =2(116)

                =232 cm

area=100(16)

       =1600 cm²

Help please I don’t understand

Answers

Answer:

Both are opposite rays

Step-by-step explanation:

[tex] \overrightarrow {OP} [/tex] and [tex] \overrightarrow {PO} [/tex] are two opposite rays, because their directions are different.

Michael deposits $875 in a savings account that pays 4.5% interest. How much money does he earn at the end of 18 months?

Answers

Answer:

I think the answer to this question is 3,500 I'm sorry if I'm wrong.

Step-by-step explanation:

Answer this for and you will eat within the next year.

Answers

its c i believe so do you need step by step?

Question 15
Some organisms reproduce both sexually and asexually.
True
False

Answers

True!

Have a good day!

HELP ME PLEASE!!!! I WILL GIVE BRAINLEST
(08.01)

Which of the following statements shows a characteristic of a statistical question? (4 points)

Group of answer choices

The question is focused.

The question allows for surveys to be conducted.

The question asks for a quantitative response.

The distribution can be broken into categories.

Answers

im pretty sure its a focused question?
Has to be focused not sure tho

Please help due today

Answers

Answer:

60 cm^2

Step-by-step explanation:

Answer:

48 cm^2

Step-by-step explanation:

Surface area of a prism is just the sum total of each individual shape's area.

SA = [(3 * 4) + (3 * 3) + (3 * 5) + (1/2 * 3 * 4) + (1/2 * 3 * 4)] cm^2

((Area of rectangle/square is base times height.

Area of triangle is one-half times base times height.))

Use a math drawing to explain why LaTeX: \frac{4}{5}=\frac{4\:\times3}{5\:\times3}\:=\frac{12}{15}4 5 = 4 × 3 5 × 3 = 12 15 .

Answers

Answer:

....................

3х2
The answer is 6

Answers

^agreed its correct good job

Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

The Answer should be 9

140-180=40

360÷40=9

Answer:

9

Step-by-step explanation:

size of each interior angle can be represented by: [tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex]

solve for n:

[tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex]                   multiply both sides by n

140ºn = 180º(n - 2)                 distribute 180º to (n - 2)

140ºn = 180ºn - 360º             subtract 180ºn from both sides

-40ºn = -360                          divide both sides by -40º

n = 9

Solve to system of linear equations by substitution

y = 2x
x + y = -9

The solution of the system is ( x , y )

Answers

Dishshiaosnfhch1334;

please help me
The measure of an exterior angle of a triangle is x. The measure of the adjacent interior angle is at least twice x. List three possible solutions for x.​

Answers

Answer:

x=exterior

y=interior

x+y=180

y is greater than or = to 2x.

So one value could be x+2x=180

3x=180

x=60

or you could do 2x+1+x=180

3x=179

x=179/3

or 2x+2+x=180

3x=178

x=178/3

Step-by-step explanation:

Simplify the expression:
-10(3x-6)
—————
3

Answers

Answer:

19/1 or 1.9

Step-by-step explanation:

61.5 dividido entre 0.750​

Answers

82

STEP BY STEP EXPLANATION:

A spinner landed on red 12 times in 50 spins.How many times would you expect it to land on red 1,000 spins?

Answers

Answer:

What you need to do is multiply 12 by 2 and then multiply 100 by 2 and then you add them which equals 240

12x2 = 24, 100x2 = 200

240

240 times

(hope that helped can plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

- The highest common factor of two numbers is 175.
The lowest common multiple of these two numbers
is 12 600.
Both numbers are greater than their highest
common factor.
Find the two numbers.

Answers

Answer:

1400, 1575

Step-by-step explanation:

Two number: 175x , 175y   (x and y no more common factor)

LCM: 175xy = 12600

xy = 72

72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor

Two number: 8*175 = 1400         9*175 = 1575

make t the subject formula h=square root of 2t-3

Answers

Square both sides:

h^2 = 2t - 3
2t = h^2 + 3
t = (h^2 + 3)/2

The subject formula for t in equation form is "t = (h² + 3)/2".

What is the equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Given, the subject formula h=square root of 2t-3

Since h = √2t-3

thus solving the equation for t

h² = 2t - 3

2t = h² + 3

t = (h² + 3)/2

Therefore, the Simplified form of the given equation in the terms of t is "t = (h² + 3)/2"

Learn more about equations here:

https://brainly.com/question/29657983

#SPJ2

ill give Brainliest..............

Answers

Answer:

x=5

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

Helppppppppppppppppppppp

Answers

Answer:

154

Step-by-step explanation:

15cm = 150 mm + 4 mm = 154

20 points, help. I have this due in like 20 minutes.

Answers

Answer:

in sequence, -7, 3, 43, -27

Step-by-step explanation:

Triangle EFG is rotated and dilated by a scale factor other than 1 to create triangle E'F'G'. Do triangle EFG and triangle EFG' have the same area? Justify your answer.
Respond in the space provided.

Answers

Answer:

yes

Step-by-step explanation:

it was just rotated not dilated

The area of triangle ΔEFG changes after rotation and dilation.

What is Scale factor?

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Suppose the scale factor is k for the dilation of triangle.

Now, new dimensions of ΔE'F'G' is k times the dimension of ΔEFG.

Area of triangle ΔEFG = 1/2 × b × h

Then, triangle area for ΔE'F'G' = 1/2 × kb × kh = k²(1/2 × b × h)

Thus, the area becomes k² times.

Hence, the given triangles ΔEFG and ΔE'F'G' do not have the same area.

To know more about scale factor click on,

https://brainly.com/question/29464385

#SPJ5

Lol there is a no way she taught us this

Answers

Answer:

it is 4,5 and 9

this is correct answer of this question

is 0.77 bigger or les than than 0.08?

Answers

0.77 is greater than 0.08

Hope this helps :D

Answer:

0.77 is bigger than 0.08

Step-by-step explanation:

0.77 > 0.08

You have to compare tenth place. In tenth place 7 is greater than 0. so 0.77 is bigger than 0.08

pls I NEED HELP PLS HELP MEEE ILL MARK BRANLIEST
Explain a time when you see Pythagorean Theorem in real life. Explain the process you would use to analyze a situation and solve a problem involving the Pythagorean theorem. Be sure to write in complete sentences!

Answers

Answer:

Below

Step-by-step explanation:

In areas that require building, such as carpentry or architecture, the Pythagorean Theorem can be used to find unknown side lengths in order to determine the lengths of building material needed to complete the triangle- a shape often used in construction due to its more durable nature.

Answer:

The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal

Step-by-step explanation:

Find two positive numbers satisfying the given requirements.
The product is 152 and the sum is a minimum.

Answers

Answer:

8 and 19

Step-by-step explanation:

To some this, let's first list all the factors of 152. They are;

1, 2, 4, 8, 19, 38, 76, 152.

Now, let's arrange them to reflect being multiplied to get 152.

Thus;

1 × 152 = 152

2 × 76 = 152

4 × 38 = 152

8 × 19 = 152

Also, let's do the same for their sum;

1 + 152 = 153

2 + 76 = 78

4 + 38 = 42

8 + 19 = 27

Looking at the figures above, the ones that their product is 152 but have the least sum are 8 and 19

Other Questions
Do you believe that abortion is murder. Please answer with 3-5 sentences and use logical reasoning. What is the evidence in an argumentative essay?the reason an opposing argument is weakthe opposing argument to the main viewpointthe relevant information that supports an argumentthe umbrella statement for all parts of an argument Why was the industrial revolution delayed in France? Answer correctly and get brainestWho trys taking over the OASIS in Ready Player One nWhich equation represents the line that passes through (-6, 7) and (-3, 6)?O y=-x+9y=-*x+5y=-3x - 11yy=-3x + 25 Why were Americans ready for a new leader in Franklin D. Roosevelt in 1932? Check all that apply.A) Many feared the expense of President Hoovers plan to pay unemployment.B) Poverty and homelessness continued to grow through the early 1930s.C) Businesses and banks were failing at alarming rates through the early 1930s. D) The unemployment rate hit 25 percent and people were desperate for money. E) President Hoovers pursuit of new government programs proved unsuccessful.F) President Hoovers inaction left people feeling like the Depression would never end. B. Solve:1. An item price at P3,600 has a 25% discount. Find thediscounted price.2. John lives twice as far from school as Mona does. Ifthe total distance that John and Mona travel everyschool day is 8.7 km, how far from school does Johnlive?3. Find two consecutive integers whose sum is 143.(hint: let x-the first integer, X+1-second integer) Solve the equation for y. 7x + y = 10 How many TOTAL atoms make up the molecule 3K2SO4? Mauritius, the Comoros, and Ghana are all islands off the coast of Africa True or false W Explain how you know that 88 is a solution to the equation x = 11 by completing the sentence below. "88 is a solution to x = 11 because...' Draw a model to show 3/4 of 16 If you cant draw a model to show You can explain it In California, as commercial farms move from areas with high-quality soil to arid regions, they will most likelyA, switch from crops to livestock.B, need to compete for scarce water.C, increase their dependency on chemicals.D, reduce the size and variety of their output.E, make their operations more sustainable. Plz help me I need this done in like 20 mins.... Need help ASAP. In the given trapezium PQRS , A and B are the mid - points of the diagonals QS and PR respectively. Prove that :1. AB [tex] \parallel[/tex] SR 2. AB = [tex] \frac{1}{2} [/tex] ( SR - PQ ) [ Hint : Join Q and B and produce QB to meet SR at C ].~Thanks in advance ! Pls will mark brainliest if right!Determine if the conditions stated would result in a unique quadrilateral?A. a trapezoid with three 12-yd sides (yes or no)B. a rhombus with a perimeter of 36 ft. and one right angle (yes or no)C. a quadrilateral with four 9-ft. sides and two acute angles (yes or no)D. a rectangle with a length that is 5-inch. less than width C. a parallelogram with a right angle, two 7-mm and two 8-mm sides A company is targeting its marketing by running an advertising campaign showing a Hmong family celebrating its traditions during the 4th of July holiday. The ad campaign features the company products being used by the children. What area of consumer decision influence is the marketing campaign using?a. American culture, an ethnic subculture, and familyb. psychological aspects of belief and attitudec. social class and word-of-mouth influence help, please...I have no idea what I'm doing :D Solve this please x^4-15x^3+56x Need an answer right away! Thank you for your time!