The factors of 2x^2 + xy - 3y^2 are

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

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

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

D (2x + y)(x - 3y)​

Answers

Answer 1

Answer:

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

Step-by-step explanation:

[tex]2x^{2} +xy-3y^{2}[/tex]               Write x y as a difference

[tex]2x^{2} +3xy-2xy-3y^{2}[/tex]    Factor out x from the equation

[tex]xx(2x+3y)-yx(2x+3y)[/tex]   Factor out 2x+3y from the expression

[tex](2x+3y)x(x-y)[/tex]               <----- Answer

Answer 2

The factors of  [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex].

What are factors ?

Factors is a number or algebraic expression that divides another number or expression. i.e., with no remainder

We have,

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

Now,

Using the middle term split method,

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

Splitting the mid term;

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

Now taking commons,

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

Now again taking common factors

We get,

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

So, the factors of given expression are [tex](x - y) (2x+ 3y)[/tex].

Hence, we can say that the factors of  [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex] which are given in option [tex](B)[/tex] .

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Related Questions

PLEASE HELP!! THANK YOU!!

Answers

Step-by-step explanation:

i know the coordinates are ( 0,-3 1/2 ) or ( 0, -3.5 ) for D

Answer:

(0,-2)

Step-by-step explanation:

Parallelograms have parallel lines and equal opposite lines.

You can count.

For Ex: A is 1 above and 5 to the left of B.

So D should be 1 above and 5 to the left of C.

C is at (5,-3)

Go up 1 and left 5 and you get (0,-2)

To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make about Henry's cousin?

A.) Henry’s cousin practices with the choir
B.) Henry’s cousin has a good singing voice
C.) Henry is in the choir
D.) Henry’s cousin went to an audition

Answers

Answer:

Henry's cousin has a good singing voice

Step-by-step explanation:

Answer:

D: Henry’s cousin went to an audition.

Step-by-step explanation:

I took the test

40 miners need to ride the elevator to the bottom of the mine. The elevator can hold 9 miners at a time. How many miners will be in the elevator on its last trip?

Answers

Answer:

the answer is 4

Step-by-step explanation:

Fill in the table using this function rule.
y=29-4x

Answers

Answer:

x.1 y.25

x.3 y.17

x.5 y.9

x.6 y.5

Step-by-step explanation:

what is the value of y for which a ll b

Answers

Answer:

110

Step-by-step explanation:

what is 325 x 6 for middle school 5th grade math

Answers

Answer:

Step-by-step explanation:

1950

Answer:

1,950

Step-by-step explanation:

I plugged the numbers into a calculator but you can also do it the long way by multiplying 6 to each part of 325.

A jet liner flying east with the wind traveled 2800 km in 4 hours 40 minutes. The return trip, flying against the wind, took 7 hours. Find the rate of the wind. *

Answers

Answer:

its pog

Step-by-step explanation:

Answer:

stop cheating on ur WRMS ALgebra 1 math test

Step-by-step explanation:

ik where u live

Find the midpoint of the segment with the following endpoints.
(10, 7) (2, 1)

Answers

Answer:

(6,4)

Step-by-step explanation:

Midpoint=((x1+x2)/2 ,(y1+y2)/2)

((10+2)/2 ,(7+1)/2)

(6,4)

x1=10

x2=2

y1=2

y2=1

fing the sum of the interior angle measures of the polygon ​

Answers

The sum of interior angle is
(6-2)x180
= 720

Match each expression to its simplified answer
9x-3y + 5y

Answers

Answer:

9x + 2y

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

9x - 3y + 5y

Step 2: Simplify

Combine like terms (y):                    9x + 2y

A rose bush grew from 24 inches to 36 inches in two weeks. What was the percent increase?

Answers

Answer:

50 percent increase

Step-by-step explanation:

Answer:

50% increase

Step-by-step explanation:

36-24=12

12/24=.50

be SPEEDY! Name two
perpendicular lines and two parallel lines.

Answers

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle. Hope this helps :))

Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

2. -1/3x > 12

3. 5+x > 7

4.10-x < 30

5. 2+5x ≤ 3

6.6-2x ≥ 17

Step-by-step explanation:

a force of 12N acts for 5 s on a mass of 2 kg. What is the change in momentum of a mass of 10kg under the same condition​

Answers

Answer:

The change in momentum is: 60 N.s

Step-by-step explanation:

By Newton's second law:

F = ∆p / ∆t

Given that

∆t = 5sF = 12N

Using the formula to determine the change in momentum

F = ∆p / ∆t

∆p = F × ∆t

     = 12 × 5

      = 60 N.s

Therefore, the change in momentum is: 60 N.s

Help get brainiest if u help

Answers

Answer:

32ft by 20ft

Step-by-step explanation:

8x4 and 5x4

Focus Question: How do you determine whether a real-world context should be
represented by a linear function or an exponential function?

Answers

Answer:

Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear (exponential). If your equation has no exponents, it is linear.

Solve the equation -3(x - 14) + 9x = 6x + 42. Does the equation have one solution, no solution, or infinitely many solutions?

Answers

Hello!

[tex]\large\boxed{\text{Infinitely many solutions.}}[/tex]

-3(x - 14) + 9x = 6x + 42

Distribute the coefficient of the parenthesis:

-3(x) - 3(-14) + 9x = 6x + 42

-3x + 42 + 9x = 6x + 42

Combine like terms:

6x + 42 = 6x + 42

Both sides of the equation are the same, therefore:

There are infinitely many solutions.

AnswEr :

⠀⠀⠀⠀

Equation have Infinitely many Solutions

⠀⠀⠀⠀

______________________

⠀⠀⠀⠀

How to solve ?

⠀⠀⠀⠀

For solving such problems we need to recall equations .

⠀⠀⠀⠀

When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .

⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀

SolutiOn :

➠ - 3 ( x - 14 ) + 9x = 6x + 42

➠ -3x + 42 + 9x = 6x + 42

Now, we will bring the variable on left hand side and constants on right hand side

➠ -3x + 9x - 6x = 42 - 42

➠ -9x + 9x = 42 - 42

➠ 0 = 42 - 42

➠ 0 = 0

As we can see the equation have end with a zero the equation have indefinitely many solutions

Indefinity many solutions

━━━━━━━━━━━━━━━━━

Find the area of the rhombus! Please help!

Answers

Answer:

100m

Step-by-step explanation:

First, find the area of one triangle. Use l*w/2 to do that.

10*5=50

50/2=25

Multiply this by 4 to get the total area

25*4=100

Have a good day!

I need help with this​

Answers

Answer:

14

Step-by-step explanation:

add

What is it will mark Brainliest

Answers

Answer: i don't really know this but i think it´s (3,4)

Step-by-step explanation:

60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?

Answers

Answer:

16:60 = 4/15

Step-by-step explanation:

ASAP!!!!!!!!!!!! I NEED HELP!!!!! I WILL MARK BRAINLIEST!!!!!!!

Answers

I think your answer is 9, as 3 divided by 9 is 0.3 is equal to 1/3
I think the answer would be 9

During the first week of a certain month, a computer store sells 11 computers. A sale begins on the second week of the week and during the second week the computer store sells 17 computers. What was the percent increase in sales from the first week of the month to the second week of the month ?

Answers

Answer:

The percentage increase in sales is 54.45%

Step-by-step explanation:

Here, we want to calculate the percentage increase

mathematically the increase in sales is 17-11 = 6

The percentage increase is ;

6/11 * 100% = 54.45%

What is the length of DC?
O 2 units
O 3uníts
O 6uníts
O 9 unit

Answers

Answer:

The correct option is;

3 units

Step-by-step explanation:

From the given figure, we have that segment DE is parallel to segment CB of triangle ABC

According to triangle proportionality theorem we have that segment DE which is parallel to segment CB of triangle ABC, divides the other two sides the triangle ABC proportionally

We have;

[tex]\overline {DC}[/tex]/[tex]\overline {AD}[/tex]= [tex]\overline {EB}[/tex]/[tex]\overline {AE}[/tex]

[tex]\overline {DC}[/tex]/9 = 4/12

[tex]\overline {DC}[/tex]= 9 × 4/12 = 3

[tex]\overline {DC}[/tex]= 3 units

The length of the segment DC = 3 units.

help asap I have 2 min

Answers

Number one I think I’m so sorry if I’m wrong !!
Hope this helped !

Anybody know the answer to this?

Answers

Use distributive property first
12g = 8g - 12 + 11
12g = 8g - 1
4g = -1
Divide by 4
g = -1/4

Christina owns a café. The graph shows the number of cups of tea that were sold at her café each hour past noon. Based on the model, approximately how many cups of tea can Christina expect to sell during the eighth hour?

Answers

Answer:

Where's the graph? I need the graph to answer

Approximately 175 cups of tea can Christina expect to sell during the eighth hour.

We need to find how many cups of tea can Christina expect to sell during the eighth hour.

How to interpret the graph?

To interpret a graph or chart, read the title, look at the key, and read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed.

From the given graph we can see that corresponding to the x-axis for the 8th hour along the y-axis 175 cups of tea were sold.

Therefore, 175 cups of tea were sold.

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Find the value of x in the isosceles triangle shown below.
Choose 1 answer
A. x = 3
B. x = square root of 26
C. x = 6
D. x = square root of 52

Answers

Answer:

x=6

Step-by-step explanation:


What is the probability that Mark and Bobby will both choose mushrooms?

Answers

what is the rest of the question

Answer: choose mushrooms out of what?

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

f(x) = 85(1 – 0.25)x
f(x) = 85(1 + 0.25)x
f(x) = 85(0.25)x
f(x) = (85 – 0.25)x

Answers

9514 1404 393

Answer:

  (a)  f(x) = 85(1 – 0.25)^x

Step-by-step explanation:

The growth rate is -25%, so the growth factor is 1-25% = 1 - 0.25.

Each increase in the number of previous owners causes the value to be multiplied by this growth factor, so the overall multiplier is (1 -0.25)^x

The value is the initial value times this multiplier:

  f(x) = 85(1 -0.25)^x . . . . matches the first choice

The function that represents the situation is f(x) = 85 (1 - 0.25)ˣ

What is exponential decay?

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Let's call the resale value of the textbook after x owners as f(x). We know that the resale value decreases by 25% with each previous owner. This means that after the first owner, the resale value will be 75% of the original value.

After the second owner, it will be 75% of 75% (or 56.25%) of the original value.

Similarly, after the third owner, it will be 75% of 75% of 75% (or 42.1875%) of the original value, and so on.

Using this information, we can write the function f(x) as:

f(x) = 85 (0.75)ˣ

f(x) = 85(1 - 0.25)ˣ

where 85 is the original value of the textbook (when x = 0), and (0.75)ˣ represents the percentage of the original value after x owners.

Therefore, the function that represents the resale value of the textbook after x owners is described as f(x) = 85 (0.75)ˣ.

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