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2 years ago

18x3 + 6x2y - 9x2 - 3xy factor completely

Mathematics

1 answer:

lutik1710 [3]2 years ago

7 0

Answer:

$\sf 3x(3x+y)(2x-1)$

Step-by-step explanation:

Given expression:

$\sf 18x^3 + 6x^2y - 9x^2 - 3xy$

Factor out common term $\sf 3x$ :

$\sf \implies 3x(6x^2 + 2xy - 3x - y)$

Factor $\sf (6x^2 + 2xy - 3x - y)$

Rearrange:

$\sf \implies 6x^2 - 3x+ 2xy - y$

Factor pairs of terms:

$\sf \implies 3x(2x-1)+ y(2x - 1)$

Factor out common term (2x - 1):

$\sf \implies (3x+y)(2x-1)$

Final solution:

$\sf \implies 3x(3x+y)(2x-1)$

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X + y = 5 2x - y = 1 substitution method

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2 years ago

Read 2 more answers

Express 3.01 as a mixed number

Len [333]

The three would be the whole number while 01 would be the fraction. And since the 1 is 2 places from the decimal it would mean that it is going to be out of 100. Therefore the answer is 3 1/100

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3 years ago

One positive number is 5 times another number. The difference between the two is 1480.

Stella [2.4K]

Hey there!

Let's create a systems of equations with x and y to find our numbers.

x=5y

x-y=1480

Let's plug our x value into the second equation.

5y=y=1480

4y=1480

y=370

Now we multiply this number by five as the first equation says to get our x.

x=1850

Our numbers are 1850 and 370.

I hope this helps!

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3 years ago

3x - 7y = 11<br> What is y equal to?

lara31 [8.8K]

Answer:

3.666666667

Step-by-step explanation:

Simplifying

3x + -7y = 11

Solving

3x + -7y = 11

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7y' to each side of the equation.

3x + -7y + 7y = 11 + 7y

Combine like terms: -7y + 7y = 0

3x + 0 = 11 + 7y

3x = 11 + 7y

Divide each side by '3'.

x = 3.666666667 + 2.333333333y

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3 years ago

Hanson is at a ball game with his family. he goes to the concession stand to buy soft pretzels and water bottles for everyone. a

guajiro [1.7K]

The system of equation that can be used to represent the situation is as follows:

x + y = 16

2x + 3.5y = 47

The number of water bottle bought = 6

The number of pretzel bought = 10

Let

x = number of water bottle bought

y = number of pretzel bought

Hanson buys 16 items. Therefore,

x + y = 16

Hanson spends a total of $47. Therefore,

2x + 3.5y = 47

<h3>Combined System of equation:</h3>

x + y = 16
2x + 3.5y = 47

Therefore, let multiply equation(i) by 2

2x + 2y = 32

2x + 3.5y = 47

1.5y = 15

y = 15 / 1.5

y = 10

x + 10 = 16

x = 6

learn more on system of equation: brainly.com/question/20313322?referrer=searchResults

7 0

2 years ago