How do you factor 18x^4y^2+21x^5y-6x^3y^2

Mathematics

1 answer:

DaniilM [7]3 years ago

5 0

3x^3y ( 6xy + 7x^2 − 2y ) is the factored form. Factor 3x^3y out of the equation.

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Please help it's four am and I really hate math

tangare [24]

Answer:

Step-by-step explanation:

number books = n

2xn / 15

6 0

3 years ago

An airplane has a total of 414 packets of crackers, pretzels, and peanuts available for passengers.

zhenek [66]

There is no question in Part A, but i do what i can.

Part A.
We know that:

n - number of packets of crackers
p - number of packets of pretzels

p = 2n+9

s - number of packets of peanuts

s = 3p = 3(2n+9) = 6n+27

So:

$n+p+s=414\\\\n+(2n+9)+(6n+27)=414\\\\9n+36=414\quad|-36\\\\9n=378\quad|:9\\\\\boxed{n=42}\\\\\\
p=2n+9=2\cdot42+9=\boxed{93}\\\\s=6n+27=6\cdot42+27=\boxed{279}$

There are 42 packets of crackers, 93 packets of pretzels and 279 packets of peanuts.

Part B.

x - number of rows with exactly 2 passengers
y - number of rows with exactly 3 passengers

and:

$\boxed{\begin{cases}x+y=48\\2x+3y=132\end{cases}}\\\\\\
\begin{cases}x+y=48\quad|\cdot2\\2x+3y=132\end{cases}\\\\\\
\begin{cases}2x+2y=96\\2x+3y=132\end{cases}\\\\--------(-)\\\\2x-2x+2y-3y=96-132\\\\-y=-36\\\\\boxed{y=36}\\\\\\x+y=48\\\\x+36=48\\\\x=48-36\\\\\boxed{x=12}$

There are 12 rows with exactly 2 passengers and 36 rows with exactly 3 passengers.

3 0

4 years ago

Rationalise this please

fomenos

$\frac{6}{2 \sqrt{3} } \\ \frac{3}{ \sqrt{3} } \\ \frac{3 \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } \\ \frac{3 \sqrt{3} }{3} \\ \sqrt{3 } = 1.73205$

3 0

3 years ago

K2+11k+30=(k+5)(k+ )

koban [17]

K²+11k+30
(k+5)(k+6)
k=-5,-6

5 0

4 years ago

a library checks out 4 fiction books and 2 non-fiction books an hour. How many times more fiction books do they check out than n

TiliK225 [7]

Two times more 2×2=4

4 0

3 years ago