Factor 6(×)^3+43(×)^2+79(×)+12

Mathematics

1 answer:

Marysya12 [62]3 years ago

3 0

The answer is (6x+1)•(x+4)•(x+3)

You might be interested in

Suppose your friend's parents invest $10,000 in an account paying 4% compounded annually. What will the balance be after 9 years

LiRa [457]

Answer:

$14233.12

Step-by-step explanation:

10,000(1+.04/1)^1(9)

5 0

3 years ago

Solve the system of equations by transforming a matrix representing the system of equation into reduced row echelon form.

Gekata [30.6K]

Take the augmented matrix,

$\left[\begin{array}{ccc|c}2&1&-3&-20\\1&2&1&-3\\1&-1&5&19\end{array}\right]$

Swap the row 1 and row 2:

$\left[\begin{array}{ccc|c}1&2&1&-3\\2&1&-3&-20\\1&-1&5&19\end{array}\right]$

Add -2(row 1) to row 2, and -1(row 1) to row 3:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&-3&4&22\end{array}\right]$

Add -1(row 2) to row 3:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&9&36\end{array}\right]$

Multiply through row 3 by 1/9:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&1&4\end{array}\right]$

Add 5(row 3) to row 2:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&0&6\\0&0&1&4\end{array}\right]$

Multiply through row 2 by -1/3:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&1&0&-2\\0&0&1&4\end{array}\right]$

Add -2(row 2) and -1(row 3) to row 1:

$\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&4\end{array}\right]$

So we have $\boxed{x=-3,y=-2,z=4}$ .

3 0

3 years ago

Y is directly proportional to x,and y=216 when x=2. Find y when x=7.

makkiz [27]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=216\\
x=2
\end{cases}\implies 216=k2\implies \cfrac{216}{2}=k
\\\\\\
108=k\qquad therefore\qquad \boxed{y=108x}
\\\\\\
\textit{when x = 7, what is \underline{y}?}\qquad y=108(7)$