Answer:
x^4 -x^3 -4x^2-3
Step-by-step explanation:
f(x)=x^4−x^2+9
g(x)=x^3+3x^2+12
(f−g)(x)= x^4−x^2+9 - (x^3+3x^2+12)
Distribute the minus sign
(f−g)(x)= x^4−x^2+9 - x^3-3x^2-12
I like to line them up vertically
x^4 −x^2+9
- x^3 -3x^2-12
---------------------------
x^4 -x^3 -4x^2-3
Answer:
Step-by-step explanation:
I think it is option E) 7
Step-by-step explanation:
u can answer 1.08 or 1.08 × 10^0
Answer:
Hey Xzavier! You're in my class!! Probably shouldn't use your real name on a cheating website... I mean ya... it's funny as hell and gave me a REALLY great laugh but our teachers know websites like these exist and by using your real name you're going to get caught eventually. I'm not a rat and I won't tell Mrs. Furnia but for future reference, use a screen name...
Step-by-step explanation:
![\left[\begin{array}{cccc}1&-1&2&4\\5&2&-1&3\\0&0&0&0\\0&0&0&0\end{array}\right] \left[\begin{array}{c}w\\x\\y\\z\end{array}\right] =\left[\begin{array}{c}0\\0\\0\\0\end{array}\right] \\ \\ \left[\begin{array}{cccc}1&-1&2&4\\5&2&-1&3\\0&0&0&0\\0&0&0&0\end{array}\right|\left.\begin{array}{c}0\\0\\0\\0\end{array}\right]\ \ \ \ \ -5R_1+R_2\rightarrow R_2](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26-1%262%264%5C%5C5%262%26-1%263%5C%5C0%260%260%260%5C%5C0%260%260%260%5Cend%7Barray%7D%5Cright%5D%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dw%5C%5Cx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D0%5C%5C0%5C%5C0%5C%5C0%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%20%20%5C%5C%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26-1%262%264%5C%5C5%262%26-1%263%5C%5C0%260%260%260%5C%5C0%260%260%260%5Cend%7Barray%7D%5Cright%7C%5Cleft.%5Cbegin%7Barray%7D%7Bc%7D0%5C%5C0%5C%5C0%5C%5C0%5Cend%7Barray%7D%5Cright%5D%5C%20%5C%20%5C%20%5C%20%5C%20-5R_1%2BR_2%5Crightarrow%20R_2)
![\left[\begin{array}{cccc}1&-1&2&4\\0&7&-11&-17\\0&0&0&0\\0&0&0&0\end{array}\right|\left.\begin{array}{c}0\\0\\0\\0\end{array}\right]\ \ \ \ \ \frac{1}{7} R_2\rightarrow R_2 \\ \\ \left[\begin{array}{cccc}1&-1&2&4\\0&1&-\frac{11}{7}&-\frac{17}{7}\\0&0&0&0\\0&0&0&0\end{array}\right|\left.\begin{array}{c}0\\0\\0\\0\end{array}\right]\ \ \ \ \ R_1+R_2\rightarrow R_1](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26-1%262%264%5C%5C0%267%26-11%26-17%5C%5C0%260%260%260%5C%5C0%260%260%260%5Cend%7Barray%7D%5Cright%7C%5Cleft.%5Cbegin%7Barray%7D%7Bc%7D0%5C%5C0%5C%5C0%5C%5C0%5Cend%7Barray%7D%5Cright%5D%5C%20%5C%20%5C%20%5C%20%5C%20%20%5Cfrac%7B1%7D%7B7%7D%20R_2%5Crightarrow%20R_2%20%5C%5C%20%20%5C%5C%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26-1%262%264%5C%5C0%261%26-%5Cfrac%7B11%7D%7B7%7D%26-%5Cfrac%7B17%7D%7B7%7D%5C%5C0%260%260%260%5C%5C0%260%260%260%5Cend%7Barray%7D%5Cright%7C%5Cleft.%5Cbegin%7Barray%7D%7Bc%7D0%5C%5C0%5C%5C0%5C%5C0%5Cend%7Barray%7D%5Cright%5D%5C%20%5C%20%5C%20%5C%20%5C%20R_1%2BR_2%5Crightarrow%20R_1)
![\\ \\ \left[\begin{array}{cccc}1&0&\frac{3}{7}&\frac{11}{7}\\0&1&-\frac{11}{7}&-\frac{17}{7}\\0&0&0&0\\0&0&0&0\end{array}\right|\left.\begin{array}{c}0\\0\\0\\0\end{array}\right] \\ \\ \Rightarrow w= -\frac{3}{7} y- \frac{11}{7} z \\ x=\frac{11}{7} y+ \frac{17}{7} z \\ y=free \\ z=free \\ \\ =y\left\ \textless \ -\frac{3}{7},\frac{11}{7}1,0\right\ \textgreater \ +z\left\ \textless \ - \frac{11}{7},\frac{17}{7},0,1\right\ \textgreater \](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%26%5Cfrac%7B3%7D%7B7%7D%26%5Cfrac%7B11%7D%7B7%7D%5C%5C0%261%26-%5Cfrac%7B11%7D%7B7%7D%26-%5Cfrac%7B17%7D%7B7%7D%5C%5C0%260%260%260%5C%5C0%260%260%260%5Cend%7Barray%7D%5Cright%7C%5Cleft.%5Cbegin%7Barray%7D%7Bc%7D0%5C%5C0%5C%5C0%5C%5C0%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20w%3D%20-%5Cfrac%7B3%7D%7B7%7D%20y-%20%5Cfrac%7B11%7D%7B7%7D%20z%20%5C%5C%20x%3D%5Cfrac%7B11%7D%7B7%7D%20y%2B%20%5Cfrac%7B17%7D%7B7%7D%20z%20%5C%5C%20y%3Dfree%20%5C%5C%20z%3Dfree%20%5C%5C%20%20%5C%5C%20%3Dy%5Cleft%5C%20%5Ctextless%20%5C%20-%5Cfrac%7B3%7D%7B7%7D%2C%5Cfrac%7B11%7D%7B7%7D1%2C0%5Cright%5C%20%5Ctextgreater%20%5C%20%2Bz%5Cleft%5C%20%5Ctextless%20%5C%20-%20%5Cfrac%7B11%7D%7B7%7D%2C%5Cfrac%7B17%7D%7B7%7D%2C0%2C1%5Cright%5C%20%5Ctextgreater%20%5C%20)
