Answer:
Step-by-step explanation:
12=3*2*2
15=5*3
12/15=4/3
8/10=4/5
no, they don't have the same value
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4.2 because millimeters are in the decimals section you just add 9 to 3
9+3=12
=4.2
Answer:
Step-by-step explanation:
You can tell by looking at the form of each equation.
y = tx
This is a straight line that passes through the origin, so it symmetric with respect to the origin.
y = x²+1
This is an up-opening parabola with vertex at (0,1), so it is symmetrical about the y-axis.
y = x²+x = (x+½)² - ¼
This is an up-opening parabola with vertex at (-½,-¼). Not symmetrical to either axis nor to the origin.
Can't tell what "y = (1 + x2)3" means. Which terms are exponents?
Answer:
![x_{1} = 0\\ x_{2} = 5 \\x_{3} =-4](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%200%5C%5C%20x_%7B2%7D%20%3D%205%20%5C%5Cx_%7B3%7D%20%3D-4)
Step-by-step explanation:
![\left[\begin{array}{cccc}1&-1&-1&-1\\2&3&5&-5\\1&-2&3&-22\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26-1%26-1%26-1%5C%5C2%263%265%26-5%5C%5C1%26-2%263%26-22%5Cend%7Barray%7D%5Cright%5D)
new
=![R_{2} -2R_{3}](https://tex.z-dn.net/?f=R_%7B2%7D%20-2R_%7B3%7D)
=
(first )new ![R_{3} = R_{3} -R_{1}](https://tex.z-dn.net/?f=R_%7B3%7D%20%3D%20R_%7B3%7D%20%20-R_%7B1%7D)
=![\left[\begin{array}{cccc}1&-1&-1&-1\\0&7&-1&39\\0&1&-4&21\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26-1%26-1%26-1%5C%5C0%267%26-1%2639%5C%5C0%261%26-4%2621%5Cend%7Barray%7D%5Cright%5D)
to make
= 0 from the new matrix;
(second ) new
= new
- (first) new ![R_{3}](https://tex.z-dn.net/?f=R_%7B3%7D)
=
------------------------- eqn k
therefore ![27x_{3}= -108\\x_{3} = -4](https://tex.z-dn.net/?f=27x_%7B3%7D%3D%20-108%5C%5Cx_%7B3%7D%20%3D%20-4)
![7x_{2}-x_{3}=39](https://tex.z-dn.net/?f=7x_%7B2%7D-x_%7B3%7D%3D39)
![x_{2} = 5](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%205)
And
from first line of equation k
![x_{1} = 0](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%200)
Hence
![x_{1} = 0\\ x_{2} = 5 \\x_{3} =-4](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%200%5C%5C%20x_%7B2%7D%20%3D%205%20%5C%5Cx_%7B3%7D%20%3D-4)