A<span> system of linear equations</span><span> means two or more linear equations.
</span>A system of two linear equations has an infinite number of solutions is the rarest case and it only happens when both the lines are same.
For example,
y = 3x+1 and 4y = 12x +8
These lines will have infinite number of solutions.
Hence,
The best answer is :
<span>B) The two equations are the same line.</span>
Answer:
1. A
2. B
3. B
4. C
Step-by-step explanation:
the words less than, greater than, less than equal to, and greater than equal to are key word you can use to solve this next time!
Answer:
symmetric property
Step-by-step explanation:
with symmetric property if x=y then both values on either side of the equal sign will be equal
Answer:
![\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D-%5Csqrt%5B3%5D%7B%5Cfrac%7By%7D%7Bx%7D%20%7D)
Step-by-step explanation:
Recall that using the chain rule we can state:
and therefore solve for dy/dx as long as dx/dt is different from zero.
Then we find dy/dt and dx/dt,
Given that
And similarly:
Therefore, dy/dx can be determined by the quotient of the expressions we just found:
now notice that we can find ![cos(t) = \sqrt[3]{y}](https://tex.z-dn.net/?f=cos%28t%29%20%3D%20%5Csqrt%5B3%5D%7By%7D)
from the expression for y,
and ![sin(t) = \sqrt[3]{x}](https://tex.z-dn.net/?f=sin%28t%29%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
from its expression for x.
Therefore dy/dx can be written in terms of x and y as:
![\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D-%5Cfrac%7Bcos%28t%29%7D%7Bsin%28t%29%7D%3D-%5Csqrt%5B3%5D%7B%5Cfrac%7By%7D%7Bx%7D%20%7D)
"·" - product
"+" - sum
x² - square of x
Answer: x · (6 + 8 · x²) = x(6 + 8x²)
