The answer is simply 2x over 5(fraction) +1 so it the first choice
Answer:
(6, 9) (3, 0)
Step-by-step explanation:
Solve for each option using the slope formula:
Slope formula:
m = y2 - y1 / x2 - x1
m = 4 - 5 / 1 - 4
m = -1/-3
m = 1/3
This is not 3.
m = 0 - 9 / 3 - 6
m = -9 / -3
m = 3
This has a slope of 3!
m = 0 - 0 / -6 - 3
m = 0/ -9
m = 0
This is not 3.
m = 2 - 1 / 0 - 3
m = 1/-3
m = -1/3
This is not 3.
Answer:
The solution to the system is 
,
and 
Step-by-step explanation:
Cramer's rule defines the solution of a system of equations in the following way:
, 
and 
where 
, 
and 
are the determinants formed by replacing the x,y and z-column values with the answer-column values respectively. 
is the determinant of the system. Let's see how this rule applies to this system.
The system can be written in matrix form like:
![\left[\begin{array}{ccc}5&-3&1\\0&2&-3\\7&10&0\end{array}\right]\times \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}6&11&-13\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-3%261%5C%5C0%262%26-3%5C%5C7%2610%260%5Cend%7Barray%7D%5Cright%5D%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D6%2611%26-13%5Cend%7Barray%7D%5Cright%5D)
Then each of the previous determinants are given by:
Notice how the x-column has been substituted with the answer-column one.
Notice how the y-column has been substituted with the answer-column one.
Then, substituting the values:
The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. The standard form of quadratic equation is ax2 + bx + c = 0. Upon substitution, we can easily determine the discriminant. If disc. is zero, the roots are equal; if <0, then the roots are positive and non-identical; if <0, the roots are negative and imaginary.
