Step-by-step explanation:
The systems of linear equations can have:
1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.
Answer:
There are 9,999 positive whole numbers with 4 or less digits or less and one whole number which is neither positive nor negative.
This gives us 9,999+9,999+1 or 19,999 , whole numbers composed of 4 digits or less.
Answer: The image is (6,-3)
Step-by-step explanation:
The coordinates of R is ( 4,-2) and to find the image using the scale factor 1.5 you will multiply the x coordinates by 1.5 and the y coordinate also by 1.5 to have the new image of R.
4 * 1.5 = 6
-2 * 1.5 = -3
The new coordinates care (6, -3)
Answer:
2,196
Step-by-step explanation:
6 times 366 is 2,196
So the equation to find the discriminant is √(b^2 - 4ac), with a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation above, we can solve for it as such:
Since the discriminant is greater than zero and a perfect square, this means that there are 2 real, rational solutions to this polynomial.
