I'll tell you the answer but should I graph it, solve for x, solve for y, or what should I solve for?
Answer:
![\text{D. }b^2-4ac>0](https://tex.z-dn.net/?f=%5Ctext%7BD.%20%7Db%5E2-4ac%3E0)
Step-by-step explanation:
The equation
represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.
For any quadratic:
- If the discriminant is positive, or greater than 0, the quadratic has two solutions
- If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).
- If the discriminant is negative, or less than 0, the quadratic has zero solutions
In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have
.
Answer:
![- \frac{1}{3}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20)
Step-by-step explanation:
The only thing important in this question in the original equation is the slope, which is 3, the multiplyer for x. To find the opposite slope follow the steps below.
The first step is to make the original slope into a fraction.
![\frac{3}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B1%7D%20)
Then flip the numerator and denominator.
![\frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20)
Now multiply this value by -1.
![\frac{1}{3} \times ( - 1) = - \frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%20%28%20-%201%29%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20)
There is the opposite slope of 3.
Answer: 11m-3
Step-by-step explanation: Add -m and +12m to get 11m. Then add -17 and +14 to get -3.