Answer: Ello mate, this image I provided below should help you out, let me know if you need anything else.
Step-by-step explanation:
For the first table, the y-values are not equally spaced and the ratios of y are not the same, but by plotting them and observing the graph that results, it looks like the points lie on an exponential curve. The second table is linear because when x changes by 1, y changes by 4. The third table is a quadratic model because even if the first differences of y are not the same, the second differences of y have the same value of 8. The fourth table is exponential because the ratio of y-values is 2, which is the same between each set of numbers.
First let's understand the discriminant. Discriminant is an equation of D = b²-4ac. Discriminant is to find how many solutions do the equation have. In case for Quadratic Equation, there are 3 types of solutions which are:
- No solutions or D < 0 — When D < 0, the equation does not have real roots.
- One solution or D = 0 — When D = 0, the equation has one real root.
- Two solutions or D > 0 — When D > 0, the equation has two real roots.
To find discriminant graphically, we need to know that the x-axis plane represents the solutions to the equations. All equations can be drawn as a graph. Some graphs do not intersect x-axis while some graph do.
- If a graph intersects x-axis, the equation for that graph has solutions.
- If a graph doesn't intersect x-axis, the equation doesn't have any real solutions.
You may also notice that some graphs intersect x-axis more than one point. Like I said that the x-axis represents the roots or the solutions. Intersecting x-axis "n" times means that the equation has "n" roots.
For example, if a graph intersects x-axis 8 points - the equation has 8 roots or solutions.
From the graph, the parabola intersects on x-axis just only one point. That means there is only one solution. The question asks to find the discriminant of the function. Recall that if D = 0, there's only one real root. Therefore the discriminant for the function is zero.
Answer
- The discriminant for function is zero.
Let me know if you have any doubts!
Answer:
-7/2y
Step-by-step explanation:
cancel out the Z's than youre left with -7/2y :}
