A quadratic equation has a
1 answer:
Answer:
Step-by-step explanation:
The quadratic formula is:
The discriminant of a quadratic is just the expression under the square root, or . This can tell us the number of solutions a quadratic has.
If the discriminant is:
- Positive = 2 real solutions
- Equal to Zero = 1 real double/repeated solution
- Negative = 0 real solutions, but 2 imaginary solutions
Our quadratic equation has a discriminant of 5, which is positive. Therefore, it has 2 real solutions.
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It had taken a while for me to understand the problem. From what I understood, the given pairs of points are tabulated below:
x f(x)
-7 -11
-1 1
3 9
4 11
7 17
Then, the choices are equations in terms of x. The correct equation should yield the pairs tabulated above when the x-values are substituted into the equation. So, the solution is basically just substituting x to each of those equations, then you get the corresponding y values. Check which of those question has pairs similar to the given. I suggest that you tabulate the numbers so that it would be easier for you. For me, I used MS Excel as shown in the picture. Th x-values are in the first column gathered from the given. I applied the equations to get the f(x) values. As you can see, the pairs matched with the third column. Therefore, the answer is: f(x) = 2x+3.
x f(x)
-7 -11
-1 1
3 9
4 11
7 17
Then, the choices are equations in terms of x. The correct equation should yield the pairs tabulated above when the x-values are substituted into the equation. So, the solution is basically just substituting x to each of those equations, then you get the corresponding y values. Check which of those question has pairs similar to the given. I suggest that you tabulate the numbers so that it would be easier for you. For me, I used MS Excel as shown in the picture. Th x-values are in the first column gathered from the given. I applied the equations to get the f(x) values. As you can see, the pairs matched with the third column. Therefore, the answer is: f(x) = 2x+3.