Answer:
The discriminant of the quadratic equation is -7.
Step-by-step explanation:
We are given the following quadratic equation in the question:

Comparing to general quadratic equation:

We have to find the discriminant of the quadratic equation.
Formula:

Putting values, we get,

Thus, the discriminant of the quadratic equation is -7.
Answer:
The slope is 4
Step-by-step explanation:
So the formula is y=mx+b. M is the slope and b would be your y intercept. So the slope is 4. (I just did this in class)
Answer and Step-by-step explanation:
6(2x + 3y - 10) is the answer.
This is because 6 can be taken out from all 3 numbers, and will create these two factors, the factors being 6 and (2x + 3y - 10).
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Answer:
Step-by-step explanation:
f(x) = (x + 3)(x - 2) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).
The axis of symmetry is a vertical line located halfway between -3 and 2:
x = -1/2.
The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).
With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.