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:
4
Step-by-step explanation:
7x = x² - 8
=> x² - 7x - 8 = 0
use quadratic formula:
a = 1, b = -7, c = -8
x =
<em>(pls ignore the "A" I don't know why it's showing up)</em>
=> x =
=> x = 
=> x =
= 4 or
= -5 <em>(the answer is only 4 since it's asking for the positive solution)</em>
A) Isolate y in both inequalities
1) x + y ≥ 4 => y ≥ 4 - x
2) y < 2x - 3
B) Draw the lines for the following equalities:
1) y = 4 - x
2) y = 2x - 3
C) Shade the regions of solutions
1) The region that is over the line y = 4 - x
2) The region that is below the line y = 2x - 3
The solution is the intersection of both regions; this is the sector between both lines that is to the right of the intersection point, including the portion of the very line y = 4 - x and excluding the portion of the very line y = 2x - 3