Remember that a quadratic equation is a parabola. The equation is of the type y = Ax^2 + Bx + C
A linear equation is a straight line. The equation is of the type y = MX + N
The soluction of that system is Ax^2 + Bx + C = MX + N
=> Ax^2 + (B-M)x + (C-N) = 0
That is a quadratic equation.
A quadratic equation may have 0, 1 or 2 real solutions. Those are all the possibilitis.
So you must select 0, 1 and 2.
You can also get to that conclusion if you draw a parabola and figure out now many point of it you can intersect with a straight line.
You will realize that depending of the straight line position it can intersect the parabola in none point, or one point or two points.
Answer: D (1.5,0.5)
Step-by-step explanation:
It's not negative so cross out all those questions that leaves you with C and D. Now we can see that it's past the 1 point so it's in the 1.0 range and0. Range and Cs answer has 3 y on it which is incorrect. So that leaves you with D.
Vertices are the essentially the corners of a shape. For example, a circle has zero vertices because there are no corners. A square has four because is has four corners, etc.
Addition property of equality
Division property of equality
<em><u>Solution:</u></em>
<em><u>Given inequality is:</u></em>
3x - 2 > 4

Here, Addition property of equality is used
When the same amount is added to both sides of an inequality, then the inequality is still true
3x - 2 + 2 > 4 + 2
3x > 6

Here, Division property of equality is used
When we divide both sides of an equation by the same nonzero number, the sides remain equal.

Thus the property used in each step of solving the inequality is found
Answer:
C)
Step-by-step explanation:
The one with the line that has a steep positive slope. (The slope is the x-coefficient, 3.5. This means the line goes up 3.5 units for each unit it goes to the right.)