<span>The expression b^2-4ac is called the discriminant. If it is zero, or positive and a perfect square (like 4, 9, 25, 36, etc), the solutions to the quadratic equation will be rational numbers and factoring will work.
On the other hand, if the discriminant is positive but not a perfect square, the solutions will be irrational, and if it is negative, there are no real solutions. In either of those cases, the quadratic expression cannot be factored.
In the equation 2x^2+7x+3=0, the discriminant is b^2-4ac = 7^2 - 4*2*3= 49-24 = 25 = 5^2
That means that the solutions can be found by factoring.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.</span>
Answer:
f(x) = - 2 (x + 2)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 2, 6), thus
y = a(x - (- 2))² + 6, that is
y = a(x + 2)² + 6
To find a substitute the point (0, - 2) into the equation
- 2 = a(0 + 2)² + 6 ( subtract 6 from both sides )
- 8 = 4a ( divide both sides by 4 )
- 2 = a
f(x) = - 2(x + 2)² + 6 ← in vertex form
Answer:
Each CD cost 12.90 before tax
Step-by-step explanation:
41.10-2.40=38.7
38.7/3=12.90
Rate of Change and Slope are both the same thing. They show the amount of change on the “y-axis” as the “x-axis” moves. I hope it helps... we learned this in class about a month ago.