The standard form of a quadratic equation is ,
ax² + bx + c = 0.
And the formula to find the discriminant is b² - 4ac.
Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,
2x² – 9x + 2+1 = –1 + 1
2x² – 9x + 3 = 0
Next step is to compare the given equation with this equation to get the value of a, b and c.
After comparing the equations we will get a = 2, b = -9 and c = 3.
So, discriminant = b²- 4ac
=( -9)²-4 (2)(3)
= 81 - 24
= 57
So, discriminant of the given equation is 57.
57 is greater than 0 and square root of 57 will result real number.
So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.
Answer:
True
Step-by-step explanation:
The midpoint is the average of the values:
(-7 +8)/2 = 1/2
Tifania’s work is correct because the formula for circumference is 2(3.14)(r)
Answer:
Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
Step-by-step explanation:
Here the Null hypothesis would be
H0: 87% of the graduates find full-time employment in their field within the first year of graduation
H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation
Here the p values is 0.07.
Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.
Hence, option A is correct
