The general form of the quadratic equation is :
The discriminant is :
And the general solution is :
![x=\frac{-b\pm\sqrt[]{D}}{2\cdot a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7BD%7D%7D%7B2%5Ccdot%20a%7D)
So, there are 3 situations for D
1. D = 0
So, the roots of a quadratic equation are two similar roots
2. D > 0
so, roots of a quadratic equation are two different roots
3. D < 0
so, roots of a quadratic equation are not real, two comlex roots
Answer:
(4,-1), (2,-5), and (5,-5).
Step-by-step explanation:
There is a formula for rotating points about the origin counterclockwise; r90°(x,y) = (-y,x)
I never heard of a clockwise one before.
Maybe you can use this to help you find the formula for the clockwise rotation.
Answer:
15/2
Step-by-step explanation:
5 3/4 - 1/6x = 4 1/2
move the variable to it's own side.
5 3/4 - 4 1/2 = 1/6x
change the subtracting side to have common denominators
5 3/4 - 4 2/4 = 1/6x
1 1/4 = 1/6 x
divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)
30/4 = x
reduce: 15/2 = x
Answer: $454.55
Step-by-step explanation:
Tito's weekly salary is always $ 500 per week.
But your weekly commission income depends on the sales you make. Your commissions are 55%.
If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:
We wish that 
.
Then we equate the equation to 750 and solve for the variable x.
Total sales made by Tito must be $454.55
Answer is From all those aforementioned, the true statement is: Thanh’s grade is 2.5 standard deviations below the mean of the test grades.
explanation
The z scores are standard deviations. If, for example, a tool returns a z score of +2.5, it means that the result is a standard deviation of 2.5. Very high or very low (negative) z scores associated
with very low p values are at the ends of the normal distribution.
