ANSWER
The discriminant is -3
EXPLANATION
The given quadratic equation is:
![{x}^{2} + 3x - 6 = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20-%206%20%3D%200)
Comparing this equation to:
![a {x}^{2} + bx + c = 0](https://tex.z-dn.net/?f=a%20%7Bx%7D%5E%7B2%7D%20%20%2B%20bx%20%2B%20c%20%3D%200)
we have
a=1, b=3, and c=-6
The discriminant is calculated using the formula,
![D = {b}^{2} - 4ac](https://tex.z-dn.net/?f=D%20%3D%20%20%7Bb%7D%5E%7B2%7D%20%20-%204ac)
We substitute the values to get:
![D = {3}^{2} - 4(1)(3)](https://tex.z-dn.net/?f=D%20%3D%20%20%7B3%7D%5E%7B2%7D%20%20-%204%281%29%283%29)
![D = 9 - 12](https://tex.z-dn.net/?f=D%20%3D%209%20-%2012)
![D = - 3](https://tex.z-dn.net/?f=D%20%3D%20%20-%203)
We know that
[length of a circumference ]=2*pi*r
for r=3 ft
[length of a circumference ]=2*pi*3-----------> 18.84 ft
<span>The angular velocity of the particle is 18 radians per minute.
if 2pi radians (full circle)------------------> 18.84 ft
18 radians----------------------------------> X
X=18*18.84/(2*pi)---------> X=54 ft
so
</span>The linear velocity of the particle is 54 ft/minute
the answer is
54 ft/min
You move the decimal point 6 places to the right because the exponent is positive.
5.04 x 10^6 in standard form is 5040000.
Answer:
8
Step-by-step explanation:
3 divided by 4.8 = 0.625
5 divided by 0.625 = 8
I Would Say The Answer Is C