Hello :
<span>(3x²+kx-1) is a quadratic polynome when : a =3 , b=k , c= -1
the discriminat </span>Δ = b²-4ac ≥ 0 because ac = -3 <span><<span> 0
-4ac </span></span>>0 and b²<span>≥0
the </span> quadratic polynome has :2 solutios or 1 solution (Change of sign)
conclusion : <span>is never always positive for any value of k</span>
788/4 because there are 4 different color shirts and you end up with 197 so there are 197 students getting red shirts
Multiply then add and then subtract
Answer:
12 - 4
Step-by-step explanation:
To get the range, subtract the lowest number from the highest
The highest number is 12
The lowest number is 4
Range = 12 - 4
= 8
Answer:
False
Step-by-step explanation:
Lets call the three prime divisors of n p, q, and r, being r the largest, we know:

Now, if

then

So:

Also, for every natural greater than one, we know:
![\sqrt[3]{n}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%3C%5Csqrt%7Bn%7D)
so
![\sqrt[3]{n}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%3C%5Csqrt%7Bn%7D%20%3C%20r)
from which:
![\sqrt[3]{n} < r](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%3C%20r)
So, we see, this means the preposition is false, we can find a particular counterexample:
q=2
p=3
p*q = 6
We need to choose a prime greater than 6
r=7
n= 2 * 3 *7 = 42
![\sqrt[3]{42} = 3.4760 < 7](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B42%7D%20%3D%203.4760%20%3C%207)