Answer:
3.2 is the highest value for k that will yield a non-negative discriminant
Step-by-step explanation:
For an equation to have real numbers as solutions, its discriminant (delta value) must be bigger than zero since there are no real square root solutions for negative numbers.
![x_{1} =\frac{-b +\sqrt{\Delta} }{2a}\\x_{2} =\frac{-b -\sqrt{\Delta} }{2a}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%5Cfrac%7B-b%20%2B%5Csqrt%7B%5CDelta%7D%20%7D%7B2a%7D%5C%5Cx_%7B2%7D%20%3D%5Cfrac%7B-b%20-%5Csqrt%7B%5CDelta%7D%20%7D%7B2a%7D)
In this case, the discriminant is given by:
![\Delta = (-8)^{2} - 4*5*k \\\Delta = 64 - 20*k \\](https://tex.z-dn.net/?f=%5CDelta%20%3D%20%28-8%29%5E%7B2%7D%20-%204%2A5%2Ak%20%5C%5C%5CDelta%20%3D%2064%20-%2020%2Ak%20%5C%5C)
For k =3.2
![\Delta = 64 - 64 = 0 \\](https://tex.z-dn.net/?f=%5CDelta%20%3D%2064%20-%2064%20%3D%200%20%5C%5C)
As shown above, 3.2 is the highest value for k that will yield a non-negative discriminant and, therefore, if k > 3.2 the solutions of the expression are not real numbers.
Answer:
The final cost after tax is $46.64
Step-by-step explanation:
41 bc it is prime and the ones is 3 less than the 10s
Answer:
B. 4
Step-by-step explanation:
The formula for this equation is (x-h)²+(y-k)²=r²
So 16 is represented by r² in that equation
All you have to do is find the square root of 16, which is 4, so the answer is B. 4
Answer:
is that thing a less than sign?
Step-by-step explanation: