<span>The discriminant of a quadratic equation is the b^2-4ac portion that the square root is taken of. If the discriminant is negative, then the function has 2 imaginary roots, if the discriminant is equal to 0, then the function has only 1 real root, and finally, if the discriminant is greater than 0, the function has 2 real roots. So let's look at the equations and see which have a positive discriminant.
f(x) = x^2 + 6x + 8
6^2 - 4*1*8
36 - 32 = 4
Positive, so f(x) has 2 real roots.
g(x) = x^2 + 4x + 8
4^2 - 4*1*8
16 - 32 = -16
Negative, so g(x) does not have any real roots
h(x) = x^2 – 12x + 32
-12^2 - 4*1*32
144 - 128 = 16
Positive, so h(x) has 2 real roots.
k(x) = x^2 + 4x – 1
4^2 - 4*1*(-1)
16 - (-4) = 20
Positive, so k(x) has 2 real roots.
p(x) = 5x^2 + 5x + 4
5^2 - 4*5*4
25 - 80 = -55
Negative, so p(x) does not have any real roots
t(x) = x^2 – 2x – 15
-2^2 - 4*1*(-15)
4 - (-60) = 64
Positive, so t(x) has 2 real roots.</span>
Answer:
This was an accident, can you delete this? Sorry
Step-by-step explanation:
Answer:
In each of the 4 smoothies there will be 
of orange juice.
Step-by-step explanation:
Given:
Number of gallons of orange juice = 
Number of friends = 4
We need to find the gallon of orange juice will be in each of the 4 smoothies.
Solution:
To find the gallon of orange juice will be in each of the 4 smoothies we will divide Number of gallons of orange juice with Number of friends.
framing in equation form we get;
gallon of orange juice will be in each of the 4 smoothies = 
Hence in each of the 4 smoothies there will be of orange juice.
Just plug and chug
f(-3)= 10
f(-2)= 4
f(-1)= 2
f(0)= 4
f(1)= 10
Answer:
-168
Step-by-step explanation:
if this is right but hopefully
