Answer:
f(x) has two imaginary roots and one real root.
Step-by-step explanation:
Complex roots:
I a complex number 
is a root of a polynomial, it's conjugate 
is also a root.
One root of a third degree polynomial function f(x) is -5 + 2i.
This means that -5 - 2i is another root of the polynomial, and thus, 2 of the roots are complex.
Third degree, so it has three roots, which means that the third root is real(not possible to have a complex root without it's conjugate), and thus, the correct answer is:
f(x) has two imaginary roots and one real root.
Answer:
dy/dx = 6x(x²-3)cos2x - 2(x²-3)³sin2x
Step-by-step explanation:
We use the Product Rule:
y= (x²-3)³cos2x
dy/dx = (x²-3)³ d(cos2x)/dx + cos2x * d ((x²-3)³)/dx
= (x²-3)³ * -2sin2x + cos2x * 3(x²-3)*2x
= -2sin2x*(x²-3)³ + 6xcos2x*(x²-3)
= 6x(x²-3)cos2x - 2(x²-3)³sin2x
The cost of turkey sandwiches is $3 and chef salads costs $2.
Two equations can be derived from this question:
12t + 44s = 124 equation 1
12t + 58s = 152 equation 2
Where:
t = turkey sandwiches
s = chef salads
In order to determine the value of s, the following steps would be taken:
Subtract equation 1 from 2
14s = 28
Divide both sides of the equation by 14
s = $2
Substitute for s in equation 1
12t + 44(2) = 124
12t = 88 = 124
12t = 124 - 88
12t = 36
t = 3
To learn more about simultaneous equations, please check: brainly.com/question/23589883
