Answer: y=300⋅2.03x
Step-by-step explanation:
Answer:
A: -11
B: Two complex solutions
Step-by-step explanation:
The discriminant of this equation is 3^2-20=9-20=-11. Since the discriminant is negative, its square root will be an imaginary number, and there will be two complex solutions. Hope this helps!
let's recall the remainder theorem.
we know that (x-1) is a factor, that means x -1 = 0 or x = 1.
since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.
![f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2Bkx-11%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C%5Cstackrel%7B0%7D%7Bf%281%29%7D%3D3%281%29%5E3%2Bk%281%29-11%5Cimplies%20%5Cstackrel%7Bf%281%29%7D%7B0%7D%3D3%2Bk-11%5Cimplies%200%3D-8%2Bk%5Cimplies%208%3Dk)
This equals [f(3) - f(1)] / [3-1]
= 3^2 + 6(3) + 10 - (1^2 + 6(1) + 10) / 2
= (37 - 17) / 2
= 10 Answer
P=r x 2 x pi
= 3 x 2 x 3.14
= 6 x 3.14 = 18.84