Answer:
28 - 4x
Step-by-step explanation:
![18 -2 [x + (x - 5)] \\ = 18 - 2 [x + x - 5] \\ = 18 - 2 [2x - 5] \\ = 18 -4x + 10 \\ = 28 - 4x \\](https://tex.z-dn.net/?f=18%20-2%20%5Bx%20%2B%20%28x%20-%205%29%5D%20%20%5C%5C%20%20%3D%2018%20-%202%20%5Bx%20%2B%20x%20-%205%5D%20%20%5C%5C%20%20%3D%2018%20-%202%20%5B2x%20-%205%5D%20%5C%5C%20%20%3D%2018%20-4x%20%20%2B%2010%20%5C%5C%20%20%3D%2028%20-%204x%20%5C%5C%20)
Answer:
it must also have the root : - 6i
Step-by-step explanation:
If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.
This is because in order to render a polynomial with Real coefficients, the binomial factor (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:
where the imaginary unit has disappeared, making the expression real.
So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)
Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.
Answer:
3
Step-by-step explanation:
Put the given numbers in the formula and do the arithmetic.
f(2) = -2·f(1) = -2·(-1.5) = 3
The next term of the sequence is 3.
In order to simplify this expression, we need to multiply the numeric values together and the variables together.
So we have:

Therefore the correct option is the third one.