Answer:
-5+3i
Step-by-step explanation: remove parenthesis and the add like terms. -8+3=5 which turns the equation to -5+5i-2i which turns into -5+3i
A)f(4)=6(4)-9=24-9=15
B)f(1/2)=6(1/2)-9=3-9= -6
Given the expression,

We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.
![[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B%28%5Csqrt%7B14x-2%7D%29%28%5Csqrt%7B14x-2%7D%29%5D%20)
If we have
, we will get
by multiplying them. And
.
So here in the problem, we will get,
![[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%2814x-2%29%20)
Now in the numerator we have
. We can check 8x is common there. we will take out -8x from it, we will get,


And in the denominator we have
. We can check 2 is common there. If we take out 2 from it we will get,

So we can write the expression as
![[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]](https://tex.z-dn.net/?f=%20%5B%28-8x%29%287x-1%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B2%287x-1%29%5D%20)
is common to the numerator and denominator both, if we cancel it we will get,

We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,


So we have got the required answer here.
The correct option is the last one.
Answer: 200 kcal
SOLUTION
Given,
A bottle of drink has four eight-ounce (1-cup) servings per
bottle.
There are 50 kcal per cup
Amount of kcal per bottle = ?
1 bottle = 4 cups
1 cup = 50 kcal
1 bottle = 4 cups = 4 x 50 kcal
1 bottle = 4 cups = 200 kcal
Therefore, there are 200 kcal in the whole bottle
Answer:
C. 
Step-by-step explanation:
Given:

Add the two equations, we get

Therefore, the correct option is option C.