Answer:
A
Step-by-step explanation:
Joint variation is given by:

Where k is some constant.
We are given that y = 360 when x = 4 and z = 10. Therefore:

Solving for k:

Therefore, our equation is:

Then when x = 5 and z = 12:

The answer is A.
Answer:
8-3i
Step-by-step explanation:
The complex additive inverse is the number we need to add so that we get zero. It is the negative of the number.
a + bi is –(a + bi) = –a – bi.
a+bi + (-a+-bi) = a-a + bi-bi = 0
The complex additive invers of -8+3i is
-(-8+3i)
Distribute the negative
8 -3i
Answer:
4x+4
Step-by-step explanation:
All you have to so is divide 1968 by 4.
1968 ÷ 4 = 496.5 = 1/4
Now multiply 496.5 by 3 = 1, 489.5 = 3/4
I hope this helps! :_
Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20