Response:
15
Step-by-step explanation:
To determine the number of classes, subtract 10 from 146 which leaves you with 136. Dividing 136 by 9 results in approximately 15.1 repeating, but since classes cannot be a fraction, the answer rounds down to 15.
Solution:
We know, g(x) = f(x) + k --------(1)
It is given that f(x) =
(x+2)
and g(x) =
(x+5)
Substituting f(x) and g(x) into equation (1):
→
(x+5) =
(x+2) + k
→
= k
→ k = 
Thus, the value of k is 1.
The correct option is the first one - refer to the image for the solution:
(4 – 2i)(6 + 2i)
Use FOIL
First: 4 multiplied by 6 equals 24
Outer: 4 times 2i gives 8i
Inner: -2i times 6 results in -12i
Last: -2i times 2i equals -4i², which simplifies to 4
Combine the results
24 + 8i - 12i + 4
Final result: 28 - 4i
The answer is: 28 - 4i