Answer:
x = -1.5625
Step-by-step explanation:
Solve for x:
-8 x - 12.5 = 0
Add 12.5` to both sides:
(12.5 - 12.5) - 8 x = 12.5
12.5 - 12.5 = 0:
-8 x = 12.5
Divide both sides of -8 x = 12.5 by -8:
(-8 x)/(-8) = 12.5/(-8)
(-8)/(-8) = 1:
x = 12.5/(-8)
12.5/(-8) = -1.5625:
Answer: x = -1.5625
Since two people take both courses, we can subtract two from 7, 8, and 21, giving us 5, 6, and 19.
Add 5 and 6 together to get 11. Since eleven students are in those two groups, we can answer this. The answer will be 11/19.
Vertical angles is an X but that's how you tell if they're vertical angles
Use the change-of-basis identity,

to write

Use the product-to-sum identity,

to write

Redistribute the factors on the left side as

and simplify to

Now expand the right side:

Simplify and rewrite using the logarithm properties mentioned earlier.





(C)