Answer:
x = -3
Step-by-step explanation:
You can try the answers to see which works. Or, you can actually solve the equation for x.
... 7 - log2(x+5) = 6
... 1 - log2(x+5) = 0 . . . . subtract 6
... 1 = log2(x+5) . . . . . . . add log2(x+5)
... 2 = x +5 . . . . . . . . . . . take the antilog
... -3 = x . . . . . . . . . . . . . subtract 5
Answer:

Step-by-step explanation:
For
, we have two cases:

Therefore, for
, we have the following cases:

Solving, we have:
.
Therefore,

Answer:
she will make $270 and each friend buys 9 CD's
Step-by-step explanation:
To find the money she makes take the CDs and multiply it times the money each one costs. To find the amount each friend buys divide the cds by th amount of friends
Answer:
b = 9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 12² = 15²
b² + 144 = 225 ( subtract 144 from both sides )
b² = 81 ( take the square root of both sides )
b =
= 9
Answer:
x= -3
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable x.