The logarithm that is expanded correctly is ㏒₉ 7/(ab)² = log₉ 7 - 2log₉ b - 2log₉ b. It follows the law of logarithm for a fraction, log (a/b) = log a - log b, for a monomial, log ab = log a + log b and for a variable with exponent, log a² = 2log a. The answer is therefore letter C. The rest of the answers are not properly expanded.
When adding/subtracting fractions you need a common denominator, but you already have one, which is x-3. So in general:
a/c-b/c=(a-b)/c so you just have:
(2x-6)/(x-3) now if you factor 2 from the numerator
2(x-3)/(x-3) the (x-3)s cancel out leaving
2
However! Note that division by zero is undefined, so x cannot equal 3. (because both original fractions had denominators of x-3)
What this all means is that that expression will equal 2 for all real values of x other than 3.
Answer:
12
Step-by-step explanation:
Writing the equation, we get
2x - 9 = x + 3
2x -x = 9+3
x = 12.
Answer:
Amount of water are equivalent = 15,000
Step-by-step explanation:
Given:
5 ppb (parts per billion)
Drop of water = 75,000
Find:
How many gallons of water are equivalent
Computation:
Amount of water are equivalent = Drop of water / Parts per billion
Amount of water are equivalent = 75,000 / 5
Amount of water are equivalent = 15,000
Answer:
$ 4,688.00
Step-by-step explanation:
I = 4000 × 0.043 × 4 = 688
I = $ 688.00
$ 688.00 + $ 4,000.00 = $ 4,688.00