Answer:
A) x = (-8log(6)-2log(17))/(-2log(17)+log(6))
Step-by-step explanation:
Taking the logarithm of the equation, you have ...
(x+8)log(6) = (2x-2)log(17)
Subtracting the right side from the equation gives ...
x(log(6) -2log(17)) +8log(6)+2log(17) = 0
Subtracting the constant and dividing by the coefficient of x gives ...
x = -(8log(6) +2log(17))/(log(6) -2log(17)) . . . . . matches selection A
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You don't need to work out the whole solution to determine the correct answer choice. Once you take the initial log, you find that the x-coefficient includes a multiplier of 2log(17). This term only appears in the denominator of choice A. (The value of x will be found after dividing by the x-coefficient, so you know this must show up in the denominator of the answer.)
Answer:
It is an octagon if and only if it has eight sides.
Step-by-step explanation:
Step 1: set equations equal to eachother
2x+2=x-1
which equals to x=-3
so the answer is one.
Alright so lets start with an arbitrary amount of students. Just to help us visualize the problem.
Say, 100 students for the first year when it was founded?
So far,
1996 - 100 students
From 96' to 97', it doubles. So:
1996 - 100 students
1997 - 200 students
From 97' to 98', it doubles AGAIN.
1996 - 100 students
1997 - 200 students
1998 - 400 students
So, what the percentage increase from 100, to 400?
Well, 100 x 4 gives us 400, so it's a 400 percent increase.
Answer:
2. The amount of soup in a can
3. The amount of chips in a bag of chips
5. The amount of chocolate that makes up a chocolate bar.
Step-by-step explanation:
Volume is the amount that a substance or object occupies, or that is enclosed within a container, so 1 and 4 wouldn't make sense since 1 is a shadow that doesn't take up anything three dimensional, and same goes with 4.
