Let's call the store value as s and the wholesale price as w. A store prices tapes by raising the wholesale price 50%(0.5 in decimals) and adding 25 cents, writing this as an equation, we have
If we invert the equation we're going to find the the wholesale price as a function of the store price.
Now, to find the wholesale price if the sales price is $1.99, we just need to evaluate s = 1.99 on the function we created.
The wholesale price is $1.16.
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
Answer:
2.5mph
Step-by-step explanation:
S = Distance divided by Time (S = D/T)
Therefore.
S = 15/6
=2.5 mph
Colin walked an average speed of 2.5mph
This would be any equation whose slope isn’t -1 or 1.
If the slope was -1, the lines would be parallel because the have the same slope.
If the slope was 1, the lines would be perpendicular because 1 is the negative reciprocal of -1.
Any line with any other slope will intersect with y=-x.
Hope this helps!
Answer:U.S Declaration of Independence
Step-by-step explanation:
