Let z be any number (like x would be)
if we set z equal to 2x-6y, then we get z = 2x-6y
The system
2x-6y = 8
2x-6 = 3
turns into this new system
z = 8
z = 3
but z is a single number. It can't be both 8 and 3 at the same time. So there are no solutions
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:
10+4h
Step-by-step explanation:
variation
the constant $10+the variable( 4×hpw many hours used).will give me that answer.
Answer:
-3/17
Step-by-step explanation:
(7,1) and (-10,4)
slope formula: m = (y₂ - y₁) / (x₂ - x₁)
plug in data: m = (4 - 1) / (-10 - 7)
solve: 3 / -17
simplify: -3/17 (written as a fraction)
Answer:
n= -3.5
Step-by-step explanation:
n/7 - 12 = 5n +5
+12 +12
n/7 = 5n+17
*7 *7
n = (5n+17)*7
n = 35n + 119
-35n -35n
-34n = 119
/-34 /-34
n = -3.5
