Answer:
The answer should be 420.
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Step-by-step explanation:
We are asked to find the equivalent of the expression given:
(3m⁻² n)⁻³
-----------
6mn⁻²
Perform distribution of power using power rule such as shown below:
3⁻³ m⁻²*⁻³n⁻³
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6mn⁻²
Perform product and quotient rule such as shown below:
m⁶ n²
--------
3³ *6*m*n³
Simplify,
m⁵
--------
162n
The answer is m⁵/162n.
Answer:
they are not inverses
Step-by-step explanation:
f(1) = 1/1 +3 = 1 +3 = 4
g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1
If the functions were inverses, we would have g(f(1)) = 1, which we do not.
The given functions are not inverses.
_____
The same would be true if your functions were
f(x) = 1/(x+3) and g(x) = 4/(x+2)
f(1) = 1/(1+3) = 1/4
g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1
Answer:
There should be 10 l of 25% orange juice and 5 l of 10% orange juice.
Step-by-step explanation:
Let the amount of the 25% orange juice be "x", while the amount of the 10% one be "y". The sum of these must be equal to 15 l, therefore:
The sum of the concentration of juice on each can must be equal to the final product, therefore:
We can now solve the system of equations as shown below:
There should be 10 l of 25% orange juice and 5 l of 10% orange juice.
Answer:
$90
Step-by-step explanation:
Look at the number 7 on the bottom right of the graph. That means at the end of 7 weeks. Now look vertically up from there until you see a point directly above 7 weeks. Look to the left of that point, and you see that the point directly above 7 weeks is at the level of $90. That means that at the end of 7 weeks, he had $90.
