Huey works 175 hours each month and earns $14.25 per hour after taxes. His monthly budget is shown. How much money is left over
in his budget for unplanned expenses?
1 answer:
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Answer:
a)
b) when
Step-by-step explanation:
since y varies inversely with x.
We need to find the constant, k.
Let's use a point (x,y) on the curve.
We are given an (x,y)=(5,10):
Multiply both sides by 5:
.
So the equation is:
What is y when x=2?
Answer:
is an odd function.
Step-by-step explanation:
We are asked to prove whether is even or odd.
We know that a function is even if
and a function
is odd, when
.
We also know that an even function is symmetric with respect to y-axis and an odd function is symmetric about the origin.
Upon looking at our attachment, we can see that is symmetric with respect to origin, therefore,
is an odd function.
Answer:
Step-by-step explanation:
Hello, please consider the following.
So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so is divisible by 3
and we check what happens for k+1
is divisible by 3 and
is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that is divisible by 3 for all positive integers n.
Thanks