Which expression represents the volume of the pyramid? One-thirdn(n − 1) units3 One-thirdn(n − 1)2 units3 One-thirdn2(n − 1) uni
2 answers:
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Answer:
See below.
Step-by-step explanation:
4)
So we have the expression:
We can use the power of a product property, where:
So:
For the left, -6 squared is the same as -6 times -6. This equals positive 36.
For the right, we can use the power of a power property. The property says that:
So:
So, all together, we have:
6)
We have the expression:
First, note that anything to the zeroth power (except for 0) is 1, thus, x^0 is also 1. Simplify:
And that's the simplest we can do :)
Notes for 6)
We <em>can</em> put the x^4 to the numerator. Recall that when you put an exponent to opposite side, you put a negative. In other words:
And vice versa:
So, we can write the above as:
However, traditionally, we want only positive exponents, so this wouldn't be correct.
If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.
<h3>What is the linear system?</h3>A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A bike rental company charges a fee per hour.
The charge, in dollars, is the same each hour.
The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.
Then the linear equation is given as
Then the rate of change of the function expressed as a unit rate will be
More about the linear system link is given below.
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