The lcm of two different numbers is 18, and the gcf is six. what are the numbers?
1 answer:
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The zero product property tells us that if the product of two or more factors is zero, then each one of these factors CAN be zero.
For more context let's look at the first equation in the problem that we can apply this to:
Through zero property we know that the factor
can be equal to zero as well as 
. This is because, even if only one of them is zero, the product will immediately be zero.
The zero product property is best applied to factorable quadratic equations in this case.
Another factorable equation would be
since we can factor out 
and end up with 
. Now we'll end up with two factors, and 
, which we can apply the zero product property to.
The rest of the options are not factorable thus the zero product property won't apply to them.
For more context let's look at the first equation in the problem that we can apply this to:
Through zero property we know that the factor
The zero product property is best applied to factorable quadratic equations in this case.
Another factorable equation would be
The rest of the options are not factorable thus the zero product property won't apply to them.
Answer:
The maximum height of the prism is
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to
so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C
------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->
see the attached figure
but remember that
The width of the base must be meters less than the height of the prism
so
the solution for x is the interval ------>
The maximum height of the prism is
Answer:
The answer is below
Step-by-step explanation:
From the graph, we can see that both segment 1 and segment 2 are positive slopes (as the time increases, the number of people increases)
Segment 1 is more steep than segment 2 (the number of people increases in segment 1 more than segment 2). This means that the number of people entering the arena in segment 1 was higher than the rate of people entering the arena in segment 2.
