Please help me with problem 1 of Systems of Linear Inequalities
1 answer:
To solve correctly, graph both inequalities. The solution is where they overlap. <em>See attachment for graph. </em>Which coordinate is plotted in the overlapping section?
If you don't have the tools to graph them, then plug each coordinate into both inequalities. The coordinate that makes a true statement for BOTH inequalities, is the answer.
(0, 4): 4 > -2 TRUE 0 + 4 < 4 FALSE
(-3, 5): 5 > -2 TRUE -3 + 5 < 4 TRUE THIS IS THE ANSWER!
(1, 4): 4 > -2 TRUE 1 + 4 < 4 FALSE
(-2, -3): -3 > -2 FALSE
Answer: (-3, 5)
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Answer:
The common ratio is
The next term in the sequence is 2
Step-by-step explanation:
In a geometric sequence, the common ratio is the constant value you multiply a term by in order to find the value of the following term. Therefore, it is mathematically calculated as the quotient between a term and the term immediately before it. And it is in fact That is:
common ratio
This quotient should be true for any two consecutive terms in the sequence.
so using the first two terms, we find:
You can test that this common ratio is true for all other terms listed:
So now, in order to find the term that follows, all we need to do is to multiply the last term given (8) by this common ratio: