Write an algebraic expression that models the situation.
1 answer:
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Here is a model I have made (I'm not a great artist). There are 42 circles in total, placed in 7 columns. Each column has 6 circles. This model represents 42/7 by splitting 42 into 7 parts, which are the columns, and showing that each column has 6 circles, which is the answer to 42/7.
For this case we have the following inequality:
The first thing we must do is to graph the linear function:
Then, we must evaluate ordered pairs in the following way:
(x, y)
The ordered pairs that meet the inequality, will be included as part of the graph.
Therefore, the shaded region contains all the ordered pairs that meet the inequality.
Answer:
See attached image.
The first thing we must do is to graph the linear function:
Then, we must evaluate ordered pairs in the following way:
(x, y)
The ordered pairs that meet the inequality, will be included as part of the graph.
Therefore, the shaded region contains all the ordered pairs that meet the inequality.
Answer:
See attached image.
Divide both sides by -3, and replace with
. Then
Factorize the quadratic in to get
which in turn means
But for all real
, so we can ignore the first solution. This leaves us with
If we allow for any complex solution, then we can continue with the solution we ignored: