Solve the following inequality 3y + 5 < 10
1 answer:
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Answer:
independent and explanatory
Step-by-step explanation:
In a study, an independent variable may be defined as the variable that does not affect the other variables in the study when it is changed. Thus a variable is said to be independent when it is not affected by the any other variable in the study.
Whereas, an explanatory variable can be manipulated or changed by the experimenter. It is the variable that is not independent for certain variables.
Thus in the context, the scatterplot showing the total precipitation and the percent of the people who tested positive for the malaria test. The precipitation from the graph is the independent as well as the explanatory variable.
Ok so for part a we're going to use substitution, since both equations have y alone.
Step 1: Use substitution
y = x - 1 y = -x + 3
x - 1 = -x + 3
If you think about it, this makes sense. You're looking for the point where they intersect, and you know that the y coordinate for that point will be the same in both equations. Therefore, we can set the rest of the equations equal to each other. Now we just need to simplify.
Step 2: add x to each side
x - 1 + x = -x + 3 + x
The x's on the right cancel out so we get:
2x - 1 = 3
Step 4: Add 1 to each side
2x - 1 + 1 = 3 + 1
2x = 4
Step 5: Divide both sides by 2
2x/2 = 4/2
x = 2
Step 6: Plug this x value back into one of the original equations to find the y coordinate
y = x - 1
y = 2 - 1
y = 1
Therefore your answer to part a is (2,1)
I've graphed the solution and attached it. It shouldn't be too hard to replicate - just draw both lines and they should intersect at (2,1)
Hope that helps! If you need clarification or anything please feel free to ask :)
