Which graph represents the equation y= −4/3x − 2
1 answer:
Answer:
C -- see attachment
Step-by-step explanation:
The graph you're looking for has a y-intercept of -2 (as they all do) and a negative slope that is steeper than -1. It will have a "rise" of -4 for each "run" of 3, so point (-3, 2) will also be on the graph.
The graph shown in the attachment is the one you're looking for.
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Two of the offered graphs have negative slope. One (B) has a slope of -3/4, so is not the correct graph. The other (C) has a slope of -4/3. It is attached.
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Step-by-step explanation:
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Q) Without a calculator, we must estimate the value of the following expression:
A) I estimate 3 - √38 to be approximately -3.2.
First, we estimate the value of √38. √38 is between √36 and √49, but close to √36 (since 38 is closer to 4 than it is to 9). Since √36 is 6, √38 is probably something like 6.1 or 6.2. Filling 6.2 in the expression and simplifying, we have this:
So, I expect the number 3 - √38 to be close to -3.2.
Using a calculator we find that: 3 - √38 ≅ -3.16, which it is approximately the result that we found.
Answer
Without a calculator we find that 3 - √38 ≅ -3.2.