Match each point with one of the following rational number:
2 answers:
Answer:
Option D) is the correct option.
Step-by-step explanation:
We are given the following information in the question:
A number line is shown in the figure. When observed we can make the following observations:
- A, B, C and D lies between -1 and 0.
- Point A and B lies between -1 and 0.5
- Point C and D lies between -0.5 and 0
- Hence, A and B must have a negative value lying between -1 and 0.5
- Hence, C and D must have a negative value lying between -0.5 and 0.
A) Incorrect representation.
C cannot have a value smaller than -0.5
B) Incorrect representation.
D is positive but should have a negative value.
C) Incorrect representation.
A is positive but should have a negative value value.
D) Correct representation.
Option D) is the correct option.
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Answer:
<em>4 + 7x – 2</em>
Step-by-step explanation:
<u>Equivalent Expressions</u>
Let's find out which expressions are equivalent by simplifying them. One of the expressions should be not equivalent to the other three.
Simplifying
Now for the second expression
The third expression simplifies to
Finally, this is the simplification for the expression
As seen, the only expression not equivalent to the other three is 4 + 7x – 2
Answer: Choice C
Graph with filled in circles at d = 0 and d = 2, shading in between
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Explanation:
d = amount downloaded in gigabytes
The smallest amount is d = 0. We cannot download a negative amount of data, so this is why d = 0 is the smallest.
The largest amount allowed is d = 2. This is the cap that the ISP has set up.
So basically d can be anything between d = 0 and d = 2, including both endpoints. This means
We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.