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matrenka [14]
3 years ago
5

Which of the following statements best describes the graph of x + y = 5? (4 points)

Mathematics
2 answers:
Soloha48 [4]3 years ago
8 0

Answer:

Option 2 is correct that is  It is a line joining the points whose x and y-coordinates add up to 5.

Step-by-step explanation:

We have been given the expression:

x+y=5

So, we can see that the sum of x-coordinate and y-coordinate is 5.

it is a straight line  here, x-intercept is (5,0) and y-intercept is (0,5)

You can see the graph of the line in the attachment.

Therefore, option 2 is correct that is  It is a line joining the points whose x and y-coordinates add up to 5.

lesya [120]3 years ago
5 0
It's defined by x+y=5 hence the sum of the x-coords and the y-coords is 5. Any point such that his x-coord and y-coord add up to 5 is on the line.

1 is hence False and 2 is True.

(5,5) is on none of the axus, so it can't be 3 or 4.

The answer is 2
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How many points on the graph represent a relative minimum? please help
Tasya [4]
<h3>Answer:  1</h3>

Point B is the only relative minimum here.

===========================================================

Explanation:

A relative minimum is a valley point, or lowest point, in a given neighborhood. Points to the left and right of the valley point must be larger than the relative min (or else you'd have some other lower point to negate its relative min-ness).

Point B is the only point that fits the description mentioned in the first paragraph. For a certain neighborhood, B is the lowest valley point so that's why we have a relative min here.

There's only 1 such valley point in this graph.

--------------

Side notes:

  • Points A and D are relative maximums since they are the highest point in their respective regions. They represent the highest peaks of their corresponding mountains.
  • Points A, C and E are x intercepts or roots. This is where the graph either touches the x axis or crosses the x axis.
  • The phrasing "a certain neighborhood" is admittedly vague. It depends on further context of the problem. There are multiple ways to set up a region or interval of points to consider. Though visually you can probably spot a relative min fairly quickly by just looking at the valley points.
  • If you have a possible relative min, look directly to the left and right of this point. if you can find a lower point, then the candidate point is <u>not</u> a relative min.
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