Hey Guys...I need help again... Which graph represents a proportional relationship?

Mathematics

2 answers:

sukhopar [10]3 years ago

8 0

Answer:

Step-by-step explanation:

For a graph to be representative of a proportional relationship, it must meet the following criteria:

1) It is a straight line.

2) It passes through the origin point (0,0).

3) It is neither horizontal nor vertical*.

We can see that D is not a line. So, D is not a proportional relationship.

We can also see that B and C are vertical and horizontal, respectively. They also do not cross the origin.

The only choice that is a straight line and also crosses through the origin point is A.

So, our answer is A.

And we're done!

*Note: Vertical lines are not proportional because they are not a function.

Horizontal lines are not proportional because they has a constant of proportionality of 0, which can't be the case.

Aloiza [94]3 years ago

3 0

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

It's the first one because a graph that represents a proportional relationship must be a straight line that pass through the origin and pass the vertical line test.

<u>Tip:</u> The vertical line test is when you take a vertical line and move it through the line if the line touches in to places it doesn't pass the vertical line test.

So if you look at the second one. It is a straight line so that's good, but it doesn't pass the vertical line test and it also doesn't pass through the origin. So that's out

Next we should check the third one. It's a straight line that passes the vertical line test, but it doesn't pass through the origin.

Finally we will check the last one. It does pass through the origin and it passes the vertical line test, but it isn't straight.

So therefore the first one is the only one that has all those rules that a proportional line must have.

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How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit

Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have ${13 \choose 2} = 78$ possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.