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3 years ago

Write the set that represents the set of people surveyed who subscribe to at least one of the two news sources given.

Mathematics

1 answer:

Soloha48 [4]3 years ago

8 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is d

Step-by-step explanation:

From the question we are told that

The set of people in a certain community who were asked if they subscribe to an information source is U

The set that subscribes to The Daily Informer is D

The set that subscribe to News Magazine is N

Here the universal set is U

Now the word at least here means that the person can subscribe to one or two of the information source , but the person cannot subscribe none of the information source

Now to get the set that represents the set of people surveyed who subscribe to at least one of the two news sources , we need to carry out a union operation on the sets representing the two news source , this can be mathematically represented as

$L = N \ u \ D$

So the sets that will contain all the people in the community that subscribe to at least one of the news source is L

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<h3>Answer: Choice D</h3>

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Explanation:

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Let's find the slope of the line through those two points.

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Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

$3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1$

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

slope of equation B is 3/4
slope of equation C is -4/3
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We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

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