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Dvinal [7]
3 years ago
8

Let the following sets be given. The universal set for this problem is the set of all students at some university. F = the set o

f all freshmen S = the set of all seniors M = the set of all math majors C = the set of all CS majors Using only the symbols F, S, M, C, ||, ∩, ∪, ', and >, translate the following statement into the language of set theory. There are more freshmen who aren't math majors than there are senior CS majors.

Mathematics
1 answer:
stepan [7]3 years ago
5 0

Answer:

|M'∩F| > |S∩C|

Step-by-step explanation:

<h3 /><h3>The situation is depicted in the picture attached </h3>

The green set is  

M'∩F = freshmen who aren't math majors and it has |M'∩F| elements

The blue set is

S∩C = senior CS majors and it has |S∩C| elements.

So <em>“There are more freshmen who aren't math majors than there are senior CS majors”</em> can be written as

|M'∩F| > |S∩C|

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

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Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

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15x((x^2-3x)+(2x-6))=0

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Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

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\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

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7 0
3 years ago
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