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scZoUnD [109]
3 years ago
12

Write the equation of the line fully simplified slope-intercept form.

Mathematics
1 answer:
ziro4ka [17]3 years ago
6 0

Answer:

y= -1/3x-7

Step-by-step explanation:

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IN A CLASS OF 60 STUDENTS, 25 PLAYS BASKETBALL, 2O PLAY VOLLEYBALL, AND 10 STUDENTS PLAY BOTH OF THEM. HOW MANY STUDENTS PLAY NE
I am Lyosha [343]

Answer:

25

Step-by-step explanation:

We'll compare it with the study of sets, the most noticeable operation of which is:

  • <u>n(A ∪ B) = n(A) + n(B) - n(A ∩ B)</u>

where,

n(A ∪ B) is the Union Set, i. e, the set that contains all the elements

n(A) is a subset of the Union Set

n(B) is another subset of the Union Set, and

n(A ∩ B) is the Intersection Set ,i.e, the set contains common elements from both A and B sets.

<h3><u>In the question:</u></h3>
  • n(A ∪ B) = ? (<em>the total number of students in the class who are into the above mentioned sports)</em>

Let set A contains the students who play basketball and set B, the students who play Volleyball.

  • n(A) = 25
  • n(B) = 20

10 students play both of them, i. e.,

  • n(A ∩ B) = 10 (<em>as 10 students have common sports - Volleyball and Basketball</em>)

<u>Using the above operation:</u>

=> n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

=> n(A ∪ B) = 25 + 20 - 10

=> n(A ∪ B) = 35

<h3><u>Final Step to the Answer:</u></h3>

<u>The total number of students in the class </u>

= students into the given sports + students who don't play any of them

  • Total number of students in the class is 60
  • Total number fo students playing basketball and volleyball is 35

The students who play neither = 60 - 35

= 25

5 0
2 years ago
What are the zeroes of the polynomial function f(x)=x^3+2x^2-x-2
MatroZZZ [7]

f(x)=x^3+2x^2-x-2\\\\f(x)=0\iff x^3+2x^2-x-2=0\\\\x^2(x+2)-1(x+2)=0\\\\(x+2)(x^2-1)=0\iff x+2=0\ \vee\ x^2-1=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\\\\boxed{x=-2}\\\\x^2-1=0\qquad\text{add 1 to both sides}\\\\x^2=1\to x=\pm\sqrt1\\\\\boxed{x=-1\ \vee\ x=1}\\\\Answer:\ -2,\ -1,\ 1

5 0
3 years ago
Read 2 more answers
The graph of F(x) = x2 is shown below. If you horizontally shift
kirill115 [55]

Answer: (x+3)^2

Step-by-step explanation :

When you translate something left or right, it goes inside the parenthesis.

You subtract the number where it is from the x

(X - (-3)^2

(X+3)^2

7 0
3 years ago
A salesman sells a car for
ruslelena [56]

Answer:

3145

Step-by-step explanation:

7 0
3 years ago
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Ruben bought 6 new books for his collection. This increase his collection by 12%. How many books did he have before his purchase
tino4ka555 [31]
I think if im doing this right he had 50 books.
7 0
3 years ago
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