the universal set in this diagram is the set of integers from 1 to 15. Place the integers in the correct place in the venn diagr
am.
2 answers:
Answer:
Venn diagram is attached below.
Step-by-step explanation:
Given numbers are 5, 9, 12, 13, 14, 15.
We have three circles:- A. Factors of 15, B. Odd Integers, C. Multiples of 3.
Let's classify the elements in their respective circles.
A. Factors of 15: {5, 15}
B. Odd Integers: {5, 9, 13, 15}
C. Multiples of 3: {9, 12, 15}
So we have the followings:-
A∩B = {5, 15}
B∩C = {9, 15}
A∩C = {15}
where A∩B∩C = {15}, and (A ∪ B U C)' = {14}
Also 13 belongs to only B, and 12 belongs to only C.
Venn diagram is attached below.
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Answer:
Per minute value fee would be the slope of the line.
Step-by-step explanation:
Given:
Per minute charges by the phone company = $ 0.50
Connection fee (fixed) charged by company = $ 1.0
We have to represent the total cost in terms of y and also explain the slope of the line.
According to the question:
Let the number of minutes be "x" .
And the total cost charged be "y" .
So,
The total cost = (No. of minutes)(Per minute charge) + Connection fee
Re-arranging in term of x and y.
⇒
⇒ ...equation (i)
Slope- intercept form: m is the slope and b is the y-is intercept.
⇒ Comparing equation (i) with the slope- intercept form.
⇒ and
So,
The slope of the line is 0.50 which is also represented by the per minute value of the call.
Per minute value fee would be the slope of the line.
Refer to the figure shown below.
The coordinates of point m are (2,5).
Let (x,y) = the coordinates of pont n.
Because mn = 4, use the Pythagorean theorem to obtain
(x - 2)² + (y - 5)² = 4²
This represents a circle with center at (2,5) and radus = 4.
Answer:
Possible coordinates for n lie on the circle (x-2)² + (y-5)² = 16.
The coordinates of point m are (2,5).
Let (x,y) = the coordinates of pont n.
Because mn = 4, use the Pythagorean theorem to obtain
(x - 2)² + (y - 5)² = 4²
This represents a circle with center at (2,5) and radus = 4.
Answer:
Possible coordinates for n lie on the circle (x-2)² + (y-5)² = 16.