Hello!
1.
You have to add all the numbers up in the venn diagram to get how many people participated
18 + 11 + 24 + 8 + 7 + 1 + 17 = 86
The answer is 86 people
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2.
To find how many people like country you add all the numbers in the country circle
8 + 7 + 1 + 17 = 33
The answer is 33 people
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3.
To find how many people likes only country music you look at the number that is only in the country circle
The answer is 17 people
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4.
To find how many people like rap and country you add the numbers that are in both of the circles
1 + 7 = 8
The answer is 8 people
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5.
To find the amount of people that liked rap and country but not rock you look at the number in only the rap and country circle
The answer is 1 person
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6.
To find how many people liked rock or rap you add all the numbers in those circles
18 + 7 + 11 + 24 = 60
The answer is 60 people
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Hope this helps!
Answer:

or

Step-by-step explanation:
we have
f(3+√2 )=f(3− √2 )=0
so
x1=3+√2 and x2=3−√2 are the roots or x-intercepts of the quadratic equation
The quadratic equation in factored form is equal to

substitute

Find the value of the coefficient a
Remember that
f(1)=−8
so
For x=-1 -----> f(x)=-8
substitute

solve for a

apply difference of squares


therefore


simplify
Applying distributive property


Answer:
5/243
Step-by-step explanation:
4/18 × 6/18 × 5/18 = 5/243
I think
For the lateral area, don't include the base area. For the surface area, you should include it.
Answer:
y = -3
Step-by-step explanation:
A horizontal line has all the same y values, but changing x values
y must equal -3 all the time if it goes through (3,-3)
y = -3