Answer:
y = -1/4x - 5/2.
Step-by-step explanation:
I am assuming you mean y = -1/4x + 5.
This has slope of -1/4 so the required equation has the same slope ( as they are parallel).
Using the point-slope form of the equation of a line:
y - (-3) = -1/4(x - 2)
y + 3 = -1/4(x - 2)
y = -1/4x + 1/2 - 3
y = -1/4x - 5/2
Answer:
15
Step-by-step explanation:
Let n(T) denotes total surveys done i.e. n(T)=140
Let n(A) be the no. of responses to positively to effectiveness i.e. n(A)=71
Let n(B) be the no. of side effects i.e.n(B) =60
Let n(C) be the no. of responses to cost i.e. n(C)= 65
33 responded positively to both effectiveness and side effects
So, n(A∩B)=33
31 to effectiveness and cost
n(A∩C)=31
28 to side effects and cost
n(B∩C)=28
21 to none of the items
So, n(A∪B∪C)=140-21 = 119
we are supposed to find ow many responded positively to all three i.e. n(A∩B∩C)
Formula:
n(A∪B∪C)=n(A)+n(B)+n(C)-n(A∩B)-n(A∩C)-n(B∩C)+ n(A∪B∪C)
119=71+60+65-33-31-28+ n(A∪B∪C)
119=104+ n(A∪B∪C)
119-104= n(A∪B∪C)
15= n(A∪B∪C)
Hence 15 responded positively to all three
Answer:
216 muffins were ordered
Step-by-step explanation:
81/x = 37.5%/100%
divide 37.5 by 100
81/x = .375
multiply x to both sides
×(x)= ×(x)
81 = .375x
divide both sides by .375
÷.375 = ÷.375
216 = x
x = 216
x = 216
Answer:
A
Step-by-step explanation:
There isnt enough information given.
Hope it helps u
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An inverse variation can be represented by the equation

We have

Answer: The relationship does not show an inverse variation.