A total of
1 answer:
If we make 
an integer that represents the adults that bought tickets, and 
the number of students, then we have the equations 
, and 
.
Using the second equation, we find that
, so we plug this value of into the first equation to get 
. We simplify to find 
. We divide by 
to isolate the desired variable to get 
.
Using the second equation, we find that
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The point with the greatest distance to the origin is given by:
B. (-3, 3).
<h3>What is the distance between two points?</h3>Suppose that we have two points, and
. The distance between them is given by:
The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:
D = sqrt(x² + y²).
Hence the distances for each point given in the problem are:
- A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
- B. Distance = sqrt((-3)² + (3)²) = sqrt(18).
- C. Distance = sqrt((4)² + 0²) = sqrt(16).
- D. Distance = sqrt((2)² + 3²) = sqrt(13).
Hence option B has the greatest distance.
More can be learned about the distance between two points at brainly.com/question/18345417
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Answer:
1. y<-2 2. x≤5 3. 0<23 4. 0 ≤ -1 5. inequality: 3 + (7x) < 24 answer: x<3
Step-by-step explanation:
The equation is separable, so solving it is trivial:
Integrating both sides gives
Given and
, we find
so the answer is E.