The slope is 4.
To find the perpendicular slope, you use the negative reciprocal of the slope you already have. Since the original slope is -1/4, you flip -1/4 to get -4. You then find the negative of -4 to get 4
We can say that exchanging one couple's ticket for an individual's ticket would increase the money in the cash box from 200 to 202 and it would result in an even number of couples tickets sold.
<u>Step-by-step explanation:</u>
Let the number of tickets sold to the individuals = s
Let the number of tickets sold to the couples = c
According to the question,
s + c = 46 ( Equation 1)
Since each individual's ticket is $6, the total amount of money made by selling tickets to individuals is 6s.
Similarly, since each ticket sold to couples is $8, the total amount of money made by selling tickets to couples is 8c.
So,
6 s + 8 c = 200 ( Equation 2)
On solving both the equations, we get
c = 38 and s = 8
Therefore, 8 tickets were sold to individuals and 38 tickets were sold to the couples.
Point (3,0) is system solution.
<h3>What is inequality?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
We have
y> -2
x + y <4
First inequation:
-5> -2 (incorrect)
Second inequality:
1-5 <4 (correct)
First inequation:
0> -2 (correct)
Second inequality:
0+3 <4 (correct)
First inequation:
-2> -2 (incorrect)
Second inequality:
-1-2 <4 (correct)
First inequation:
5> -2 (correct)
Second inequality:
1+5 <4 (incorrect)
Hence, Point (3,0) is system solution.
Learn more about inequality here:
brainly.com/question/20383699
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