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.
We need to know the function that models the difference in the number of customers visiting the two stores.
We know the function that models the number of customers in the cafeteria
W (x) = 0.002x3 - 0.01x2
We also know the function that models the number of customers who visit the ice cream parlor
R (x) = x2 - 4x + 13
Therefore the difference, D (x), in the number of customers visiting the two stores is:
D (x) = W (x) - R (x)
D (x) = 0.002x ^ 3 - 0.01x ^ 2 - (x ^ 2 -4x +13)
D (x) = 0.002x ^ 3 - 0.01x ^ 2 - x ^ 2 + 4x -13
D (x) = 0.002x ^ 3 - 1.01x ^ 2 + 4x -13
<span> The answer is the third option</span>
Answer:
The first one
Step-by-step explanation:
This is a constant function, i.e. the value for y doesn't depend on x. So, every x value will lead to the same y value, in this case 4.
This implies that the graph is a horizontal line, composed by all points like (x,4), where x can be any value and 4 is fixes as the y coordinate.
Answer:
Step-by-step explanation:
For #2, remember that 
, so 
Also, (a+b)(a-b), where a and b are any numbers, (a+b)(a-b)=
. Now, to simplify, or radicalize, a number with surds in the denominator, you have to multiply the denominator by its conjugate. If there is a complex number 
, where a and b are any numbers, the conjugate is always 
. Lets apply these rules. The conjugate of 4+6i is 4-6i, so do this:
Our answer is (28-3i)/(26)!
ANSWER
EXPLANATION
The given line passes through;
(-1,-1) and it is parallel to x + y = 3.
This line given to us can be rewritten as
y=-x+1
It has slope m=-1.
The line parallel to this line also has slope m=-1.
We obtain the equation of the line using the formula:
We substitute the slope and the point to obtain:
The equation of the line is
