<span>2x^2 + 6x - 36 = 0
D=sqr(36+4*36*2)=18
x1=(-6+18)/(2*2) = 3
x2=(-6-18)/(2*2)= -6</span>
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.
Answer:
<u>170 rooms left to clean</u>.
Step-by-step explanation:
If you are implying that there are 126 rooms for each floor of the 4 floors total.
Given the scenario that there are 126 rooms for each floor with 4 floors total with 334 of the rooms cleaned. The rooms left to clean are calculated by finding the difference between the total amount of rooms, and the rooms cleaned.
This relationship can be given by:
#total rooms - #cleaned rooms = #rooms left to clean.
The total rooms are found by multiplying the number of floors by the number of rooms on each floor: 126 × 4 = 504 rooms total.
Now we have all the variables needed, and can solve for the missing one:
(126×4) - (334) = #rooms left to clean
504 - 334 = 170 = #rooms left to clean
Answer:
Additive inverse is (7y² - x²y + 3xy + 7x²).
Step-by-step explanation:
Let the additive inverse of the given polynomial be Y.
Therefore as per definition of additive inverse of any polynomial the addition of a polynomial and additive inverse of any polynomial is always zero.
So Polynomial + additive inverse polynomial = 0
(-7y² + x²y - 3xy - 7x²) + Y = 0
Y = -(-7y² + x²y - 3xy - 7x²) = (7y² - x²y + 3xy + 7x²)
So the additive inverse of the polynomial will be (7y² - x²y + 3xy + 7x²).
B. $9.01
Is the correct answer because the 6% of 8.50 is 0.51 and 8.50 plus 0.51 equals 9.01