The last term is 63 so 3 might be a zero of the function;-
f(3) = 27 - 7*9 - 3*9 +63 = 27 - 63 - 27 + 63 = 0 so 3 is a zero and
therefore (x - 3) is a factor of the volume function.
Long division of the expression by x - 3 gives the quotient:-
x^2 + 4x - 21
Factoring this:-
= ( x + 7)(x - 3)
So the dimensions of the box are, x-3, x-3 and x+7 answer.
<h2><u>
Ticket prices</u></h2>
According to the calculations made, the greater the number of tickets sold, the lower the variable amount to be paid for each ticket.
Since a band has been playing weekly at local venue, and they have been making a fixed amount, plus they receive additional money for every ticket sold, and last week they sold 40 tickets and were paid $ 200, while the week before that they sold 70 tickets and were paid $ 260, to determine the relationship between the number of tickets sold and the amount the band will be paid, the following calculation must be performed:
- 200/40 = X
- 5 = X
- 260/70 = X
- 3.71 = X
Therefore, the greater the number of tickets sold, the lower the variable amount to be paid for each ticket.
Learn more about maths in brainly.com/question/8762186
Unit price: divide each coffee's total cost by the total package weight.
First Coffee= $3.24 ÷ 10.5 oz= $0.3085 per oz= $0.31 per oz rounded
Second Coffee= $9.88 <span>÷ </span>30.6 oz= $0.3228 per oz
= $0.32 per oz rounded
ANSWER: The first coffee is a better buy at only $0.31 cents per ounce. The second coffee has a higher price per ounce, so it is not a better buy.
Hope this helps! :)
A is the answer :)
Since we are given z = 8, finding y is simple.
By replacing the z in y + z = 11, we can see that y = 3
After finding these two, x can be found