Answer:
The factored form of this would be (x + 4)(x + 9)
Step-by-step explanation:
In order to determine the numbers in the parenthesis, we need to find numbers that multiply to the constant (36) and add up to the middle term (13). In order to do that, we list the factors of the constant and look for those that add up to 13.
1, 36
2, 18
3, 12
4, 9
6, 6
As you can see, 4 and 9 are the only pair that satisfy the stipulations. So we place them in a parenthesis with x's and express as the following.
(x + 4)(x + 9)
Answer:
72 in
Step-by-step explanation:
Formula: A=a+b/2 h
A=a+b/2 h=8+16/2·6=72
899$ is the y intercept because that is your starting value. Then, 65 is your slope. (Rise 65, run 1). After 24 months, the total cost will be 2459$. This is because 24 • 65 = 1560. This is your total cost of phone service. Then, you need to add the phone. 1560 + 899 = 2459. So you total cost is 2459.
Answer:
A) $16
B) p(x) = 16x -800
C) 69 tickets
Step-by-step explanation:
A) The total of expenses is ...
$280 +100 +20 +400 = $800
If this is covered by 50 tickets, then a ticket must provide revenue of ...
$800/50 = $16
The cost per ticket is $16.
__
B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...
p(x) = 16x -800
__
C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...
p(x) ≥ 300
16x -800 ≥ 300 . . . . . use the expression for p(x)
16x ≥ 1100 . . . . . . . . . add 800
x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)
In order to raise at least $300, the number of tickets sold must be at least 69.
