Answer:
- x² + x + 1 and remainder 2
Step-by-step explanation:
<u>Given</u>
Without using a synthetic division, we can use easier method to find the quotient.
<u>We know the formula:</u>
- x³ - 1 = (x - 1)(x² + x + 1)
<u>Rewrite the given as:</u>
- x³ + 1 =
- x³ - 1 + 2 =
- (x - 1)(x² + x + 1) + 2
This expression, when divided by (x - 1) leave the quotient (x² + x + 1) and a remainder of 2
Answer:
y + 6 = -15/13(x-7)
Step-by-step explanation:
Substitute m= -15/13 and the point (7,-6) into the point slope form.
y --6 = -15/13 (x - 7)
y + 6 = -15/13(x-7)
The decision-maker is advised to use three dummy variables. The rule of thumb states that it is better to use lesser dummy variables than the categories being investigated. In this case, the categories are four - North, South, East, and West.
<h3>What is a Dummy Variable?</h3>
This is a statistical term that refers to a factor that is characterized with the value of one or zero in order to explain the presence of absence of an effect that is categorized.
This is used mainly in regression analysis.
See the link below for more about dummy variables:
brainly.com/question/4528945
Answer:
$1170
Step-by-step explanation:
Let the sells for economy seats be =x
Let the sells for deluxe seats be=y
The inequalities that can be obtained are;
x≥1 --------------------at least 1 economy seats
y≥6 --------------------at least 6 deluxe seats
x+y=30-----------------maximum number of passengers allowed on each boat
Graph the inequalities
Use the graph tool to locate the point of maximum profit.The intersecting point for the three graphs
The point is (24,6)
Hence, x=24 and y=6
Profit for each
Economy seats 24×$40=$960
Deluxe seats 6×$35=$210
Maximum profit for one tour
$960+$210=$1170