Answer:

Step-by-step explanation:
Slope is negative reciprocal when two lines are perpendicular
m1=1/2 therefore m2=-2
The equation of the line in point-slope form is given as

Here m=-2 and (x1, y1)=(-3, -1)
Therefore,

Answer:
4:10.
Step-by-step explanation:
4:10 would be one.
Answer:
$68
Step-by-step explanation:
We have been given the demand equation for Turbos as
, where q is the number of buggies the company can sell in a month if the price is $p per buggy.
Let us find revenue function by multiplying price of p units by demand function as:
Revenue function: 

Since revenue function is a downward opening parabola, so its maximum point will be vertex.
Let us find x-coordinate of vertex using formula
.



The maximum revenue would be the y-coordinate of vertex.
Let us substitute
in revenue formula.




Therefore, the company should sell each buggy for $68 to get the maximum revenue of $18,496.
Answer:

Step-by-step explanation:
Given
Two rolls of die
one of the outcomes is 6
atleast one is 6
Required
P(E|A)
First, list out the outcome of each


So:

Where:



So:
