Find the value of: (i) [(4-1 - 5 -1) -1 ] ÷ [ (52) 3 x 5-5]
1 answer:
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Answer:
Step-by-step explanation:
We are given the following in the question:
A(1, 1), B(2, 4), C(4, 2)
i) Slope of AB
Thus, slope of AB is 3.
ii) Point slope form
The point slope form of a line can be written as:
The point intercept form of line can be written as:
The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB
Putting values, we get,
which is the required slope intercept equation of line p.
Answer:
x = 18.5
Step-by-step explanation:
Given
+
= 10
Multiply through by 4 to clear the fractions
2x + 3 = 40 ( subtract 3 from both sides )
2x = 37 ( divide both sides by 2 )
x = = 18.5
Step-by-step explanation:
Hello there!
Use the formula for the volume of a sphere:
There is your answer!
:)
Answer:
The required function is:
The price for each feeder to maximize profit should be $13.
The maximum weekly profit is $147
Step-by-step explanation:
Consider the provided information.
Part (A)
The materials for each feeder cost $6, and the society sells an average of 30 per week at a price of $10 each.
Let x be the price per feeder.
Profit = Revenue - cost
So the profit per feeder is
If we increase then for every dollar increase, it loses 3 sales per week.
This can be written as:
Where x-10 represents the increase in price and 3 represents the decrease in sales per week.
Thus the profit will be:
Hence, the required function is:
Part (B) What price should the society charge for each feeder to maximize profits? What is the maximum weekly profit?
The above function is a downward parabola so the maximum will occur at vertex.
The x coordinate of the vertex of parabola is:
Substitute a=-3, b=78 and c=-360 in above.
Hence, the price for each feeder to maximize profit should be $13.
Now substitute the value of x in
Hence, the maximum weekly profit is $147