Answer:
30units,2900
Step-by-step explanation:
Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.
The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.
If x units are produced and sold we have
Costs for x units = variable costs *x +Fixed costs 
Sales revenue = no of units sold * price = 
Profit funciton = P(x) = Sales revenue - Total cost
= 
To get maximum profit we use derivative test I derivative =0 and II derivative =negative
Producing 30 units will maximize the profit.
Max profit
=P(30) = 2900
The coordinates of the vertices of ΔABC are:A( x1, y1), B( x2, y2) and C( x3, y 3 ). After it is reflected across the x-axis, coordinates are ( x1, -y1), (x2, -y2), (x3, -y3). Finally, the coordinates of the vertices of ΔA´B´C´ after translation are: A´( x1, 4-y1), B´( x2, 4- y2), C´( x3, 4-y3 )
Answer:
Quincy read 9 books.
Step-by-step explanation:
Work backwards. Samantha read three less books than Teresa (11-3=8). Ralph read half as many books as Samantha (8/2 = 4). Quincy read five more books than Ralph (4 + 5 = 9).
Answer:
50.28 inches
Step-by-step explanation:
From the Image, we can find the length of the arc of the semi-circle by dividing the circumference of the resulting circle by 2
Radius= 9in
C= 2πr
C=2*3.142*9
C=2*3.142*9
C= 56.556 inches
Hence the length of the arc is
=56.556/2
=28.278 inches
The perimeter of the shape
=28.278+5+12+5
=50.28 inches
Answer:
The slope intercept form involves solving for y, such that the equation looks like this: y = mx + b, where m is a constant representing the slope of the line, and b is a constant representing the value of the y-intercept.
Starting with the equation x+2y=6 and subtracting x from both sides gives 2y = -x + 6.
If we then divide each term by 2, we get the final result of y = -1/2x + 3.
Here we see that the slope (m) is equal to -1/2, and the y-intercept (b) is 3.
Step-by-step explanation:
