Answer: 14.5 feet
Step-by-step explanation: that’s he correct answer delta math gave me AFTER I got it wrong
Answer:
Depth of the rain gutter is 8 inches
Step-by-step explanation:
Let’s assume ‘x’ is the depth of the rain gutter
Then the width of the rain gutter can be written as 16 - 2x
Cross sectional area
A = depth x width
Substitute values
A = x*(16 - 2x)
A = 16x – 2x^2
Now according to axis of symmetry for maximum area x = -b/2a
x = -16/2*(-2)
x = 4 inches depth of rain gutter, substitute the value of x to get
Width of rain gutter 16 – 2(4) = 8 inches
Area of the rain gutter for maximum water flow
A = 4 * 8
A = 32 square inch.
Answer:
Step-by-step explanation:
in y = mx + b form, the slope is in the m position and the y int is in the b position
y = -2x + 3.....slope is -2 and y int is 3
y = -2x - 1...slope is -2 and y int is - 1
same slope, different y int's....means parallel lines...NO SOLUTION
learn this...it helps
same slope, different y int's = no solution
different slopes, different y int's = 1 solution
same slope, same y int's = infinite solutions
Answer:
A>2 = X
If you simplify this then it just means A=X but A is more then 2.
I think ...
You first need to establish the benefits function B. For each firm it is equal to the amount produced (q1 for firm 1 and q2 for firm 2) multiplied by the price P, minus cost C. It is
B1 = P.q1 - C1 = (69 - q1 - q2)q1 - C1
B2= P.q2 - C2 = (69 - q1 - q2)q2 - C2
As firma Will maximize benefits we need the derivative in q1 and q2 for firms 1 and 2 respectively. This will give us
69 - 2q1 - q2 = 0
69 - q1 - 2q2 = 0
Note that the derivative of cost is null as marginal cost is null.
Thus,
q2= 69 - 2q1
Replacing on the second equation:
69- q1 - 138 + 4q1 = 0
-69 + 3q1= 0
q1= 69/3=23
Replacing in the q2 equation:
q2=69- 46= 23
To find the money they make replace in benefits function. First we find piece P=69-23-23=23. Thus:
B1=23*23-C1
B2=23*23-C2
As we don't have a value for C1 and C2 we can't compute a number for benefits. If you have these values you will have the benefits.
