Answer:
Step-by-step explanation:
Given the Total revenue R(x) = 2x
Cost C(x) = 0.01x²+0.3x+30 where;
x = 30 and dx/dt = 9units per day.
Rate of change of revenue dR/dt = dR/dx • dx/dt
dR/dt = 2dx/dt
dR/dt = 2(9) = $18
Rate of change of revenue with respect to time is 18dollars/day.
Rate of change of cost dC/dt = dC/dx • dx/dt
dC/dt = (0.02x+0.3)dx/dt
dC/dt at x = 30 and dx/dt = 9 will give;
dC/dt = {0.02(30)+0.3}×9
dC/dt = (0.6+0.3) × 9
dC/dt = 0.9×9
dC/dt = $8.1
Rate of change of cost with respect to time is 8.1dollars/day
Profit = Revenue - Cost
Profit = 18-8.1
Daily Profit = $9.9
Answer:
<h2><u><em>
False</em></u></h2>
Step-by-step explanation:
Is this true or false:
w(5)=w(-5)
we give the value 1 to w to keep it simple
1 ( 5 ) = 1 (-5 )
5 = -5
<em>It's false</em>
Answer:
See below
Step-by-step explanation:
<h3>Part (a)</h3>
f(x - 1) is the translation of f(x) one unit right.
So the graph is exactly same shape but shifted right one unit.
<h3>Part (b)</h3>
f(x) has vertex (-1, 2)
<u>The function y = f(-x) + 2 will have the vertex changed as per rule:</u>
<u>So the new vertex is:</u>
- (-1, 2) → (-(-1), 2 + 2) = (1, 4)
Answer:
x=
Step-by-step explanation:
2nd step: 
third step: 
fourth step: 
answer: x=
No, she cannot use a ratio of 21 to 6. You can figure this out in a few different ways. First you can simplify down the fraction 18/3, to get 6/1. 6/1 does not equal 21/6, because 21/6 equals 7/2. However, 6/1 it does equal 36/6. You could also noticed that three doubles to make six, yet 18 does not double to make 21
