Answer:
a) 
b) 
c)
Step-by-step explanation:
a)
We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:
P(x) = R(x) - C(x)
Finding Profit Function (P(x)):
This is the profit function.
b)
The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.
Remember the power rule for differentiation shown below:
Now, we differentiate the profit function to get the marginal profit function (P'):
This is the marginal profit function , P'.
c)
We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:
and
Answer:
<u>a. 11</u>
<u>b. 9</u>
Step-by-step explanation:
<em>A:</em>
2 x 4 = 8
8 + 3 = 11
<em>B:</em>
-2 x -2 = 4
4 + 5 = 9
Hope this helps! Let me know if it was right!
Answer:
RS=5 TRUE
RS=4 FALSE (it’s 5)
ST=10 FALSE (it’s 8)
QR=4 FALSE (its 3)
Step-by-step explanation:
First, we have to determine the sides of the triangle.
4x-3=2x+1
4x-2x=1+3
2x=4
x=2
SO, RS=4x-3=4(2)-3=8-3=5
RT=2(x)+1=2(2)+1=5
QR=4²+b²=5². 16+b²=25. b²=25-16. b²=9. b=3
CLAIMS:
RS=5 TRUE
RS=4 FALSE (it’s 5)
ST=10 FALSE (it’s 8)
QR=4 FALSE (its 3)
9514 1404 393
Answer:
- parallel: y = 4x -6
- perpendicular: y = -1/4x +27/4
Step-by-step explanation:
If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...
y = mx +b . . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx . . . . . . . subtract mx from both sides.
The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.
<u>Parallel line</u>
b = 6 -4(3) = 6 -12 = -6
y = 4x -6
Perpendicular line
b = 6 -(-1/4)(3) = 6 +3/4 = 27/4
y = -1/4x +27/4
34=97+29=195 and this is your answer
