Answer: b
Step-by-step explanation: I did this on a test before
Answer:
Step-by-step explanation:
<u>We have:</u>
- p = -1/5x + 100 = -0.2x + 100
a) <u>The revenue is:</u>
- R = px
- R = x( -0.2x + 100)
- R= -0.2x² + 100x
b) <u>x = 200, find R:</u>
- R = -0.2(200²) + 100(200) = 12000
c) <u>This is a quadratic function and the maximum value is obtained at vertex.</u>
- x = -100/(-0.2*2) = 250 is the required quantity
d) <u>The max revenue is obtained when -0.2x + 100 at max:</u>
- The maximum possible is p = 100 when x = 0
Answer:
3 (m^2 - 16)
Step-by-step explanation:
factoring means taking out a common multiple of all the terms in the expression
in this case, if you multiply 3 and m^2, 3 and -16, you would get 3m^2-48
so you take the three and put it outside of the parenthesis that contains the factored terms
this leaves you with 3 (m^2 - 16)
(-1,1)(1,4)
slope = (4 - 1) / (1 - (-1) = 3/(1 + 1) = 3/2
y = mx + b
slope(m) = 3/2
use either of ur points....(1,4)...x = 1 and y = 4
now sub and find b, the y int
4 = 3/2(1) + b
4 = 3/2 + b
4 - 3/2 = b
8/2 - 3/2 = b
5/2 = b
equation is y = 3/2x + 5/2...but we need it in standard form
y = 3/2x + 5/2
-3/2x + y = 5/2.....multiply both sides by -2
3x - 2y = -5 <==== ur standard form equation
