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Answer:
Step-by-step explanation:
Givem the profit function
p(x) = −2000x2 + 18000x − 15000
We are to generate the price range that will generate a monthly profit of at least $25,000
Substitute into the function we have;
25000 = −2000x2 + 18000x − 15000
Divide through by 1000
25 = -2x²+18x-15
Rearrange
-2x²+18x-15-25 = 0
2x²-18x+40 = 0
Divide through by 2
x²-9x+20 = 0
Factorize
x²-5x-4x+20 = 0
x(x-5)-4(x-5) = 0
x-4 = 0 and x-5 = 0
x = 4 and x = 5
Hence the price range that will generate a monthly profit of at least $25,000 is between $4 and $5 inclusive
Answer:
v = m/d
Step-by-step explanation:
d = m/v
Multiply each side by v
d*v = m/v * v
dv = m
Now divide each side by d
dv/d = m/d
v = m/d
<span>|3x|>0
3x> 0 then x > 0
-3x > 0 then x < 0
answer
x > 0 or x < 0</span>