Answer:
a≤39/5
Step-by-steep explanation:
60a+64≥80a−92
Step 1: Subtract 80a from both sides.
60a+64≥80a−92
-80a -80a
−20a+64≥−92
Step 2: Subtract 64 from both sides.
−20a+64≥−92
-64 -64
−20a≥−156
Step 3: Divide both sides by -20.
−20a≥−156
a≤39/5
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:
Step-by-step explanation:
We can rewrite the square root of negative 18 as 
. We can evaluate these two quantities separately. The square root of 18 can be factored to get 3 squared times 2. We can take the 3 out to get 
. Now, the square root of negative one can be rewritten as 
, so this is equal to
Answer:
Step-by-step explanation:
