Answer:
You showed the right work and got the right answer!
x = 6
Step-by-step explanation:
Since B is in the middle of A and C, AB + BC = AC
So,
2x - 11 + 8 = x + 3
x - 3 = 3
x = 6
Multiply the weight in tonnes by the conversion factor ( 1 tonne = 1000 kg) to get the weight in kg's:
170 tonnes x 1000 = 170,000
Now convert to scientific notation, by moving the decimal point to have only 1 digit to the left of the decimal.
To do this, you would need to move the decimal 5 places to the left to get 1.70000
Now remove the 0's and multiply the number by 10 raised to the number of paces the decimal was moved to get:
1.7 x 10^5 kg's.
Answer:
x^2 + 25
Step-by-step explanation:
60 miles would be the total miles in the trip
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
