It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
1 answer:
Answer:
The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
In this case we can apply a rule of three to calculate the time it'll take for the 32 electricians to finish the job. This is done below:
24 electricians -> 36 days
32 electricians -> x days
We have to be careful here, since the variables are inversely proportional, since if there are more electricians working on the same job, we expect the job to be finished in fewer days, therefore we need to invert one of the fractions as shown below:
The 32 electricians are expected to finish the job in 27 days.
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9514 1404 393
Answer:
9. ±1, ±2, ±3, ±6
11. ±1, ±2, ±3, ±4, ±6, ±12
Step-by-step explanation:
The possible rational roots are (plus or minus) the divisors of the constant term, divided by the divisors of the leading coefficient.
Here, the leading coefficient is 1 in each case, so the possible rational roots are plus or minus a divisor of the constant term.
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9. The constant is -6. Divisors of 6 are 1, 2, 3, 6. The possible rational roots are ...
±{1, 2, 3, 6}
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11. The constant is 12. Divisors of 12 are 1, 2, 3, 4, 6, 12. The possible rational roots are ...
±{1, 2, 3, 4, 6, 12}
_____
A graphing calculator is useful for seeing if any of these values actually are roots of the equation. (The 4th-degree equation will have 2 complex roots.)
