A weather forecaster predicts that the temperature in antarctica will decrease 8°f each hour for the next 6 hours. write and sol
2 answers:
Let us suppose it will take t hours for the temperature to drop at least 36°F.
We have been given that temperature in Antarctica will decrease 8°F each hour for the next 6 hours.
And we have to find the time to drop the temperature to at least 36°F. At least means greater than equal to.
Therefore, we have the below inequality
Now, we solve the inequality.
Divide both sides by 8, we get
Hence, it will take atleast 4.5 hours to drop the temperature to 36°F.
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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.)
