a contruction company can remove 1/4 metric tons of dirt from a construction site in 1/8 hours what is the unit rate in metric t
1 answer:
Answer:
2 metric tons in an hour.
Step-by-step explanation:
The best way to do this is to convert all the fractions to decimals. The problem starts out looking like this.
Formula
Rate = Tons removed / hours
Tons Removed = 1/4 metric ton
Time taken = 1/8 hour
Rather than doing it with fractions, it is much easier to do it with decimals
1/4 = 0.25
1/8 = 0.125
Now what you get is rate = 0.25 / 0.125 = 2
So 2 metric tons can be removed in an hour
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Answer:
f(-3) = -20
Step-by-step explanation:
We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...
34, 10, -8, ?
The first differences of these numbers are ...
10 -34 = -24
-8 -10 = -18
And the second difference is ...
-18 -(-24) = 6
For a quadratic function, second differences are constant. This means the next first-difference will be ...
? -(-8) = -18 +6
? = -12 -8 = -20
The value of the function at x=-3 is -20.
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The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)
