Demand per hour for gasoline at a local station is normally distributed with a mean of 1510 gallons and std deviation of 57 gall
1 answer:
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Answer:
The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
Step-by-step explanation:
Exponential equations are usually in the form;
where;
a is the initial value, that is the value of y when x is 0,
b is the growth or decay factor and also the base of the exponential function
If b>1, then it is an exponential growth function and the values of y keep getting bigger.
if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.
In the function given;
The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.
From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.
Answer:
can be factored out as:
Step-by-step explanation:
Recall the formula for the perfect square of a binomial :
Now, let's try to identify the values of and
in the given trinomial.
Notice that the first term and the last term are perfect squares:
so, we can investigate what the middle term would be considering our , and
:
Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial: