A function, f(x), represents the distance, in miles, that Sarah drives each hour, x.
1 answer:
In this situation 
will represent the time in hours. Since time cannot be negativ, we can rule out the second and the third answers. Also, Sarah in certain situations will drive for half an hour or more than one hour, like 0.5 hours or 1.3 hours. Since you can represent those numbers with integers, we can also rule out the second answer. So the only option left, is the fourth one.
We can conclude that the domain of the <span> function, f(x), that represents the distance, in miles, that Sarah drives each hour is </span><span>the set of all real numbers greater than or equal to zero.</span>
We can conclude that the domain of the <span> function, f(x), that represents the distance, in miles, that Sarah drives each hour is </span><span>the set of all real numbers greater than or equal to zero.</span>
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The general formula for exponential growth and decays is:
if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.
Now we need to classify each of the functions:
1.
The function
can be wrtten as:
comparing with the general formula we notice that k=2, therefore this is an exponential growth.
2.
The function
can be written as:
comparing with the general formula we notice that k=-4, therefore this is an exponential decay.
3.
The function
comparing with the general formula we notice that k=-1, therefore this is an exponential decay.
Answer:
A) x = 8
Step-by-step explanation:
in a 45-45-90 triangle, the legs to hypotenuse ratio is 1 :
so in this problem the leg is 8 and the hypotenuse is 8