Answer:
Ix - 950°C I ≤ 250°C
Step-by-step explanation:
We are told that the temperature may vary from 700 degrees Celsius to 1200 degrees Celsius.
And that this temperature is x.
This means that the minimum value of x is 700°C while maximum of x is 1200 °C
Let's find the average of the two temperature limits given:
x_avg = (700 + 1200)/2 =
x_avg = 1900/2
x_avg = 950 °C
Now let's find the distance between the average and either maximum or minimum.
d_avg = (1200 - 700)/2
d_avg = 500/2
d_avg = 250°C.
Now absolute value equation will be in the form of;
Ix - x_avgI ≤ d_avg
Thus;
Ix - 950°C I ≤ 250°C
Answer:
Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
The domain are the x-values included in the function (the horizontal axis).
The range are the y-values included in the function (the vertical axis).
The two arrows on the ends of the line (pointing upwards and downwards respectively) indicate that the function goes in those direction for infinity. Therefore, if there are an infinite amount of y-values, the range is (-∞, ∞).
While the slope is quite steep, there is still a slope and slowly "expands" the line on the horizontal axis. Because there is no limit to the y-values, the domain will also expand infinitely. Therefore, the domain is also (-∞, ∞).
Answer:
A, the graph is shown
Step-by-step explanation:
Answer:
135 days
Step-by-step explanation:
Often, we measure work in man·days. This piece of work requires ...
(45 man)·(90 days) = 4050 man·days
When there are only 30 men, the number of days required can be found by dividing this work by the number of men:
4050 man·days/(30 man) = 135 days
_____
Another approach is to realize the time is inversely proportional to the number of men. If the number of men is 30/45 = 2/3 the original, then the time will be 3/2 the original, or ...
(3/2)·90 days = 135 days.
we are given the expression (4e) ^x and is asked to derive the expression. we distribute first the equations resulting to 4^x e^x = y. using the rule of products,
y = 4^x e^xy' = 4^x ln 4 e^x + 4^x e^x
The final answer is y' = 4^x ln 4 e^x + 4^x e^x
