Part A: What is the y-intercept of the function, and what does this tell you about the truck?
The intersection of a function with the y-axis occurs when we evaluate the function for x = 0.
For this case we have:
f (0) = 330 miles
Therefore, the intersection with the y-axis is 330 miles.
It means that the truck is 330 miles from its destination.
Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents.
Since the function is linear, the average exchange rate is:
m = (y2-y1) / (x2-x1)
Substituting values:
m = (275-330) / (1-0)
m = -55
It represents that the truck approaches 55 miles every hour to its destination.
Part C: What would be the domain of the function if the truck continued to travel at this rate until it reached its destination?
The linear equation that represents the problem is:
y = -55x + 330
For y = 0 we have:
0 = -55x + 330
Clearing x:
x = 330/55
x = 6
The domain of the function will be:
[0, 6]
9514 1404 393
Answer:
f⁻¹(x) = √((3 -x)/3)
Step-by-step explanation:
A function gives you a y-value for each value of x.
y = f(x)
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An inverse function tells you the x value that produced a given y-value. It is the solution to the equation ...
x = f(y)
So, we want to find y for ...
x = -3y² +3
x -3 = -3y² . . . . . . . . . . . subtract 3
(x -3)/-3 = y² . . . . . . . . . divide by -3
√((x -3)/-3) = y . . . . . . . take the square root.
The requirement for x > 0 in the original function means y > 0 for the inverse function. That is why we use the positive square root.
This can be simplified a little bit to remove the minus sign from the denominator.
f⁻¹(x) = √((3 -x)/3)
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The graph plots the function and its inverse. They are reflections of each other over the line y=x. (That's one way you can tell you have the correct inverse function.)
Answer: 1 is in the ones place and 3 is in the hundredths place
If you want in expanded form
Ones=1.00
Hundredth=3
<h2>
Please mark me as brainliest by clicking on the crown at the bottom of my answer after someone else answers.</h2>
Answer:
this is literally so easy just divide 4200 by 2 and you get 2100 hotdogs, simple mafs
Step-by-step explanation:
