Answer:
v = 15 miles / hour
Step-by-step explanation:
Given:
Distance covered by biker = s=45 miles
time taken by him = t=180 minutes
TO Find:
speed in miles per hour = v = ?
Solution:
As it is given that the distance covered is 45 miles
and time taken by him is 180 minutes
as one hour have 60 minutes
so time taken by rider = t = 180 /60
= 3 hours
this step is done because we have to find speed in miles per hour
Now
The formula for finding the distance is
distance = speed * time
or
s = v * t
we have to find v
so dividing both sides by t
it becomes
Putting the values
solving it gives
v = 15 miles / hour
which is the required speed
in the given options it is not available
Answer:
x g(x)
1 −10
2 −12
3 −14
Step-by-step explanation:
Substitute the values and do the arithmetic.
Table values for x are 1, 2, 3. We only need to find g(1) to determine which table is the correct choice.
f(1) = 1 +4 = 5 . . . . . . . . . put 1 where x is and do the arithmetic
g(1) = -2·f(1) = -2·5 = -10 . . . . . matches the 3rd choice
Answer: The graph is shifted to the right by 5 units and shifted up from the parent function.
Step-by-step explanation:
1. By definition, a parent function is the simplest form of a function.
2. You have the following parent function given in the problem:
2. The function g(x) is obtained from the function f(x)
Where the subtraction of 5 indicates the horizotanl shift to the left and the addition of 2 indicates the vertical shift up.
3. Therefore, keeping the information above on mind, you can conclude that the answer is: the graph is shifted to the right by 5 units and shifted up from the parent function.
Answer:
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