Which is the range of the function f(x) =1/7(9)x? all real numbers all real numbers less than 0 all real numbers greater than 0
2 answers:
Answer:
<h2>All real numbers greater than 0</h2>Step-by-step explanation:
The given function is
Notice that the function is exponential, which means its variable is an exponent.
It's important to notice that a power cannot be negative or zero, just positive.
Having said that, all possible results of this exponential expression are elements of the range set.
Therefore, the range must be all real numbers greater than zero.
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<u>ANSWER: </u>
A scooter travels 18 miles in the same time a bike covers 8 miles.The rates of both scooter and bike are 8 miles per hour and 18 miles per hour
<u>SOLUTION: </u>
Given, a scooter travels 18 miles in the same time a bike covers 8 miles.
The rate of the scooter is two miles per hour than twice the rate of the bike
We need to find both rates of scooter and bike.
Let the speed of scooter be x and speed of bike be y.
And, time taken to travel be t.
Then, for scooter:
--- (1)
For bike:
--- (2)
Now, equate both (1) and (2)
On cross-multiplication we get
18y = 8x
4x – 9y = 0 ---- (3)
We also know that, rate of the scooter is two miles per hour than twice the rate of the bike.
x = 2 + 2y ---- (4)
Now substitute (4) in (3)
4(2 + 2y) – 9y = 0
8 + 8y – 9y = 0
9y – 8y = 8
y = 8.
Again substitute y value in (4)
x = 2 + 2(8) = 2 + 16
x = 18.
Hence, the rates of both scooter and bike are 8 and 18 miles per hour