28/8 = 3 remainder 4 so 3 4/8(fraction) or 3 1/2
You would want to divide the minutes to the songs so you can find out how long one song is, but sense there was a remainder you could turn it into a fraction or you could keep diving. In this case you would want to stop. To find the fraction here is a formula the divisor is the denominator, the numerator is the remainder and the whole number is the number you get that is behind the remainder
Answer:

Step-by-step explanation:
So we have the function:

To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:

Switch:

Add 1 to both sides:

Divide both sides by 6:

And that's our answer :)
Answer:
your answer should be 45
Step-by-step explanation:
Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
__
b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
__
c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
Answer:
7
Step-by-step explanation:
We need to first of all find the volume of the fish tank. The most probable shape the ship tank can have is that of a cuboid.
The volume of a cuboid is l * b * h
And this is equals 30cm * 70cm * 90cm = 189,000 cubic centimeters
The number of fish the tank can contain can be obtained by dividing the volume by the volume occupied by a single fish.
This is 189,000/27000 = 7