Answer:
In this problem, we are given the following functions:

and its inverse function:

First of all, we want to calculate
. This can be obtained by substituting
x = 2
into f(x). Doing so, we find:

Then we want to calculate
. We can do it by substituting
x = 1
into
. Doing so,

Then we want to calculate
, which can be found by calculating f(2) and then using it as input for
We know that
f(2) = 1
Therefore,

Then we want to calculate
, which can be calculated by plugging
x = -2
into
. Doing so,

Then we want to calculate
; by substituting
x = 4
into f(x), we find

Finally, we want to find 
We know already that

So we have:

Answer: There are approximately 8 restaurants that have hawaiian pizzas on their menus.
Step-by-step explanation:
Total number of pizzas restaurants in Gotham = 100
Percent of pizza orders in Gotham are for hawaiian pizzas = 7.5
Number of Gotham restaurants that have hawaiian pizzas on their menus is given by

So, there are approximately 8 restaurants in Gotham that have hawaiian pizzas on their menus.
Answer:
The banner is 10 2/3 ft long
Step-by-step explanation:
1 1/3 = 4/3 times the width of the banner:
4/3 * 8 feet wide = 4/3 * 8 = 32/3 = 10 2/3 feet long
The banner is 10 2/3 feet long. :)
Answer:
x > 10
Step-by-step explanation:
47-4x<7
Subtract 47 from each side
47-47-4x<7-47
-4x < -40
Divide by -4. When dividing by a negative, flip the inequality.
-4x/-4 > -40/-4
x > 10
Answer:
98 cm²
Step-by-step explanation:
The area of a circle is:

A semicircle is half a circle therefore the area of a semicircle would be:

We can plug in the given values into the equation:

We need to round to TWO sigfigs meaning...
Sigfig rules:
Nonzero numbers are significant
Trailing zeros are significant (only if there is a decimal point)
Any sandwiched zero is signification (Ex: 405 --> 3 sigfigs)