Taylor made 5 1⁄4 cups of iced tea. how many 10 ounce glasses can he fill to the brim with iced tea?

 
4

Explanation: 
Word problems like this are always a bit tricky to get to the bottom to. 
But to put it simply, this question is asking how many times can 10 oz be taken out of 5 1/4 cups. This is also shown as: 
5 1/4 cups ÷ 10 ounces 

First, make both numbers the same units. Since ounces are smaller, convert 5 1/4 cups into ounces. 
5 1/4 cups 
5 cups = 40 ounces 
1/4 cup = 2 ounces 
40 + 2 = 42 ounces. 
so now do this: 
42 ÷ 10 = 4.2 
So Taylor can fill 4 full glasses with iced tea.

f(x) = -8(4)^x

Step-by-step explanation:

We are given that the function f(x) is the function g(x) = 8(4)^x reflected across the x-axis.

In order to do so, we need to map the corresponding y-value of every x-value to the opposite side while maintaining the same distance from the x-axis. To do this, we can simply have a negative sign in front of the function g(x) to demonstrate this mapping of values.

For example when x=0:

g(4) = 8(4)^0 = 8 * 1 = 8

If we were to reflect this point across the x-axis, we would have to place a negative sign in front:

-g(4) =-8

In order to reflect the entire function across the x-axis, we must have a negative sign in front of every point along the domain of the function:

This creates a new function with the reflected values : f(x) = -g(x)

By then substituting g(x) = 8(4)^x we obtain f(x) = -8(4)^x.

Hence, the solution is the second option in the list of choices.