What is the domain and range of f(x) = (2/3)^x

Domain = { all real values of x }

Range = { y > 0 }

Step-by-step explanation:

Any exponential function of the form:

Where a is positive

But when a is negative

So, we can see the function is the form where a is positive, hence

Domain = { all real values of x }

Range = { y > 0 }

Note: Graph of this function is shown in attached pic

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)