Select the simplification that accurately explains the following statement.

Option (b) is correct.

Step-by-step explanation:

Given:

We have too choose the correct simplification for the given statement.

Consider

Using property of exponents,

We have,

Again applying property of exponents  

We have,

Simplify, we have,

we get,

Thus,

Option (b) is correct.

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