How to simplify g(x) = -2(x-1)(x+5)

x=1 and x=-5

Step-by-step explanation:

To finally get the answer we will set everything equal to 0 so we will get

-2 = 0

This is an extraneous solution aka an answer that just doesn't make sense so we disregard the answer. This is really only useful to do if there is an x on the outside of the parenthesis.

x-1 = 0

add 1 on both sides

x-1

x+5=0

subtract 5 on both sides

x=-5

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