Solve each of the following equations. (2 answers)

|2x-3|=2

x= 5/2 or 1/2

Step-by-step explanation:

absolute value always gives us positive

if |u| = 2, u can be -2 or 2

2x-3 = 2

2x = 5

x = 5/2

2x-3 = -2

2x = 1

x= 1/2

in general, set the stuff inside the absolute value to equal both positive and negative of the equivalent value

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

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.