Lisa is using the equation x2 + (x – 5)2 = 157 to find two numbers that differ by 5 and that have squares that sum to 157. when lisa solves the problem using the zero product property, what do the two solutions represent?

a)two numbers that differ by 5 and squares that have a sum of 157
b)one possible number is 5 less than the other number
c)one possible number that can be used to find numbers that differ by 5 and squares that have a sum of 157
d)two possible numbers that can be used to find numbers that differ by 5 and squares that have a sum of 157

step-by-step explanation:

compare

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: