Priya is comparing two functions: f (x) = 10 ·x^2 and g(x) = 30x – 10 to find out which one has greater output values as x gets very large. She notices that f (1) = 10 and f (2) = 40. However, g(1) = 20 and g (2) = 50. She
concludes that as x continues to grow, the values of f will be less than the values of g.
Explain or show why Priya's conclusion is incorrect.

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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:

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step-by-step explanation:

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