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Step-by-step explanation:

2-----»

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3-----»

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4-----»Area of rectangle= length× breath

let's , length=3a

breath=2a

Area of rectangle= 3a × 2a

= 6a²

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5----»

9x³y & 18x²y³

9x³y= 3×3×x×x×x×y

18²y³=2×3×x×x×y×y×y

Now, HCF= 3×3x×x×y

HCF=9x²y

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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:

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.