Acopy machine is set to enlarge a picture that's 3 inches by 5 inches to a picture dimensions 4 times the original size. what proportion shows this enlargement? a. 3⁄5 = 6⁄10 b. 3⁄5 = 20⁄12 c. 3⁄5 = 12⁄20 d. 3⁄5 = 18⁄60

Choice C) 3/5 = 12/20

How did I get this answer? By multiplying top and bottom of the fraction 3/5 by 4

3 times 4 = 12

5 times 4 = 20

So 3/5 and 12/20 are equivalent fractions (ie, 12/20 reduces to 3/5) leading to 3/5 = 12/20. The old picture was 3 inches by 5 inches. The new picture is now 12 inches by 20 inches

Note how we can cross multiply in the equation 3/5 = 12/20 to get 3*20 = 5*12 which then turns into 60 = 60; this helps confirm that both sides are the same.

Another way to check is to use a calculator to find that 3/5 = 0.6 and 12/20 = 0.6 so that confirms 3/5 = 12/20 is a true equation.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

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step-by-step explanation:

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