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A car travels at a rate of (4x2 - 2). What is the distance this car will travel in (3x - 8) hours?
Use the formula distance = rate × time. Through substitution, distance = (4x2 - 2) × (3x - 8). Use FOIL (First terms of each binomial multiplied, Outer terms inside each multiplied, Inner terms of each multiplied, and Last term of every binomial multiplied) to multiply the binomials: (4x2 • 3x) - (8 • 4x2) - (2 • 3x) - (2 • -8). Simplify each term: 12x3 - 32x2 - 6x + 16.
1+2+3+.....+n=1/2n(n+1)
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Q. Converting Mixed Numbers to Improper Fractions? Ans. Converting a mixed number to an improper fraction is easy. A single multiplication, and then a single addition:
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