Explanation Given: The inequality is 3 y 2 ≤ 16 y + 12 . Approach: Apply various mathematical operations to solve the inequality. Addition of same number to both sides of the inequality does not change the direction of the inequality. Multiplication with negative number on the both side of the inequality changes the sign of the inequality. Multiplication with positive number on the both side of the inequality does not change the sign of the inequality. Calculation: Consider the given inequality, 3 y 2 ≤ 16 y + 12 Subtract 16 y on both sides of the above equation. 3 y 2 − 16 y ≤ 16 y − 16 y + 12 3 y 2 − 16 y ≤ 12 Subtract 12 on both sides of the above equation. 3 y 2 − 16 y − 12 ≤ 12 − 12 3 y 2 − 16 y − 12 ≤ 0... ( 1 ) Corresponding equation of the above inequalities are written as follows. 3 y 2 − 16 y − 12 = 0 ( 3 y + 2 ) ( y − 6 ) = 0 y = − 2 3 , 6 The intervals are ( − ∞ , − 2 3 ] , [ − 2 3 , 6 ] , and [ 6 , ∞ )

Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)

2nd Edition

ISBN: 9780137553457

Author: Raymond Greenwell, Nathan Ritchey

Publisher: PEARSON+

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Chapter R.5, Problem 2YT

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The given inequality 3y2≤16y+12.

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Chapter R Solutions

Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)

Ch. R.1 - YOUR TURN 1 Perform the operation...Ch. R.1 - YOUR TURN 2 Perform the operation (3y+2)(4y22y5).Ch. R.1 - Prob. 1E Ch. R.1 - Prob. 2E Ch. R.1 - Prob. 3E Ch. R.1 - Prob. 4E Ch. R.1 - Prob. 5E Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations. 9m(2m2+3m1)Ch. R.1 - Prob. 8E

Ch. R.1 - Prob. 9E Ch. R.1 - Prob. 10E Ch. R.1 - Perform the indicated operations. (23x)(2+3x)Ch. R.1 - Prob. 12E Ch. R.1 - Prob. 13E Ch. R.1 - Perform the indicated operations....Ch. R.1 - Prob. 15E Ch. R.1 - Prob. 16E Ch. R.1 - Prob. 17E Ch. R.1 - Prob. 18E Ch. R.1 - Prob. 19E Ch. R.1 - Perform the indicated operations. (r+2s3t)(2r2s+t)Ch. R.1 - Prob. 21E Ch. R.1 - Prob. 22E Ch. R.1 - Prob. 23E Ch. R.1 - Prob. 24E Ch. R.1 - Prob. 25E Ch. R.1 - Prob. 26E Ch. R.2 - YOUR TURN 1 Factor 4z4+4z3+18z2.Ch. R.2 - Prob. 2YT Ch. R.2 - Prob. 1E Ch. R.2 - Prob. 2E Ch. R.2 - Prob. 3E Ch. R.2 - Prob. 4E Ch. R.2 - Prob. 5E Ch. R.2 - Prob. 6E Ch. R.2 - Prob. 7E Ch. R.2 - Prob. 8E Ch. R.2 - Prob. 9E Ch. R.2 - Prob. 10E Ch. R.2 - Prob. 11E Ch. R.2 - Factor each polynomial. If a polynomial cannot be...Ch. R.2 - Prob. 13E Ch. R.2 - Prob. 14E Ch. R.2 - Prob. 15E Ch. R.2 - Prob. 16E Ch. R.2 - Prob. 17E Ch. R.2 - Prob. 18E Ch. R.2 - Prob. 19E Ch. R.2 - Prob. 20E Ch. R.2 - Prob. 21E Ch. R.2 - Prob. 22E Ch. R.2 - Prob. 23E Ch. R.2 - Prob. 24E Ch. R.2 - Prob. 25E Ch. R.2 - Prob. 26E Ch. R.2 - Prob. 27E Ch. R.2 - Prob. 28E Ch. R.2 - Prob. 29E Ch. R.2 - Factor each polynomial. If a polynomial cannot be...Ch. R.2 - Prob. 31E Ch. R.2 - Prob. 32E Ch. R.3 - YOUR TURN 1 Write in lowest terms. z2+5z+62z2+7z+3 Ch. R.3 - Prob. 2YT Ch. R.3 - Prob. 1E Ch. R.3 - Write each rational expression in lowest terms....Ch. R.3 - Prob. 3E Ch. R.3 - Prob. 4E Ch. R.3 - Prob. 5E Ch. R.3 - Prob. 6E Ch. R.3 - Prob. 7E Ch. R.3 - Prob. 8E Ch. R.3 - Write each rational expression in lowest terms....Ch. R.3 - Prob. 10E Ch. R.3 - Prob. 11E Ch. R.3 - Prob. 12E Ch. R.3 - Prob. 13E Ch. R.3 - Prob. 14E Ch. R.3 - Prob. 15E Ch. R.3 - Prob. 16E Ch. R.3 - Prob. 17E Ch. R.3 - Prob. 18E Ch. R.3 - Prob. 19E Ch. R.3 - Prob. 20E Ch. R.3 - Prob. 21E Ch. R.3 - Prob. 22E Ch. R.3 - Prob. 23E Ch. R.3 - Prob. 24E Ch. R.3 - Prob. 25E Ch. R.3 - Prob. 26E Ch. R.3 - Prob. 27E Ch. R.3 - Prob. 28E Ch. R.3 - Prob. 29E Ch. R.3 - Prob. 30E Ch. R.3 - Prob. 31E Ch. R.3 - Prob. 32E Ch. R.3 - Prob. 33E Ch. R.3 - Prob. 34E Ch. R.3 - Prob. 35E Ch. R.3 - Prob. 36E Ch. R.3 - Prob. 37E Ch. R.3 - Prob. 38E Ch. R.4 - YOUR TURN 1 Solve 3x7=4(5x+2)7x.Ch. R.4 - Prob. 2YT Ch. R.4 - Prob. 3YT Ch. R.4 - Prob. 4YT Ch. R.4 - Prob. 1E Ch. R.4 - Prob. 2E Ch. R.4 - Prob. 3E Ch. R.4 - Prob. 4E Ch. R.4 - Prob. 5E Ch. R.4 - Prob. 6E Ch. R.4 - Prob. 7E Ch. R.4 - Solve each equation 4[2p(3p)+5]=7p2 Ch. R.4 - Prob. 9E Ch. R.4 - Prob. 10E Ch. R.4 - Prob. 11E Ch. R.4 - Prob. 12E Ch. R.4 - Prob. 13E Ch. R.4 - Prob. 14E Ch. R.4 - Prob. 15E Ch. R.4 - Prob. 16E Ch. R.4 - Prob. 17E Ch. R.4 - Prob. 18E Ch. R.4 - Prob. 19E Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Prob. 21E Ch. R.4 - Prob. 22E Ch. R.4 - Prob. 23E Ch. R.4 - Prob. 24E Ch. R.4 - Prob. 25E Ch. R.4 - Prob. 26E Ch. R.4 - Prob. 27E Ch. R.4 - Prob. 28E Ch. R.4 - Prob. 29E Ch. R.4 - Prob. 30E Ch. R.4 - Prob. 31E Ch. R.4 - Prob. 32E Ch. R.4 - Prob. 33E Ch. R.4 - Prob. 34E Ch. R.4 - Prob. 35E Ch. R.4 - Prob. 36E Ch. R.4 - Prob. 37E Ch. R.5 - YOUR TURN Solve 3z25z+7.Ch. R.5 - Prob. 2YT Ch. R.5 - Prob. 3YT Ch. R.5 - Prob. 1E Ch. R.5 - Prob. 2E Ch. R.5 - Prob. 3E Ch. R.5 - Prob. 4E Ch. R.5 - Prob. 5E Ch. R.5 - Prob. 6E Ch. R.5 - Prob. 7E Ch. R.5 - Prob. 8E Ch. R.5 - Prob. 9E Ch. R.5 - Prob. 10E Ch. R.5 - Prob. 11E Ch. R.5 - Prob. 12E Ch. R.5 - Prob. 13E Ch. R.5 - Prob. 14E Ch. R.5 - Prob. 15E Ch. R.5 - Prob. 16E Ch. R.5 - Prob. 17E Ch. R.5 - Prob. 18E Ch. R.5 - Prob. 19E Ch. R.5 - Prob. 20E Ch. R.5 - Prob. 21E Ch. R.5 - Solve each inequality and graph the solution....Ch. R.5 - Prob. 23E Ch. R.5 - Prob. 24E Ch. R.5 - Prob. 25E Ch. R.5 - Prob. 26E Ch. R.5 - Prob. 27E Ch. R.5 - Prob. 28E Ch. R.5 - Prob. 29E Ch. R.5 - Prob. 30E Ch. R.5 - Prob. 31E Ch. R.5 - Prob. 32E Ch. R.5 - Prob. 33E Ch. R.5 - Prob. 34E Ch. R.5 - Prob. 35E Ch. R.5 - Prob. 36E Ch. R.5 - Prob. 37E Ch. R.5 - Prob. 38E Ch. R.5 - Prob. 39E Ch. R.5 - Prob. 40E Ch. R.5 - Prob. 41E Ch. R.5 - Prob. 42E Ch. R.5 - Solve each inequality. m3m+50 Ch. R.5 - Prob. 44E Ch. R.5 - Prob. 45E Ch. R.5 - Prob. 46E Ch. R.5 - Prob. 47E Ch. R.5 - Prob. 48E Ch. R.5 - Prob. 49E Ch. R.5 - Prob. 50E Ch. R.5 - Prob. 51E Ch. R.5 - Prob. 52E Ch. R.5 - Prob. 53E Ch. R.5 - Prob. 54E Ch. R.6 - YOUR TURN 1 Simplify (y2z4y3z4)2.Ch. R.6 - YOUR TURN 2 Factor 5z1/3+4z2/3.Ch. R.6 - Evaluate each expression. Write all answers...Ch. R.6 - Prob. 2E Ch. R.6 - Prob. 3E Ch. R.6 - Prob. 4E Ch. R.6 - Prob. 5E Ch. R.6 - Prob. 6E Ch. R.6 - Prob. 7E Ch. R.6 - Prob. 8E Ch. R.6 - Prob. 9E Ch. R.6 - Prob. 10E Ch. R.6 - Prob. 11E Ch. R.6 - Simplify each expression. Assume that all...Ch. R.6 - Prob. 13E Ch. R.6 - Prob. 14E Ch. R.6 - Prob. 15E Ch. R.6 - Prob. 16E Ch. R.6 - Prob. 17E Ch. R.6 - Prob. 18E Ch. R.6 - Prob. 19E Ch. R.6 - Prob. 20E Ch. R.6 - Prob. 21E Ch. R.6 - Prob. 22E Ch. R.6 - Prob. 23E Ch. R.6 - Simplify each expression, writing the answer as a...Ch. R.6 - Prob. 25E Ch. R.6 - Simplify each expression, writing the answer as a...Ch. R.6 - Prob. 27E Ch. R.6 - Prob. 28E Ch. R.6 - Prob. 29E Ch. R.6 - Prob. 30E Ch. R.6 - Prob. 31E Ch. R.6 - Prob. 32E Ch. R.6 - Prob. 33E Ch. R.6 - Prob. 34E Ch. R.6 - Prob. 35E Ch. R.6 - Prob. 36E Ch. R.6 - Prob. 37E Ch. R.6 - Prob. 38E Ch. R.6 - Prob. 39E Ch. R.6 - Prob. 40E Ch. R.6 - Prob. 41E Ch. R.6 - Prob. 42E Ch. R.6 - Prob. 43E Ch. R.6 - Prob. 44E Ch. R.6 - Prob. 45E Ch. R.6 - Prob. 46E Ch. R.6 - Prob. 47E Ch. R.6 - Prob. 48E Ch. R.6 - Prob. 49E Ch. R.6 - Prob. 50E Ch. R.6 - Prob. 51E Ch. R.6 - Prob. 52E Ch. R.6 - Prob. 53E Ch. R.6 - Prob. 54E Ch. R.6 - Prob. 55E Ch. R.6 - Prob. 56E Ch. R.7 - YOUR TURN Simplify 28x9y5.Ch. R.7 - Prob. 2YT Ch. R.7 - Prob. 1E Ch. R.7 - Prob. 2E Ch. R.7 - Prob. 3E Ch. R.7 - Prob. 4E Ch. R.7 - Prob. 5E Ch. R.7 - Prob. 6E Ch. R.7 - Prob. 7E Ch. R.7 - Prob. 8E Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Prob. 10E Ch. R.7 - Prob. 11E Ch. R.7 - Prob. 12E Ch. R.7 - Prob. 13E Ch. R.7 - Prob. 14E Ch. R.7 - Prob. 15E Ch. R.7 - Prob. 16E Ch. R.7 - Prob. 17E Ch. R.7 - Prob. 18E Ch. R.7 - Prob. 19E Ch. R.7 - Prob. 20E Ch. R.7 - Prob. 21E Ch. R.7 - Prob. 22E Ch. R.7 - Prob. 23E Ch. R.7 - Prob. 24E Ch. R.7 - Prob. 25E Ch. R.7 - Prob. 26E Ch. R.7 - Prob. 27E Ch. R.7 - Prob. 28E Ch. R.7 - Prob. 29E Ch. R.7 - Prob. 30E Ch. R.7 - Prob. 31E Ch. R.7 - Prob. 32E Ch. R.7 - Prob. 33E Ch. R.7 - Prob. 34E Ch. R.7 - Prob. 35E Ch. R.7 - Prob. 36E Ch. R.7 - Rationalize each denominator. Assume that all...Ch. R.7 - Prob. 38E Ch. R.7 - Prob. 39E Ch. R.7 - Prob. 40E Ch. R.7 - Rationalize each numerator. Assume that all...Ch. R.7 - Rationalize each numerator. Assume that all...Ch. R.7 - Rationalize each numerator. Assume that all...Ch. R.7 - Prob. 44E

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