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Problem 46

Elections The expression \(2.6 y+107\) models the number of eligible voters in millions in the United States from 1960 to 2000 . In the expression, \(y\) represents the number of years since 1960 . a. Find the approximate number of eligible voters in 1988 . b. Assume that the model continues to hold for future years. How many eligible voters will there be in 2012\(?\) In 2020\(?\) c. The expression \(-0.3 y+61\) models the percent of eligible voters who voted in presidential elections from 1960 to 2000 . (See Example \(3 .\) ) Write an expression that models the number of voters in presidential elections from 1960 to 2000 . d. Use your model from (c) to find the approximate number of voters who voted for president in \(1980 .\)

Problem 46

What is the theoretical probability of getting a 2 or a 3 when rolling a number cube? A. \(\frac{1}{2}\) B. \(\frac{1}{3}\) C. \(\frac{1}{4}\) D. \(\frac{1}{6}\)

Problem 46

Solve each compound inequality. Graph the solutions. \(6 b+3<15\) or \(4 b-2>18\)

Problem 46

Solve each inequality. Graph the solutions. $$ -2|x+4|<22 $$

Problem 47

Simplify by combining like terms. $$ -a^{2}+2 b^{2}+\frac{1}{4} a^{2} $$

Problem 47

Solve each inequality. Graph the solutions. $$ 2|4 t-1|+6>20 $$

Problem 47

Solve each compound inequality. Graph the solutions. \(6 c \leq 18\) or \(-5 c \leq 15\)

Problem 47

How many outcomes are in the sample space for rolling a number cube and tossing a coin? F. 2 G. 6 H. 12 J. 24

Problem 47

Name the property of real numbers illustrated by each equation. $$ \frac{4}{7} \cdot \frac{7}{4}=1 $$

Problem 48

Simplify by combining like terms. $$ x+\frac{x^{2}}{2}+2 x^{2}-x $$

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