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Problem 21

Solve each inequality and graph the solution set on a number line. \(3 x \geq-15\)

Problem 21

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(2 x^{2}+7 x+3\)

Problem 21

Evaluate the algebraic expression for the given value or values of the variables. \(4+5(x-7)^{3} ; \quad x=9\)

Problem 21

The bar graph shows average yearly earnings in the United States for people with a college education, by final degree earned. Exercises 21-22 are based on the data displayed by the graph. The average yearly salary of an American whose final degree is a master's is \(\$ 49\) thousand less than twice that of an American whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn \(\$ 116\) thousand. Find the average yearly salary of Americans with each of these final degrees.

Problem 22

The bar graph shows average yearly earnings in the United States for people with a college education, by final degree earned. Based on the data displayed by the graph. The average yearly salary of an American whose final degree is a doctorate is \(\$ 39\) thousand less than twice that of an American whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn \(\$ 126\) thousand. Find the average yearly salary of Americans with each of these final degrees.

Problem 22

Solve each inequality and graph the solution set on a number line. \(7 x<-21\)

Problem 22

Evaluate the algebraic expression for the given value or values of the variables. \(6+5(x-6)^{3} ; \quad x=8\)

Problem 22

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}+7 x+2\)

Problem 22

Solve and check each equation. \(10(3 x+2)=70\)

Problem 23

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(2 x^{2}-17 x+30\)

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