1. Write up an absolute value inequality to describe the situation, and then solve it: Find...

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1. Write up an absolute value inequality to describe the situation, and then solve it: Find all real numbers t such that t is within 7 units of 4. 2. Write up an absolute value inequality to describe the situation, and then solve it: Find all real numbers t such that 2t is within 3 units of -5. 3. Write up an absolute value inequality to describe the situation, and then solve it: Find all real numbers t such that t is at least 7 units away from 4. 4. Write up an absolute value inequality to describe the situation, and then solve it: Find all real numbers t such that 2t is at least 7 units away -5. 10. The profit function for selling a units of a certain product is given by P(x)=-752² +92-24 For what number of units will there be profit? 11. The height of a ball in the air off the ground in meters, 1 seconds after it is thrown, is given by the equation s(t)=-4.9t2 + 10t+16 Approximately at what times is the ball lower than 15 meters off the ground? 12. The height of a ball in the air off the ground in meters, t seconds after it is thrown, is given by the equation s(t)=-4.9t² + 12t+10 Aroximately at what times is the ball at mosst 8 meters off the ground? 13. The number of robberies, in thousands, in California from 1960 to 1990 can be described by the polynomial model p(x) = -0.0047z³ +0.1878x² +1.4126z + 12.23 where z is the number of years since 1960 (source: http://www.disastercenter.com/crime/cacrime.htm). a. Evaluate and interpret the meaning of P(6). b. Evaluate and interpret the meaning of P(8). 14. The number of robberies, in thousands, in California from 1960 to 1990 can be described by the polynomial model p(x) = -0.00472³ +0.1878 since 1960 (source: http://www.disastercenter.com/crime/cacrime.htm). +1.4126z + 12.23 where z is the number of years a. Evaluate and interpret the meaning of P(14). b. Evaluate and interpret the meaning of P(17). 15. The number of vehicle thefts in California from 1960 to 1990 can be modeled by the polynomial p(z) = 30.97³-1266.9x² + 19199z+29130 where z is the number of years since 1960 (source: http://www.disastercenter.com/crime/cacrime.htm). a. Evaluate and interpret the meaning of P(21). b. Evaluate and interpret the meaning of P(18). 16. The number of vehicle thefts in California from 1960 to 1990 can be modeled by the polynomial p(x) = 30.971³-1266.9x² + 19199z+29130 where z is the number of years since 1960 (source: http://www.disastercenter.com/crime/cacrime.htm). a. Evaluate and interpret the meaning of P(12). b. Evaluate and interpret the meaning of P(16). 17. Consider the polynomial p(z)-30.92³-12.9² +1199z+2913 a. State the degree and leading coefficient of this polynomial. b. Describe the end behavior of this polynomial as z gets very large. 18. Consider the polynomial p(z) = -35.924-12.92²+1912 +29130 a. State the degree and leading coefficient of this polynomial. b. Describe the end behavior of this polynomial as z gets very large. 19. Consider the polynomial p(z) = (4-2)(z-3)(-2+2) a. State the degree and leading coefficient of this polynomial. b. Describe the end behavior of this polynomial as z gets very large. 20. Consider the polynomial p(z) = (2-5)(z-3)(z+2)(~z+1) 1. Write up an absolute value inequality to describe the situation, and then solve it: Find all real numbers t such that t is within 7 units of 4. 2. Write up an absolute value inequality to describe the situation, and then solve it: Find all real numbers t such that 2t is within 3 units of -5. 3. Write up an absolute value inequality to describe the situation, and then solve it: Find all real numbers t such that t is at least 7 units away from 4. 4. Write up an absolute value inequality to describe the situation, and then solve it: Find all real numbers t such that 2t is at least 7 units away -5. 10. The profit function for selling a units of a certain product is given by P(x)=-752² +92-24 For what number of units will there be profit? 11. The height of a ball in the air off the ground in meters, 1 seconds after it is thrown, is given by the equation s(t)=-4.9t2 + 10t+16 Approximately at what times is the ball lower than 15 meters off the ground? 12. The height of a ball in the air off the ground in meters, t seconds after it is thrown, is given by the equation s(t)=-4.9t² + 12t+10 Aroximately at what times is the ball at mosst 8 meters off the ground? 13. The number of robberies, in thousands, in California from 1960 to 1990 can be described by the polynomial model p(x) = -0.0047z³ +0.1878x² +1.4126z + 12.23 where z is the number of years since 1960 (source: http://www.disastercenter.com/crime/cacrime.htm). a. Evaluate and interpret the meaning of P(6). b. Evaluate and interpret the meaning of P(8). 14. The number of robberies, in thousands, in California from 1960 to 1990 can be described by the polynomial model p(x) = -0.00472³ +0.1878 since 1960 (source: http://www.disastercenter.com/crime/cacrime.htm). +1.4126z + 12.23 where z is the number of years a. Evaluate and interpret the meaning of P(14). b. Evaluate and interpret the meaning of P(17). 15. The number of vehicle thefts in California from 1960 to 1990 can be modeled by the polynomial p(z) = 30.97³-1266.9x² + 19199z+29130 where z is the number of years since 1960 (source: http://www.disastercenter.com/crime/cacrime.htm). a. Evaluate and interpret the meaning of P(21). b. Evaluate and interpret the meaning of P(18). 16. The number of vehicle thefts in California from 1960 to 1990 can be modeled by the polynomial p(x) = 30.971³-1266.9x² + 19199z+29130 where z is the number of years since 1960 (source: http://www.disastercenter.com/crime/cacrime.htm). a. Evaluate and interpret the meaning of P(12). b. Evaluate and interpret the meaning of P(16). 17. Consider the polynomial p(z)-30.92³-12.9² +1199z+2913 a. State the degree and leading coefficient of this polynomial. b. Describe the end behavior of this polynomial as z gets very large. 18. Consider the polynomial p(z) = -35.924-12.92²+1912 +29130 a. State the degree and leading coefficient of this polynomial. b. Describe the end behavior of this polynomial as z gets very large. 19. Consider the polynomial p(z) = (4-2)(z-3)(-2+2) a. State the degree and leading coefficient of this polynomial. b. Describe the end behavior of this polynomial as z gets very large. 20. Consider the polynomial p(z) = (2-5)(z-3)(z+2)(~z+1)