Need a little help with Algebra. Just need the correct answers to the problems listed below. Don't need to show work, just need the correct answers
\f4. Simplify the expression -3(4x 2) ~ 2(5x 4) a) -22x - 14 b) 22x 6 c) 9x+ 14 d) -22x + 14 e) -9x + 14 5. Solve the formula for b: A = 1/2le Answer = 6. Solve the equation (4m m 2)2 - 2(4m 2) = 15 a) {1/4} b) {714,1/4} c) {-7/4,4} d) {4/7, 4} e) None of the above 7. A farmer has 2000 feet of fencing available to enclose a rectangular eld. One side of the eld is a river, so only three sides require fencing. Express the area A as a mction of x, where x is the length of the side parallel to the river. a) A = x2/2 + 2000): b) A = -x2/2 + 1000); c) A=x32000x d) A=x2+1000x e) A=- 2+1000x 8. If x) is a linear function such that f(2) = 4 and f(3 ) 2 14, which of the following could represent f(x)? a) x) m 2x2 - 3 b) 'x) = 2x2 + 12 0) fa) : 2X + 3 d) fr) = 1/2 x + 5 6) f(x) = none of these 9. The length of a rectangular poster is one foot more then the width and the diagonal of the poster is 5 feet. What are the length and width ? 10. The function W(x) = 4).le2 + 0.273; + 8.60 can be used to estimate the number of self-employed workers in America in millions, x years after 1980. For what years were there (or will be there) 9.7 million self-employed worker in America? Answers and 1 l. Solve using the quadratic formula 2;;2 + 2x I: 3 a)xz1s=xl7 2 b) x=2:l:w126 12. Wn'te in lowest terms: b2 + 6b 16 b2 + 5b 24 a) 192 3 CI" b)2 3 c) 6b16 513-24 (1) 6132 5b-3 e) none of the above 13. Solve the inequality I-2X 5| 5 6 a) x 2 -1 1/2 b) x S I/2 c) 11/2 5 XS 1/? d) 412 EX 5:112 e) none of the above 14. Ifi : 4-1, then {i + 1X61? 10) is equivalent to a) 40 -10i b) -12,- - 20 c) -16+161' d) 16 + 161' e) -164i 15. Find the area of the following triangle. b)A=2x/y c)A=1/2xy d)A=2xy 6)A=X2+y2 16. Find the missing side of the triangle. d} x2 Hy2 a) x2 + y Answer is 17. Solve for 'p' from this formula 'om optics. 1/9 = um+ 1/1) P: 18. Regression analysis problem: Determine the correlation coefcient and coe'icient of determination for the following data. Interpret the relationship between X and Y. 5 3 6 3-1-1.\" 12 13 _ 11 9 5 Y 13 15 7 Correlation coefcient is ? Coefcient of determination is ? Interpretation (2 points): 19. The following equation y = 6x + 121, estimates the number of faculty members at two year colleges, in thousands, where x is the number of years after 1970. For what year will there be more then 360,000 faculty members? Answer 20. Find the zero for the function f(x) = 4x:: - 11x - 3 Answer and 21. Which of these functions is(are) always increasing? (I) f(x) = x2 + 2); +1 (11) f(x) 2 2x 1000 (III) f(x) 2 Ix m 4[ + 255 (IV) f(X) = -e"' A) (I) and (II) only 13) (11) only C) (11) and (IV) only D) (I) and (III) only E) (III) and (IV) only 22. Solve 3x2 - 2 = -4x a) 4 :l: V1014 b) tux/10 3 c) {5:410 d} .. 2i 110 3 6) none of the above 23. Use synthetic division to nd the function value for f(x) = x3 62:2 +11): - 6, nd f(3) Answer 24. The of a line containing (Xi, yl) and (X2, y2) is given by (y2 yi)/(X2 XI) 25. To stop a moving car takes some time and distance. The stopping distance d of a car after the brakes have been applied varies directly as the square of the speed r. If a car traveling 60 mph can stop in 200 feet, how fast can a car travel and still stop in 72 feet? Answer feet 26. Science problem concerning a rocket. $90 = -16t2 + 80t + 224 is the function that represent the height of a rocket. In this equation, given the height S, in feet, of a model rocket launched with a velocity of 80 ft/sec from a hill that is 224 feet high, where t is the time in seconds. When will the rocket reach the ground? Answer time = 27. Regression analysis problem: Determine the correlation coefcient and coefcient of determination for the following dam Interpret the relationship between X and Y. 5 3 6 3 4 -n-_ 13 15 7 12 13 11 9 Regression equation is ? Determine the value of Y when X is 7. Answer is ? 28. Find the x intercepts and the zeros of the function f(x) = 2x2 -13x -7 Answers x intercepts (?, '2) and ('2, ?) and Zeros and 29. Solve for x, where log: K = 3 a) 1/64 b) -12 0) ~16 \f
