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For Exercises 41–54, write the equation in the form
. Then if the equation represents a
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College Algebra (Collegiate Math)
- For Exercises 39–42, multiply the radicals and simplify. Assume that all variable expressions represent positive real numbers. 39. (6V5 – 2V3)(2V3 + 5V3) 40. (7V2 – 2VIT)(7V2 + 2V1T) 41. (2c²Va – 5ď Vc) 42. (Vx + 2 + 4)²arrow_forwardFor Exercises 19–26, simplify each expression and write the result in standard form, a + bi. 8 + 3i 19. 4 + 5i 20. -4 - 6i 21. 9 - 15i 22. 14 6. -2 -3 -18 + V-48 23. - 20 + V-50 14 - V-98 25. - 10 + V-125 24. 26. 4 10 -7arrow_forwardFor Exercises 73–80, (a) evaluate the discriminant and (b) determine the number and type of solutions to each equation. (See Example 9) 73. Зх? 4х + 6 3D 0 74. 5x - 2x + 4 = 0 75. - 2w? + 8w = 3 76. -6d + 9d = 2 77. Зx(х — 4) 3D х — 4 78. 2x(x – 2) = x + 3 79. –1.4m + 0.1 = -4.9m² 80. 3.6n + 0.4 = -8.1n?arrow_forward
- If 7x – 6y = 2 and -2x – y = 3 are true equations, what would be the value of 5х — 7у?arrow_forwardFor Exercises 99–103, perform the indicated operations. 1 + =i 6. 99. + -i 100. (4 – 7i)(5 + i) 3 5 101. (4 – 6i)? 102. (8 – 3i)(8 + 3i) 4 + 3i 103. 3 - iarrow_forwardIf possible, write –20 – 5x – 15x? as a linear combination of 1 +x + æ²,1+ x² and -2 – x2. Otherwise, enter DNE in all answer blanks. -20- 5х — 15? (1+x + x²)+ (1+x²)+ (-2 — г?).arrow_forward
- The bar graph shows the percentage of households with an interfaithmarriage in 1988 and 2012. Also shown is the percentage of households in which a person of faith is married to someone with no religion.The formula I =1/4x + 26 models the percentage of U.S. households with an interfaith marriage, I, x years after 1988.The formula N =1/4x + 6 models the percentage of U.S. households in which a person of faith is married to someone with no religion, N, x years after 1988.In which years will more than 33% of U.S. households have an interfaith marriage?arrow_forwardPlease show your complete solution. Thank you.arrow_forwardThe discriminant of ax? + bx +c = 0 is defined by-arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage