In Problems 47–50, perform the indicated operations and simplify.
49.
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Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- . 3x + 1 = x² + 7x – 1arrow_forward3. m∠A= 1/2 (x-10)and m∠C≅1/3 x+5,find m⏞BCarrow_forwardFor Exercises 8–10, a. Simplify the expression. Do not rationalize the denominator. b. Find the values of x for which the expression equals zero. c. Find the values of x for which the denominator is zero. 4x(4x – 5) – 2x² (4) 8. -6x(6x + 1) – (–3x²)(6) (6x + 1)2 9. (4x – 5)? - 10. V4 – x² - -() 2)arrow_forward
- Equations involving Rational Expressions To solve: 1. Determine the LCD of the rational expressions. 2. Multiply both sides of the equation by this LCD. 3. Perform the resulting operation and simplify the remaining terms. 4. Solve the equation that arises. 5. Check the obtained solutions against the original equation and drop or omit those that will make the rational expressions undefined. Remark: The solutions omitted in Step [5] above are referred to as extraneous roots or extraneous solutions. These omitted values are not included in the solution set.arrow_forwardRationalize the numerator of x+10 – 100 Paragraph A.arrow_forwardwhat is the coefficient of the fourth term of (1/x - 5) ⁴arrow_forward
- Q.4.1 Find the domain of the expressionx-1 / x2 + 5x + 6arrow_forwardFor 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_forward2 and 1/4 X 2/9arrow_forward
- Exercises 38–40 will help you prepare for the material covered in the first section of the next chapter. In Exercises 38-39, simplify each algebraic expression. 38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6) 39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9) 40. The figures show the graphs of two functions. y y 201 10- .... -20- flx) = x³ glx) = -0.3x + 4x + 2arrow_forward3. Simplify (x+ 2)(x2+3x- 4). O A. x3 + 5x2 – 10x – 8 O B. x³ + 5x² + 2x – 8 C. x3 + 5x2 + 10x – 8 D. x3 + 5x2 + x - 8arrow_forwardFind the value of 1. x3 - 1/x3 when x2 + 1/x2 = 8arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage