Concept explainers
Rewrite each expression in Exercises 1–16 as a single rational expression, simplified as much as possible.
Trending nowThis is a popular solution!
Chapter 0 Solutions
Applied Calculus
- Rationalize the numerator of x+10 – 100 Paragraph A.arrow_forwardIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. 133. y + x + x + y 134. 36x2" – y2n 135. x* 3n 12n 136. 4x2" + 20x"y" + 25y2marrow_forwardIn Exercises 132–137, factor each polynomial. Assume that all variable exponents represent whole numbers. 132. 9x2" + x" – 8 133. 4x2n – 9x" + 5 134. an+2 – a"+2 – 6a? 135. b2n+2 + 3b"+2 10b2 136. 3c"+2 10c"+1 + 3c" 137. 2d"+2 5d"+1 + 3d"arrow_forward
- Exercises 81–84 involve the perimeter and area of various geometric figures. Refer to Table 1.6 on page 60 if you've forgotten any of the formulas. In Exercises 81-82, find the perimeter and area of each rectangle. Express answers in simplified radical form. 81. V125 feet 2V20 feet 82. 4V20 feet V80 feet 83. Find the perimeter of the triangle in simplified radical form. V80 m V45 m V125 m 84. Find the area of the trapezoid in simplified radical form. V2 feet Võ feet Vỹ feetarrow_forwardExpress (5 – 3i)3 in the form a + ib.arrow_forwardIn("+1)") æ(x²+1) 2x³ – 1arrow_forward
- Find (1 + i)10.arrow_forwardPage 102 #1 1. What is the value of 4(x- 2)(x-3)+7(x- 2)(x- 5)-6(x- 3)(x- 5) when x = 5? Show your work or explain your reasoning. Submitarrow_forwardDetermine which expression is the correct rationalization of the numerator of Wx+1-5 X+ 24 x+1 +5 x- 5 x(x+1 +5) x- 24 x(x+1 +5) x- 24 x+1 +5arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University