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mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
Evaluate each expression. 5-1 + 6-1
Let ƒ(x) = x2 and g(x) = 2x - 1. Match each expression in Column I with the description of how to evaluate it in Column II. I (fof)(5) II A. Square 5. Take the result and square it. B. Double 5 and subtract 1. Take the result and square it. C. Double 5 and subtract 1. Take the result, double it,
Find each product. (4m + 3)²
Add or subtract as indicated. (2d + 7) (3d - 1)
Find each product. (a - 3)²
Evaluate each expression. 2-1 + 8-1
Evaluate each expression. 4-1 + 5-1
Add or subtract as indicated. (2a² + 3a − 1) (4a² + 5a + 6)
Find each product. (x + 1)²
Evaluate each expression.6-1 + 7-1
Let ƒ(x) = x2 and g(x) = 2x - 1. Match each expression in Column I with the description of how to evaluate it in Column II. I (g°g) (5) II A. Square 5. Take the result and square it. B. Double 5 and subtract 1. Take the result and square it. C. Double 5 and subtract 1. Take the result, double it,
Find each product. (t + 2)²
Find each product. (3t - 2s)²
Add or subtract as indicated. (q2q² + 10) - (3q+5q²5)
Evaluate each expression. 8-1 - 3-1
Evaluate each expression. 6-1 - 4-1
Divide. 4y³ - 12y² + 5y 4y
Evaluate each expression. 1 4-2
For ƒ(x) = x - 8 and g(x) = 2, a student found (ƒ ° g) (x) incorrectly as follows.Give the correct composition. (fog)(x) = 2(x-8) = 2x - 16
Add or subtract as indicated. (25+ +32² +22) (425 + 2z² - 5z)
Find each product. (2p+7)²
Evaluate each expression. 3-3
Find each product. (3z + 8)²
For ƒ(x) = 2x + 3 and g(x) = x + 5, a student found (ƒ ° g) (x) correctly asWhen asked to find (g ° ƒ) (x), he gave the same result. Give the correct composition. (fog)(x) = 2x + 13.
Divide. x³9x² + 26x - 30 x-5
Add or subtract as indicated. (5t³ - 3t² + 2t) - (4t³ + 2t² + 3t)
Evaluate each expression. 2-2 3-3
Let ƒ(x) = x2 + 4, g(x) = 2x + 3, and h(x) = x - 5. Find each of the following. (hog)(4)
Add or subtract as indicated. Add. 21p - 8 -9p +4
Divide. 2p³ +9p² + 27 2p - 3
Find each product. (4n- 3m)²
Evaluate each expression. 3-3 2-2
Find each product. (5r - 7s)²
Divide. 5p4 + 15p³ - 33p² - 9p + 18 5p² - 3
Let ƒ(x) = x2 + 4, g(x) = 2x + 3, and h(x) = x - 5. Find each of the following. (fog)(4)
Add or subtract as indicated. Add. 15m - 9 4m + 12
The factors in the following exercises involve fractions or decimals. Apply the methods of this section, and find each product. k 5 2
Evaluate each expression. 5-2 2-4
Determine whether each relation defines a function, and give the domain and range. 0. 4 X
For each function, find (a) ƒ(2) and (b) ƒ(-1). y y = f(x) IT 2 -20 -2. I HI X
Determine whether each relation defines a function, and give the domain and range. {(-4, 2), (-4,-2), (1,5), (1, −5)}
Determine whether each relation defines a function, and give the domain and range. 9. 11 4 17 25 -32 47 -69 -14
Determine whether each relation defines a function, and give the domain and range. HI y 0 X
Graph each inequality or compound inequality.3x - 2y ≤ 12
Graph each inequality or compound inequality.5x - y > 6
Graph each inequality or compound inequality.2x + y ≤ 1 and x ≥ 2y
Graph each inequality or compound inequality.x ≥ 2 or y ≥ 2
Determine whether each relation defines y as a function of x. Give the domain. Identify any linear functions.y = 3x - 3
Determine whether each relation defines y as a function of x. Give the domain. Identify any linear functions.y < x + 2
Determine whether each relation defines y as a function of x. Give the domain. Identify any linear functions.y = |x|
Describe the graph of a constant function.
Use the graph shown in FIGURE 1 at the beginning of this section (and repeated here) to work each exercise.Interpret the answer for Exercise 87, rounding down for the year. How does this compare to the estimate from Exercise 86?Data from in Exercise 86 & 87Between which two years were the
Perform the indicated operations and then simplify. Assume that all variables represent nonzero real numbers. (4x + 1)(2x - 3)
Find each product. -q³ (2+3q)
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). f(x) = x² - 7x
Perform the indicated operations. (5x − 3)(2x + 1)
Simplify each expression. Assume that all variables represent nonzero real numbers. (xy-3)-2
Can the graph of a linear function have an undefined slope? Explain.
Repeat Exercise 115 for the points (0, 6), (4, -5), and (-2, 12).Three points that lie on the same straight line are said to be collinear. Consider the points A(3, 1), B(6, 2), and C(9, 3).Data from in Exercise 115Use the slope formula to determine whether the points (1, -2), (3, -1), and (5, 0)
Apply the product rule for exponents, if possible.116 · 114
Give the numerical coefficient and the degree of each term.y6
Write each number in scientific notation.0.0072
Perform the indicated operations and then simplify. Assume that all variables represent nonzero real numbers. 8x²23x + 2 x - 3
Find each product. -3a+(4 + a)
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). f(x) = x² + 5x
Perform the indicated operations. (2m − 5)(3m² + 4m - 5) -
Apply the product rule for exponents, if possible.89 · 8
Give the numerical coefficient and the degree of each term.t/6
Write each number in scientific notation.0.00000692
Simplify each expression. Assume that all variables represent nonzero real numbers. (ع) و جو
Perform the indicated operations. (6x + y) (6x - y)
Perform the indicated operations and then simplify. Assume that all variables represent nonzero real numbers. [(3m - 5n) + p][(3m - 5n) -p]
Find each product. 6k² (3k² + 2k + 1)
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). f(x) = x² - 3x + 4
Perform the indicated operations and then simplify. Assume that all variables represent nonzero real numbers. 20y³x3 + 15y4x + 25yx4 10yx²
Find each product. 5r³ (2r² + 3r + 4)
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). f(x)=x²5x4
Simplify each expression. Assume that all variables represent nonzero real numbers. (5m-3)²(m²)-3
Perform the indicated operations. (3k + q)²
Simplify each expression. Assume that all variables represent nonzero real numbers. 12k-³(K-2)-5 3k-4
Find each product. (5x + 1) (3x² + x)
Apply the product rule for exponents, if possible.12 · 126
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). f(x) = 2x² - 4x + 1
Give the numerical coefficient and the degree of each term.m/4
Write each number in scientific notation. 0.875
Perform the indicated operations and then simplify. Assume that all variables represent nonzero real numbers. (2k-1) (3k2 - 2k + 6)
Perform the indicated operations. [2y+ (32-x)] [2y - (3z - x)]
Simplify each expression. Assume that all variables represent nonzero real numbers. 52 วิ่ง
Find each product. (9a + 2)(4a² + 3a)
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). f(x) = 3x²+x-5
Apply the product rule for exponents, if possible.x3 • x5 • x9
Give the numerical coefficient and the degree of each term.8
Write each number in scientific notation. -38,500
Perform the indicated operations. 16p³ - 32p² + 24p 4p²
Simplify each expression. Assume that all variables represent nonzero real numbers. (2) 6m4\-1, м-9 m m -2 16
Apply the product rule for exponents, if possible.y4 • y5 • y6
Give the numerical coefficient and the degree of each term.2
Find each product. (2y + 3)(3y - 4)
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). f(x) = 5x43x² +6
Write each number in scientific notation.-976,000,000
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