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Questions and Answers of
College Algebra
An economy car rented in Florida from Enterprise® on a weekly basis costs $185 per week. Extra days cost $37 per day until the day rate exceeds the weekly rate, in which case the weekly rate
Problems 127–135 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
Graph the following functions using transformations. (a) f(x) = int(-x) (b) g(x) = -int(x)
Problems 76–85 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
Problems 76–85 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
Graph the following functions using transformations (a) f(x) = int(x - 1) (b) g(x) = int(1 - x)
Problems 76–85 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find
Problems 98–106 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
Problems 76–85 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Ethan
Problems 76–85 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find
Problems 98–106 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
Problems 98–106 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
Problems 127–135 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.How
Problems 127–135 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
Problems 127–135 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
In Problems 37–60, graph each function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function (for example, y = x2) and show all
Apply the quotient rule for exponents, if possible, and write each result using only positive exponents. Assume that all variables represent nonzero real numbers. 7 7-1
Let ƒ(x) = x2 + 4, g(x) = 2x + 3, and h(x) = x - 5. Find each of the following. (fog)(-1/2)
Find each product. [(2a + b) - 3]²
Perform the indicated operations. Subtract (-4x + 2z² + 3m) from [(22²- 3x + m) + (2² - 2m)]. -
Apply the quotient rule for exponents, if possible, and write each result using only positive exponents. Assume that all variables represent nonzero real numbers. 8 8-1
Let ƒ(x) = x2 + 4, g(x) = 2x + 3, and h(x) = x - 5. Find each of the following. (7-) (108)
Find each product. [(4k + h) - 4]²
Apply the quotient rule for exponents, if possible, and write each result using only positive exponents. Assume that all variables represent nonzero real numbers. -3
Find each product. [ε + (q + p) ] [ε − (q + p)]
Perform the indicated operations. [ − (4m² − 8m + 4m³) − (3m² + 2m + 5m³)] + m² -
The tables give some selected ordered pairs for functions ƒ and g.Tables like these can be used to evaluate composite functions. For example, to evaluate (g ° ƒ) (6), use the first table to find
The tables give some selected ordered pairs for functions ƒ and g.Tables like these can be used to evaluate composite functions. For example, to evaluate (g ° ƒ) (6), use the first table to find
Perform the indicated operations. - - −4m² + 3n² − 5n) − [(3m² − 5n² + 2n) + (−3m²) + 4n²]
Find each product. [(m + p) - 5] [(m + p) + 5]
Perform the indicated operations. - [−(y4 − y² + 1) − (y4 + 2y² + 1)] + (3y4 − 3y² − 2)
Apply the quotient rule for exponents, if possible, and write each result using only positive exponents. Assume that all variables represent nonzero real numbers. x³ y²
Apply the quotient rule for exponents, if possible, and write each result using only positive exponents. Assume that all variables represent nonzero real numbers. S 5-8 S
Find each product. [(2h − k) +j][(2h - k) - j]
Perform the indicated operations. [2p (3p-6)] - [(5p - (8-9p)) + 4p]
The tables give some selected ordered pairs for functions ƒ and g.Tables like these can be used to evaluate composite functions. For example, to evaluate (g ° ƒ) (6), use the first table to find
Apply the quotient rule for exponents, if possible, and write each result using only positive exponents. Assume that all variables represent nonzero real numbers. 13
The tables give some selected ordered pairs for functions ƒ and g.Tables like these can be used to evaluate composite functions. For example, to evaluate (g ° ƒ) (6), use the first table to find
Find each product. [(3m - y) + z][(3m - y) — z]
Find each product. (y + 2)³
Perform the indicated operations. - [3z² + 5z - (2z² − 6z)] + [(82² - [5z - z²]) + 2z²]
Perform the indicated operations. 5k − (5k — [2k − (4k − 8k)]) + 11k – (9k – 12k) -
Simplify using the power rules. Assume that all variables represent nonzero real numbers. 9(cr)
Simplify using the power rules. Assume that all variables represent nonzero real numbers. (y)4
Simplify using the power rules. Assume that all variables represent nonzero real numbers. 3 5 3
Find the perimeter of each figure. Express it as a polynomial in descending powers of the variable x. 2x² + 5x - 3 3x + 4
Find each product. (z − 3)³ -
Find the perimeter of each figure. Express it as a polynomial in descending powers of the variable x. 4x²+2, 6x² + 5x + 2 2x² + 3x + 1
Simplify using the power rules. Assume that all variables represent nonzero real numbers. + 3 2
Simplify using the power rules. Assume that all variables represent nonzero real numbers. (41) 3
Find each product. (5r - s) ³ 3
Find each product. (q − 2)4
The perimeter x of an equilateral triangle with sides of length s is given by the formula x = 3s.(a) Solve for s in terms of x.(b) The area y of an equilateral triangle with sides of length s is
Find each product. (x + 3y)³
Simplify using the power rules. Assume that all variables represent nonzero real numbers. (6x²)3
Simplify using the power rules. Assume that all variables represent nonzero real numbers. (5t)4
Find each product. (2a + b) (3a² + 2ab + b²)
Simplify using the power rules. Assume that all variables represent nonzero real numbers. (2x-5) 5
Find each product. (r + 3) 4
Simplify using the power rules. Assume that all variables represent nonzero real numbers. -4m²3 t
The polynomial functionwill give the maximum number of interior regions formed in a circle if x points on the circumference are joined by all possible chords. For x = 1, 2, 3, 4, and 5, see FIGURES
Find each product. (4z - x) (2³ 4z²x + 2zx²x³) -
The polynomial functionwill give the maximum number of interior regions formed in a circle if x points on the circumference are joined by all possible chords. For x = 1, 2, 3, 4, and 5, see FIGURES
Find each product. (m − 5p)(m² − 2mp + 3p²)
The polynomial functionwill give the maximum number of interior regions formed in a circle if x points on the circumference are joined by all possible chords. For x = 1, 2, 3, 4, and 5, see FIGURES
Simplify using the power rules. Assume that all variables represent nonzero real numbers. -5n4\3 p²
Find each product. (m² - 2mp + p²) (m² + 2mp − p²) -
Simplify using the power rules. Assume that all variables represent nonzero real numbers. -2a4 65 6
Find each product. (3r + 2s) (r³+2r²s - rs² + 2s³)
Simplify using the power rules. Assume that all variables represent nonzero real numbers. ts 4
The polynomial functionwill give the maximum number of interior regions formed in a circle if x points on the circumference are joined by all possible chords. For x = 1, 2, 3, 4, and 5, see FIGURES
Find each product. (3 + x + y) (-3 + x - y)
Match the expression in Column I with its equivalent expression in Column II. Choices may be used once, more than once, or not at all. (a) (b) (-3) -()* (d) -(-3) -¹ I () 3 (c) A. II C. 3 B.
Find each product. mp(m − p)(m – 2p) (2m + p)
Find each product. ab(a + b)(a + 2b)(a − 3b)
Match the expression in Column I with its equivalent expression in Column II. Choices may be used once, more than once, or not at all. (a) (b) (c) (d) 2 5 I -2 2 5 (3)
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. 5 -2
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. 4 -3
Find the area of each figure. Express it as a polynomial in descending powers of the variable x. Refer to the formulas at the back of this text if necessary. 3x-2y 3x+2y
Find the area of each figure. Express it as a polynomial in descending powers of the variable x. Refer to the formulas at the back of this text if necessary. x² +8 x 2 + 8
Find the area of each figure. Express it as a polynomial in descending powers of the variable x. Refer to the formulas at the back of this text if necessary. x² + 2x + 4 2x + 3
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. 3 -3
Find the area of each figure. Express it as a polynomial in descending powers of the variable x. Refer to the formulas at the back of this text if necessary. 3x-4 50+6
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. -3 ♡ la
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. T 4 -2
For each pair of functions, find (ƒg)(x). f(x) = 3x, g(x) = 6x - 8
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. 5 -2
For each pair of functions, find (ƒg)(x). f(x) = 2x, g(x) = 5x - 1 :
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. 3z 4 -3
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. 2t 3 -4
For each pair of functions, find (ƒg)(x). f(x)=x+1, g(x) = 2x - 3
For each pair of functions, find (ƒg)(x). f(x) = 3x + 4, g(x) = 9x² 12x + 16
For each pair of functions, find (ƒg)(x). f(x)=x-7, g(x) = 4x + 5
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. 2 -5
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. -2 (1) ² 4x
For each pair of functions, find (ƒg)(x). f(x)=2x-3, g(x) = 4x² + 6x + 9 :
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. 5x -3
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (fg)(x)
Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. t- -14
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (fh)(x)
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