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Questions and Answers of College Algebra

Apply the product rule for exponents, if possible.r2 • s4
Give the numerical coefficient and the degree of each term.-x3
Write the boldfaced numbers in each problem in scientific notation. The annual U.S. budget first passed $1,000,000,000 in 1917. In 1987, it exceeded $1,000,000,000,000 for the first time. The budget
Apply the product rule for exponents, if possible.p3 • q2
Give the numerical coefficient and the degree of each term.-y9
Find each product. (2m + 6) (5m - 3)
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). f(x) = 4x4 + 2x² - 1
Perform the indicated operations. (4x³ 3x² + 2x - 5) − (3x³ + 11x + 8) + (x² − x) -
Apply the product rule for exponents, if possible. (-3w5) (9w³)
Write the boldfaced numbers in each problem in scientific notation. The largest of the 50 United States is Alaska, with land area of about 365,482,000 acres, while the smallest is Rhode Island, with
Simplify each expression. Assume that all variables represent nonzero real numbers. (-3x4y³)(4x-²y5)
Find each product. (8 m)(ç + m)
Write each polynomial in descending powers of the variable. Then give the leading term and the leading coefficient.2x3 + x - 3x2 + 4
Write each number in standard notation.7.2 × 104
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). f(x) = x² + 2x³ - 8
Let ƒ(x) = x2 + 3x + 2 and g(x) = x + 1. Find each of the following. (a) (fg)(x) (b) (fg) (-2) (c) (+)(x) (d) (²)(-2)
Apply the product rule for exponents, if possible. (-5x²)(3x4)
Simplify each expression. Assume that all variables represent nonzero real numbers. 6m-4n3 -3mn²
Find each product. p(p+ 4)(p-6)
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). II + x − ₂x = (x)f
Find each product. 4z(2z + 1) (324)
Imports of Fair Trade Certified™ coffee into the United States during the years 2007 through 2016 can be modeled by the polynomial functionwhere x = 7 represents 2007, x = 8 represents 2008, and so
Apply the product rule for exponents, if possible. (2x²y5) (9xy³)
Apply the product rule for exponents, if possible. (8st) (3s3t5)
Simplify each expression. Assume that all variables represent nonzero real numbers. (5p-2q)(4p5q-³) 2p-5q5
Write each polynomial in descending powers of the variable. Then give the leading term and the leading coefficient.q2 + 3q4 - 2q + 1
Write each number in standard notation. 8.91 × 102
Find each product. 2y (2y + 1)(8y-3)
Write each polynomial in descending powers of the variable. Then give the leading term and the leading coefficient.4p3 - 8p5 + p7
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. I (a) 9⁰ (b) -9⁰ (c) (-9)⁰ (d) -(-9)⁰ II A. 0 B. 1 C.
Write each number in standard notation. 2.54 × 10-3
World tourism receipts during the years 2000 through 2016 can be modeled by the polynomial function P(x)= -0.2869x3 + 6.139x2 + 22.84x + 465.3, where x = 0 represents 2000, x = 1 represents 2001, and
Find each product. 4x³(x − 3)(x + 2)
Write each polynomial in descending powers of the variable. Then give the leading term and the leading coefficient.3y2 + y4 - 2y3
Write each number in standard notation. 5.42 × 10-4
Explain the difference between the expressions (-6)0 and -60.
For each pair of functions, find (a) (ƒ + g)(x) and (b) (ƒ - g)(x). f(x) = 5x10, g(x) = 3x + 7
The percent of the U.S. population that was foreign-born during the years 1930 through 2016 can be modeled by the polynomial function P(x) = 0.0039x2 - 0.3001x + 11.33, where x = 0 represents 1930, x
Find each product. 2y5(y-8)(y + 2)
The amount spent by international visitors to the United States during the years 1990 through 2016 can be modeled by the polynomial function P(x) = 0.01287x3 - 0.3514x2 + 4.979x + 45.24, where x = 0
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. I (a) 2x⁰ (b)-2x0 (c) (2x)⁰ (d) (-2x)⁰ II A. 0 B. 1 C.
Write each polynomial in descending powers of the variable. Then give the leading term and the leading coefficient.10 - m3 - 3m4
Write each number in standard notation.-6 × 104
Write each polynomial in descending powers of the variable. Then give the leading term and the leading coefficient.4 - x - 8x2
Write each number in standard notation. -9 × 103
Write each number in scientific notation.0.0000000765
Identify each polynomial as a monomial, binomial, trinomial, or none of these. Give the degree.25
Write each number in standard notation. 1.2 × 10-5
Write each number in scientific notation.-0.138
Find each product. (2t + 3) (31²-4t - 1)
Evaluate. Assume that all variables represent nonzero real numbers.150
For each pair of functions, find (a) (ƒ + g)(x) and (b) (ƒ - g)(x). f(x) = −4x + 1, g(x) = 6x + 2
Identify each polynomial as a monomial, binomial, trinomial, or none of these. Give the degree.15
Simplify each expression. Assume that all variables represent nonzero real numbers. 3r5 -2 5r-3 9r 3 5) ² (275) 2r-5
Multiply or divide as indicated. 3x + 12 4x 4x + 16 6x²
Add or subtract as indicated. 5x + x + 3 x + 2 6 x² + 3x
Add or subtract as indicated. 4 x + 1 + 1 x² = x + 1 12 x³ + 1
Multiply or divide as indicated. k² - 4 3k² ÷ 2-k 11k
Add or subtract as indicated. 2x + 4 x + 3 + 3 X 6 x² + 3x
Multiply or divide as indicated. m² - 49 m+ 1 7-m m
Multiply or divide as indicated. x² - 25 x² + x - 20 x² + 7x + 12 x² x² - 2x - 15
Add or subtract as indicated. 3 (p-2)² 5 p-2 +4
Multiply or divide as indicated. 12x - 10y 3x+2y 6x +4y 10y - 12х
Add or subtract as indicated. 4x + 1 x + 5 1 2 X + 10 x2+5r
Multiply or divide as indicated. 64x³ + 1 4x² 100 100 4x + 20 64x² 64x² 16x + 4
Multiply or divide as indicated. 9s 12t 2s + 2t 3s + 3t 4t 3s
Multiply or divide as indicated. a³ - 8b³ a²ab6b² a² + ab 126² a² + 2ab - 86²
Add or subtract as indicated. 8 2 + (3r 1)² 3r 1 - - - 6 -
Multiply or divide as indicated. 1² - 49 1²+ 4t-21 t² + 8t + 15 12² - 2t - 35
Add or subtract as indicated. 6х 20 - 6x2 + 5xy - 4y2 9x2 – 16y2
Add or subtract as indicated. 5x 3x x2 + xy - 2y² x2 + 5xy — бу2
Multiply or divide as indicated. p³ - 27q³ p² + pq - 12q² p²-2pq-24q² p² - 5pq - 6q²
Multiply or divide as indicated. 8a²6a-94a² + 11a + 6 6a²5a - 6 9a² + 12a + 4
A Concours d’ Elegance is a competition in which a maximum of 100 points is awarded to a car on the basis of its general attractiveness. The function defined by the rational expression approximates
Add or subtract as indicated. 5x - y 3x + 2y x² + xy - 2y² x² + 5xy - 6y²
Multiply or divide as indicated. 6x² + 5x 6 12x² 11x + 2 - 4x² 12x + 9 8x²14x + 3
Add or subtract as indicated. 6x + 5y 6x² + 5xy4y² x + 2y 9x² - 16y²
Multiply or divide as indicated. (-4a²b³)².9(a²b4) ² (2a²b³)4 (3a³b)² . (ab) 4 (a²b³) ²
Add or subtract as indicated. r + s 3r² + 2rs - s² S-r 6r²-5rs + s²
Multiply or divide as indicated. (zu)(u)(u) 16m²n²(mn²)³ (3m²n³) ²
Add or subtract as indicated. Зу y2 + yz — 2z2 4y - 1 y2 — z2 + - 22² ²
A cost-benefit model expresses cost of an undertaking in terms of benefits received. One such model gives the cost, in thousands of dollars, to remove x percent of a pollutant asAnother model
Multiply or divide as indicated. 3k² + 17kp + 10p² 6k² + 13kp - 5p² 6k² + kp - 2p² 6k²-5kp+p²
Multiply or divide as indicated. 2x³ + 3x² - 2x 3x - 15 2x³ - x² x²3x10, 5x² - 10x 3x² + 12x + 12
Multiply or divide as indicated. 16c² + 24cd +9d² 16c² 16cd + 3d² 16c²-9d² 16c² 24cd9d²
Multiply or divide as indicated. 6k² - 13k - 5 k² + 7k 2k - 5 k³ +6k²7k, k² - 5k + 6 3k² - 8k - 3
In Problems 65–72, determine, without graphing, whether the given quadratic function has a maximum value or a minimum value, and then find the value. f(x) = -x -x² + 6x - 1
The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation (a) Find a model that expresses the revenue R as a function of p. (b) What is the domain of R?
The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation.(a) Find a model that expresses the revenue R as a function of p. (Remember, R = xp.) (b) What is
In Problems 13–24, use the graph on the right of the function f. Find the absolute maximum of fon [-10, 7].
In Problems 11–16: (a) Draw a scatter plot. (b) Select two points from the scatter plot, and find an equation of the line containing the points selected. (c) Graph the line found in part (b) on
In Problems 7–22, solve each inequality. 0 OTXE + zx
Find the intercepts of the equation y = x2 - 9
Write (-2, 7] using inequality notation.
In Problems 7–22, solve each inequality. x² 3x10 < 0
Find the average rate of change of f(x) = -4x + 3, from 2 to 4.
In Problems 5–10, examine each scatter plot and determine whether the relation is linear or nonlinear. NORMAL FLOAT AUTO REAL RADIAN MP 25 DO DO 0 10
In Problems 5–10, examine each scatter plot and determine whether the relation is linear or nonlinear. NORMAL FLOAT AUTO REAL RADIAN MP 55 5:20 35
In Problems 5–10, examine each scatter plot and determine whether the relation is linear or nonlinear NORMAL FLOAT AUTO REAL RADIAN MP -2 22 0 00 8 0 -12
Find the discriminant of 2x2 - 5x - 8 = 0. Then identify the number of real solutions of the equation.

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