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mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
Write each number in standard notation. -2.67 × 108
Identify each polynomial as a monomial, binomial, trinomial, or none of these. Give the degree.-7y6 + 11y8
Write each number in standard notation. 8.761 × 100
Write each number in standard notation. 5.8 × 10-3
Evaluate. Express answers in both scientific notation and standard notation. 16 × 104 8 X 108
Evaluate. Assume that all variables represent nonzero real numbers.(-25)0
Identify each polynomial as a monomial, binomial, trinomial, or none of these. Give the degree.12k2 - 9k5
Write each number in standard notation. 5.92 × 100
Find each product. -r2 - 4r + 8 3r - 2
Let ƒ(x) = x2 - 9, g(x)= 2x, and h(x) = x - 3. Find each of the following. (f + g)(x)
Evaluate. Express answers in both scientific notation and standard notation. 6 x 4 x 10-2 10-5
Evaluate. Express answers in standard notation. 12 X 104 2 × 106
Find each product. 2p² + 3p + 6 3p²-4p - 1
Let ƒ(x) = x2 - 9, g(x)= 2x, and h(x) = x - 3. Find each of the following. (f - g)(x)
Evaluate. Express answers in standard notation. 16 X 105 4 X 108
Evaluate. Assume that all variables represent nonzero real numbers.(-30)0
Identify each polynomial as a monomial, binomial, trinomial, or none of these. Give the degree.-mn5
Evaluate. Express answers in both scientific notation and standard notation. 0.0000000164 0.0004
Evaluate. Assume that all variables represent nonzero real numbers.-(-1)0
Find each product. 5y² - 2y + 4 2y² + y + 3
Let ƒ(x) = x2 - 9, g(x)= 2x, and h(x) = x - 3. Find each of the following. (f + g)(3)
Identify each polynomial as a monomial, binomial, trinomial, or none of these. Give the degree.-a3b
Evaluate. Express answers in standard notation. 3 x 10-² 12 X 10³
Evaluate. Assume that all variables represent nonzero real numbers.-(-2)0
Identify each polynomial as a monomial, binomial, trinomial, or none of these. Give the degree.-5m3 + 6m - 9m2
Evaluate. Assume that all variables represent nonzero real numbers.x0
Evaluate. Express answers in both scientific notation and standard notation. 0.0009 X 12,000,000 400,000
Find each product. 223 52² +82 - 1 4z + 3
Apply the quotient rule for exponents, if possible, and write each result using only positive exponents. Assume that all variables represent nonzero real numbers. 75 7-3
Add or subtract as indicated. Add. 3 6y³ - 9y² 4y³ + 2y² + 5y + 8
Use the FOIL method to find each product. (4x - 1)(6x - 7)
Let ƒ(x) = x2 - 9, g(x)= 2x, and h(x) = x - 3. Find each of the following. (g- h) (-3)
Evaluate. Express answers in standard notation. 20,000 X 0.018 300 X 0.0004
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) 5-2 (b)-5-2 (c) (-5)-² (d) -(-5)-² II A. 25 1 25 C. -25 1 25 B. D.
Use the FOIL method to find each product. (5x + 2y) (4x + 3y)
For each polynomial,(a) Write in descending powers (b) Identify as a monomial, binomial, trinomial, or none of these(c) Give the degree 14m6 + 9m7
Combine like terms.x + x + x + x + x
For each polynomial,(a) Write in descending powers (b) Identify as a monomial, binomial, trinomial, or none of these(c) Give the degree -5y4 + 3y3 + 7y2 - 2y
Let ƒ(x) = x2 - 9, g(x)= 2x, and h(x) = x - 3. Find each of the following. (g + h) (1)
Combine like terms. z - z - z + z
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) 4-3 (b)-4-3 (c) (-4)-³ (d) -(-4)-³ II A. 64 B. -64 1 64 C. D. 1 64
Evaluate. Express answers in standard notation. 840,000 X 0.03 0.00021 X 600
Let ƒ(x) = x2 - 9, g(x)= 2x, and h(x) = x - 3. Find each of the following. (8 + h) 4
Use the FOIL method to find each product. (3x + 4y) (2x + 3y)
In 2016, the population of the United States was approximately 323.1 million. (Data from U.S. Census Bureau.)(a) Write the population using scientific notation.(b) Write $1 trillion—that is, $1,000,000,000,000—using scientific notation.(c) Using the answers from parts (a) and (b), calculate how
Add or subtract as indicated. Add. 3x² - 5x + 6 -4x² + 2x - 5
Let ƒ(x) = x2 - 9, g(x)= 2x, and h(x) = x - 3. Find each of the following. (8+ h) 3
Use the FOIL method to find each product. (z − w) (3z + 4w)
For each polynomial,(a) Write in descending powers (b) Identify as a monomial, binomial, trinomial, or none of these(c) Give the degree -7q5r3
Use the FOIL method to find each product. (st) (2s + 5t)
In 2016, the national debt of the U.S. government was about $19.32 trillion. The U.S. population at that time was approximately 323.1 million. (Data from U.S. Census Bureau, U.S. Department of the Treasury.)(a) Write the population using scientific notation.(b) Write the amount of the national debt
Combine like terms. m4 - 3m2 + m
Add or subtract as indicated. Subtract. -5y³ + 8y - 3 4y² + 2y + 9
Write each expression using only positive exponents. Assume that all variables represent nonzero real numbers.5-4
Let ƒ(x) = x2 - 9, g(x)= 2x, and h(x) = x - 3. Find each of the following. (g+ h) (7-) (4 + 8)
In a lottery, a player must choose five numbers from 1 through 50 and one number from 1 through 40. There are about 8.5 × 107 different ways to do this. If 2000 people purchase tickets, at $1.00 each, for all these numbers, how much will each person pay? LOTTERY Choose 5 1 2 3 4 5 6 7 8 9 10 11 12
Use the FOIL method to find each product. (6c - d) (2c + 3d)
Combine like terms. 5a5 + 2a4 - 9a3
Write each expression using only positive exponents. Assume that all variables represent nonzero real numbers.7-2
Let ƒ(x) = x2 - 9, g(x)= 2x, and h(x) = x - 3. Find each of the following. + h) ( - ² ) 4 (g + h) -
Add or subtract as indicated. (4a³9a +15) - (-2a³ + 4a² + 7a)
Combine like terms. 5t + 4s - 6t + 9s
Write each expression using only positive exponents. Assume that all variables represent nonzero real numbers.3-5
Add or subtract as indicated. (3y² + 2y 1) + (5y² - 11y+6)
Use the FOIL method to find each product. (2m - n)(3m + 5n)
In 2017, the population of Luxembourg was approximately 5.94 × 105. The population density was 595 people per square mile.(a) Write the population density in scientific notation. France, (b) To the nearest square mile, what is the area of Luxembourg? Belgium Germany Luxembourg France
Combine like terms.8p - 9q - 3p + q
The cost in dollars to produce x youth baseball caps is C(x) = 4.3x + 75. The revenue in dollars from sales of x caps is R(x) = 25x.(a) Write and simplify a function P that gives profit in terms of x.(b) Find the profit if 50 caps are produced and sold.
In 2017, the population of India was about 1.28 × 109, which was 40,000 times the population of Monaco. What was the population of Monaco?
Write each expression using only positive exponents. Assume that all variables represent nonzero real numbers.2-3
The number of twin births in the United States during the years 2005 through 2014 can be modeled by the polynomial functionwhere x = 5 represents 2005, x = 6 represents 2006, and so on. Use this function to approximate the number of twin births (to the nearest whole number as needed) in each given
The cost in dollars to produce x t-shirts is C(x) = 2.5x + 50. The revenue in dollars from sales of x t-shirts is R(x) = 10.99x.(a) Write and simplify a function P that gives profit in terms of x.(b) Find the profit if 100 t-shirts are produced and sold.
Combine like terms.2k + 3k2 + 5k2 - 7
Graph each polynomial function. Give the domain and range. f(x) = 3x
Write each expression using only positive exponents. Assume that all variables represent nonzero real numbers.9-1
Graph each polynomial function. Give the domain and range. f(x) = -4x
Find each product. (6x) (6 + x)
Combine like terms. 4x2 + 2x - 6x2 - 6
In 2017, the population of Costa Rica was approximately 4.93 × 106. The population density was 96.6 people per square kilometer.(a) Write the population density in scientific notation.(b) To the nearest square kilometer, what is the area of Costa Rica?
Write each expression using only positive exponents. Assume that all variables represent nonzero real numbers.4-1
Let ƒ(x) = 2x + 3 and g(x) = 5x2 - 3x + 2. Find each of the following. (a) (f + g)(x) (b) (f- g)(x) (c) (f+g)(-1) (d) (f-8)(-1)
A student multiplied incorrectly as follows.(x - 9)(x + 9) = x2 + 81Give the correct product.
Give an example of a polynomial in the variable x that is of degree 5, is written in descending powers, and lacks a third degree term.
Find each product. (9 − 2)(9 + 2)
For the polynomial function ƒ(x) = -2x2 + 5x + 7, find each value. (a) ƒ(-2) (b) ƒ(3) (c) ƒ(0)
Graph each polynomial function. Give the domain and range. f(x) = 2x + 1
Combine like terms. n4 - 2n3 + n2 - 3n4 + n3
The speed of light is approximately 3 × 1010 cm per sec. How long will it take light to travel 9 × 1012 cm?
Find each product. (2p - 3)(2p + 3)
Graph each polynomial function. Give the domain and range. f(x) = -2x + 5
Combine like terms. 2q3 + 3q2 - 4q - q3 + 5q2
The average distance from Earth to the sun is 9.3 × 107 mi. How long would it take a rocket, traveling at 2.9 × 103 mph, to reach the sun? Round to the nearest thousand hours.
Graph each polynomial function. Give the domain and range. 9 - zx = (x)f
Combine like terms. 3ab2 + 7a2b - 5ab2 + 13a2b
Graph each polynomial function. Give the domain and range. f(x) = 3x + 2
A light-year is the distance that light travels in one year. Find the number of miles in a light-year if light travels 1.86 × 105 mi per sec.
A student added two polynomials vertically as follows.Give the correct sum. 4x² - 7x + 4 2x² + 3x - 5 6x4 4x² - 1 -
Calculators can express numbers in scientific notation. The displays often use notation such asSimilarly, 2.5E-3 represents 2.5 × 10-3. They can also perform operations with numbers entered in scientific notation. Predict the result the calculator will give for each screen. (Use the customary
Find each product. (3x − 8) (3x + 8)
Write each expression using only positive exponents. Assume that all variables represent nonzero real numbers.4x-2
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