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mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
Factor completely.2k4 - 5k2 - 3
Solve each equation. 6x2 - 36x = 0
Use the function ƒ(x) = 2x + 7 to find each of the following.The y-intercept of its graph
Solve each equation.5m(m - 1) = 2(1 - m)
The following exercises are of mixed variety. Factor each polynomial.kq - 9q + kr - 9r
Factor completely. p²(p + 2)² + p(p + 2)² - 6(p + 2)²
Solve each system. 3x-2y = -7 2x+3y = 17
Solve each equation. 3x2 - 27x = 0
Solve each equation.ar + 2 = 3r - 6t for r
Factor each trinomial. k2 - 11k + 30
Factor completely. 3(r + 5)² - 11(r + 5) − 4
Solve each system. y = 5x + 6 - 10x = -2y - 12
Factor each polynomial. x2 + 10x + 25
The following exercises are of mixed variety. Factor each polynomial.56k3 - 875
The area of the rectangle shown is 40 in.2. Find the length and the width of the rectangle. 2x + 3 x + 7 The area is 40 in.².
Solve each equation. 4p2 - 16 = 0
Factor each trinomial.m2 - 11m + 60
Factor each polynomial. 4z2 + 4 zw + w2
The following exercises are of mixed variety. Factor each polynomial.16z3x2 - 32z2x
Solve each system. 2x+3y - 6z = 5 8x - y + 3z = 7 3x +4y-3z =7
A ball is projected upward from ground level. After t seconds, its height in feet is modeled by the functionAfter how many seconds will it reach a height of 128 ft? f(t) = 16² +96t. -
Factor completely.24x8 - 126x6 + 81x4
Solve each equation. 9z2 - 81 = 0
Factor each trinomial.p2 - 12p - 27
Factor each polynomial. 9y2 + 6yz + z2
The following exercises are of mixed variety. Factor each polynomial.9r2 + 100
Factor completely.30y9 - 155y6 - 55y3
Factor completely.16x2 - 25
Solve each equation.-3x2 + 27 = 0
Perform the indicated operations.(7x + 3y)2
Factor each trinomial. a2 - 2ab - 35b2
Factor each polynomial.16m2 - 8m + 1 - n2
The following exercises are of mixed variety. Factor each polynomial. (r + 4)(3r - 1) − (r + 4) (r + 2)
Perform the indicated operations. 2x² + x³ + 7x² + 2x + 6 x² + 2
Perform the indicated operations. (3x³ + 4x² −7) − (2x³ - 8x² + 3x) -
Factor completely.9t2 - 49
Solve each equation. -2x2 + 8 = 0
Factor each trinomial. z2 + 8zw + 15w2
Factor each polynomial. 25c2 - 20c + 4 - d2
The following exercises are of mixed variety. Factor each polynomial.9 - a2 + 2ab - b2
Factor completely.36m2 - 25n2
Solve each equation.-x2 = 9 - 6x
Factor each trinomial. a2 - 9ab + 18b2
Factor each polynomial. 4r2 - 12r + 9 - s2
The following exercises are of mixed variety. Factor each polynomial.625 - x4
Factor completely.x2 + 14x + 49
Solve each equation. -x2 - 8x = 16
Perform the indicated operations.(a) Write 0.0004638 using scientific notation.(b) Write 5.66 × 105 in standard notation.
Factor each trinomial.k2 - 11hk + 28h2
Factor each polynomial. 9a2 - 24a + 16 - b2
The following exercises are of mixed variety. Factor each polynomial.2m2 - mn - 15n2
Factor completely.9k2 - 12k + 4
Solve each equation. 9x2 + 24x + 16 = 0
Factor each trinomial. x2y2 + 12xy + 18
Factor. 16w2 + 50wz - 21z2
Factor each polynomial. x2 - y2 + 2y - 1
The following exercises are of mixed variety. Factor each polynomial.p3 + 1
Factor each trinomial. p2q2 - 5pq - 18
Factor completely.r3 + 27
Factor. 4x2 - 4x + 1 - y2
Solve each equation. 4x2 - 20x + 25 = 0
The following exercises are of mixed variety. Factor each polynomial. - (t + 8)(4t + 1) − (t+8)(3t-11)
Factor each polynomial. -k2 - h2 + 2kh + 4
Factor each polynomial. 98m2 + 84mn + 18n 2
Factor completely.125x3 - 1
A factory can have no more than 200 workers on a shift, but must have at least 100 and must manufacture at least 3000 units at minimum cost. How many workers should be on a shift in order to produce the required units at minimal cost? Let x represent the number of workers and y represent the
A factory can have no more than 200 workers on a shift, but must have at least 100 and must manufacture at least 3000 units at minimum cost. How many workers should be on a shift in order to produce the required units at minimal cost? Let x represent the number of workers and y represent the
For ƒ(x) = x2, find ƒ(-2), ƒ(0), and ƒ(2). Use the results to write three ordered pairs that belong to ƒ.
For ƒ(x) = x, find ƒ(0), ƒ(1), and ƒ(2). Use the results to write three ordered pairs that belong to ƒ.
Write 9.1 × 10-7 in standard notation.
Let ƒ(x) = 3x + 5 and g(x) = x2 + 2. Find each of the following. (a) (fog)(-2) (b) (fog)(x) (c) (gof)(x)
Apply the product rule for exponents, if possible.134 • 138
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). f(x) = -2x + 5
Simplify each expression. Assume that all variables represent nonzero real numbers. - (1) -ح
Write each number in scientific notation.0.830
Give the numerical coefficient and the degree of each term.x4
Find each product. 5y(-6y + 1)
For the function ƒ(x) = x2 -1, a student claimed that ƒ(-1) = -2. This is incorrect.Find the correct value of ƒ(-1).
Perform the indicated operations and then simplify. Assume that all variables represent nonzero real numbers. 3w-24 -6wz-5 -2
Simplify each expression. Assume that all variables represent nonzero real numbers. ح (-)
A student incorrectly simplifiedGive the correct answer. 65 3² as 23.
Graph each polynomial function. Give the domain and range. f(x) = x³ + 3
Write each number in scientific notation.1600
Give the numerical coefficient and the degree of each term.-27k3
For each polynomial function, find (a) ƒ(-1), (b) ƒ(2), and (c) ƒ(0). f(x) = 6x-4
Find each product. 3x(−2x + 5)
Perform the indicated operations and then simplify. Assume that all variables represent nonzero real numbers. (6)-5(2y-3)-4
Simplify each expression. Assume that all variables represent nonzero real numbers.-30 + 30
Write each number in scientific notation. 530
Give the numerical coefficient and the degree of each term.-15p2
Graph each polynomial function. Give the domain and range. f(x) = 2x² + 3
A friend incorrectly simplifiedGive the correct answer. 45 42 as 167.
Let ƒ(x) = -2x2 + 5x - 6 and g(x) = 7x - 3. Find each of the following. (a) f(4) (b) (f + g)(x) (c) (f- g)(x) (d) (f- g)(-2)
Find each product. 5m³n^(-4m²n5)
Perform the indicated operations and then simplify. Assume that all variables represent nonzero real numbers. (2x - 9)²
Determine whether each statement is true or false. If false, correct the righthand side of the statement. 3-1 3
Simplify each expression. Assume that all variables represent nonzero real numbers.2-1 + 4-1
Give the numerical coefficient and the degree of each term.3r
Evaluate. Express the answer in both scientific notation and standard notation. 2,500,000 X 0.00003 0.05 X 5,000,000
The term “Big Data,” originally coined by NASA researchers, includes all data streaming from sources such as cell phones, tablets, satellites, Amazon, Google, Facebook, and Twitter. Write each “Big Data” number in scientific notation.1,000,000,000,000,000,000 bytes (an exabyte)
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