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mathematics
college algebra
College Algebra 12th edition Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels - Solutions
The graph shows the number of farms in the United States for selected years since 1950. We can use the formula Number of farms = 0.001259x2 - 5.039x + 5044 to get a good approximation of the number of farms for these years by substituting the year for x and evaluating the polynomial. For example,
The graph shows the number of farms in the United States for selected years since 1950. We can use the formula Number of farms = 0.001259x2 - 5.039x + 5044 to get a good approximation of the number of farms for these years by substituting the year for x and evaluating the polynomial. For example,
Refer to the formula and the discussion in Exercise 107.(a) Use V = 1/3 h(a2 + ab + b2) to determine a formula for the volume of a pyramid with square base of length b and height h by letting a = 0.(b) The Great Pyramid in Egypt had a square base of length 756 ft and a height of 481 ft. Find the
Solve the problem.An amazing formula from ancient mathematics was used by the Egyptians to find the volume of the frustum of a square pyramid, as shown in the figure. Its volume is given bywhere b is the length of the base, a is the length of the top, and h is the height.(a) When the Great Pyramid
Solve the problem.Use the figure to geometrically support the distributive property. Write a short paragraph explaining this process. х У
Solve the problem.Consider the figure, which is a square divided into two squares and two rectangles.(a) The length of each side of the largest square is x + y. Use the formula for the area of a square to write the area of the largest square as a power.(b) Use the formulas for the area of a square
Perform the division. k4 – 4k2 + 2k + 5 k2 + 1
Perform each division. x4 + 5x? + 5x + 27 x2 + 3
Perform the division. 10x3 + 11x – 2x + 3 5x + 3
Perform the division. бт3 + 7m? — 4m + 2 Зт + 2
Perform the division. 3x3 – 2x + 5 х — 3
Perform the division. 4x3 – 3x2 + 1 х — 2
Perform the division. -8r's – 12r?s² + 20rs3 -4rs
Perform the division. |-4x7 – 14x6 + 10x4 – 14x? -2x2
Perform the indicated operations.-z3(9 - z) + 4z(2 + 3z)
Perform the indicated operations.-y(y2 - 4) + 6y2(2y - 3)
Perform the indicated operations.m(5m - 2) + 9(5 - m)
Perform the indicated operations.p(4p - 6) + 2(3p - 8)
Perform the indicated operations.2(3r2 + 4r + 2) - 3(-r2 + 4r - 5)
Perform the indicated operations.-3(4q2 - 3q + 2) + 2(-q2 + q - 4)
Perform the indicated operations.(3p + 5)2
Perform the indicated operations.(7m + 2n)(7m - 2n)
Perform the indicated operations.(x4 - 3x2 + 2) - (-2x4 + x2 - 3)
Perform the indicated operations.(p3 - 4p2 + p) - (3p2 + 2p + 7)
Find the product.(r + 3)4
Find the product.(q - 2)4
Find the product.(z - 3)3
Find the product.(y + 2)3
Find the product.[(2m + 7) - n]2
Find the product.[(3a + b) - 1]2
Find the product.[(9r - s) + 2][(9r - s) - 2]
Find the product.[(3q + 52 - p][(3q + 5) + p]
Find the product.[(4y - 1) + z]2
Find the product.[(2p - 3) + q]2
Find the product.(2z4 - 3y)2
Find the product.(5r - 3t2)2
Find the product.(a - 6b)2
Find the product.(4m + 2n)2
Find the product.(2m3 + n)(2m3 - n)
Find the product.(4x2 - 5y)(4x2 + 5y)
Find the product.(8s - 3t)(8s + 3t)
Find the product.(2m + 3)(2m - 3)
Find the product.(t + 4)(t + 4)(t - 4)(t - 4)
Find the product.(x + 1)(x + 1)(x - 1)(x - 1)
Find the product.(3y - 5)(3y + 5)(9y2 - 25)
Find the product.(2x + 3)(2x - 3)(4x2 - 9)
Find the product.(r - 3s + t)(2r - s + t)
Find the product.(m - n + k)(m + 2n - 3k)
Find the product.(3w + 2)(-w2 + 4w - 3)
Find the product.(2z - 1)(-z2 + 3z - 4)
Find the product.2b3(b2 - 4b + 3)
Find the product.4x2(3x3 + 2x2 - 5x + 1)
Find the product. Э6 m3 2m Зт + 2 т 4
Find the product. Зx 5х + 3 3
Find the product.(5m - 6)(3m + 4)
Find each product.(4r - 1)(7r + 2)
Add or subtract, as indicated.-(8x3 + x - 3) + (2x3 + x2) - (4x2 + 3x - 1)
Add or subtract, as indicated.(6m4 - 3m2 + m) - (2m3 + 5m2 + 4m) + (m2 - m)
Add or subtract, as indicated.3(8p2 - 5p) - 5(3p2 - 2p + 4)
Add or subtract, as indicated.2(12y2 - 8y + 6) - 4(3y2 - 4y + 2)
Add or subtract, as indicated.(3m3 - 3m2 + 4) + (-2m3 - m2 + 6)
Add or subtract, as indicated.(5x2 - 4x + 7) + (-4x2 + 3x - 5)
Identify the expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.9
Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.5
Identify the expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. 3 15
Identify the expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. 3 1 + 9 x2 8'
Identify the expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.-16x5y7 + 12x3y8 - 4xy9 + 18x10
Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.15a2b3 + 12a3b8 - 13b5 + 12b6
Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.-9t4 + 8t3 - 7
Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.-7z5 - 2z3 + 1
Identify the expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.-9y + 5y3
Identify the expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.6x + 3x4
Identify the expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.-4y5
Identify the expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.-5x11
Match the expression in Column I with its equivalent in Column II. П A. 0 (а) Зр° (b) —Зр° (c) (Зр)° (d) (-Зр)° B. 1 C. -1 D. 3 E. -3
Match the expression in Column I with its equivalent in Column II. п A. 0 (a) 60 B. 1 (b) -6° C. -1 (c) (-6)° (d) –(-6)° D. 6 E. -6
Simplify the expression. Assume all variables represent nonzero real numbers. (x³y5
Simplify the expression. Assume all variables represent nonzero real numbers.-(4m3n0)2
Simplify the expression. Assume all variables represent nonzero real numbers. -(*) (p²q³ p3
Simplify the expression. Assume all variables represent nonzero real numbers. -5n4 3 r2
Simplify the expression. Assume all variables represent nonzero real numbers. -4m²' tp?
Simplify the expression. Assume all variables represent nonzero real numbers. 2.
Simplify the expression. Assume all variables represent nonzero real numbers. ,2 00
Simplify the expression. Assume all variables represent nonzero real numbers.-(2x0y4)3
Simplify the expression. Assume all variables represent nonzero real numbers.(-2x5)5
Simplify the expression. Assume all variables represent nonzero real numbers.(-6x2)3
Simplify the expression. Assume all variables represent nonzero real numbers.(64)3
Simplify the expression. Assume all variables represent nonzero real numbers.(22)5
Simplify the expression. (35m*n) 2 mn²
Simplify the expression. (8m²n²) -тn
Simplify the expression.(-4xy3)(7x2y)
Simplify the expression.(5x2y)(-3x3y4)
Simplify the expression.(-8t3)(2t6)(-5t4)
Simplify the expression.(-3m4)(6m2)(-4m5)
Simplify the expression.42 · 48
Simplify the expression.93 · 95
Simplify the expression.a8 · a5 · a
Simplify the expression.n6 · n4 · n
Simplify the expression.(3y4)(-6y3)
Simplify the expression.(-4x5) (4x2)
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