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mathematics
precalculus

Questions and Answers of Precalculus

In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. x(9x 5) (3x - 1)²
In Problems 85–96, simplify each expression.(−4)2
In Problems 77–92, simplify each expression. 27 x!! 8 2/3
In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 4x² 8x + 32
In Problems 67 – 90, multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. (x - 2)³
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. VI x + 1 3 V 314
In Problems 77–92, simplify each expression. 0010 -3/2 (8)
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 113 V X +1 2 VI 2/3
In Problems 67 – 90, multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. (x + 1)³
In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 3x² - 12x + 15
In Problems 67 – 90, multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. (2x + 1)³
In Problems 77–92, simplify each expression. 8 1-2/3 27
In Problems 85–96, simplify each expression.−42
In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. x² + 4x + 16
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. (4x + 2)¹ < 0
In Problems 85–96, simplify each expression.4−2
In Problems 77–92, simplify each expression. (-1000)-¹/3
In Problems 67 – 90, multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. (3x - 2)3 X
In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. x² + 12x + 36
In Problems 85–96, simplify each expression.−4−2
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. (2x - 1)¹> 0 1)-1
In Problems 77–92, simplify each expression. -25-1/2
In Problems 85–96, simplify each expression.3−6 · 34
In Problems 85–96, simplify each expression.4−2 · 43
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2 0 < XIN x V 3
DeriveData from table 5 r = ep 1+ e sin from Table 5.
DeriveData from table 5 r = 1 ep e sin from Table 5.
In an AC circuit with two parallel pathways, the total impedance Z, in ohms, satisfies the formulawhere Z1 is the impedance of the first pathway and Z2 is the impedance of the second pathway.
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. -3 √5 + 4
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(−2x − 3y)(3x + 2y)
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. √2 √7 + 2
In Problems 11 – 68, solve each equation. 3x - 5 - √x + 7 = 2
In Problems 55–62, find the LCM of the given polynomials.x3 − x, x3 − 2x2 + x, x3 − 1
In Problems 45–60, determine whether f is continuous at c. f(x) = = 3 cosx 3 x³ + 3x² x² if x < 0 if x = 0, c = 0 if x > 0
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(−x − 2)(−2x − 4)
In Problems 55–60, factor by grouping.45x3 − 30x2 + 15x2 − 10x
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set.x − 6 < 1
In Problems 59–62, z = 3 − 4i and w = 8 + 3i. Write each expression in the standard form a + bi.w − w̅
In Problems 55–62, find the LCM of the given polynomials.x − 3, x2 + 3x, x3 − 9x
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(−3x − 1)(x + 1)
In Problems 11 – 68, solve each equation. (3x + 1)¹/2 = 4
In Problems 61–72, factor each polynomial.3x2 + 4x + 1
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 1-2x ≤ 3
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. 2 - √5 2 + 3√5
In Problems 59–62, z = 3 − 4i and w = 8 + 3i. Write each expression in the standard form a + bi.zz̅
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(−2x − 3)(3 − x)
In Problems 59–62, z = 3 − 4i and w = 8 + 3i. Write each expression in the standard form a + bi. Z - W
In Problems 11 – 68, solve each equation. (3x - 5)¹/2 = 2
In Problems 55–62, find the LCM of the given polynomials.x2 + 4x + 4, x3 + 2x2 , (x + 2)3
In Problems 61–72, factor each polynomial.2x2 + 3x + 1
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 23x5
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. √√3-1 2√3+3
In Problems 61 – 72, find the numbers at which f is continuous. At which numbers is f discontinuous?f (x) = 3x2 + x
In Problems 63–74, perform the indicated operations and simplify the result. Leave your answer in factored form. x2 X 7x + 6 x x²2x24
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(x − 2y)(x + y)
In Problems 11 – 68, solve each equation. (5x – 2)1/3 = 2
In Problems 61–72, factor each polynomial.2z2 + 5z + 3
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 3x - 7 > 2 V
In Problems 59–68, find the value of each expression if x = 3 and y = −2. |x| X
The impedance Z, in ohms, of a circuit element is defined as the ratio of the phasor voltage V, in volts, across the element to the phasor current I, in amperes, through the elements. That is, Z =
In Problems 61 – 72, find the numbers at which f is continuous. At which numbers is f discontinuous?f (x) = −3x3 + 7
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. 5 √2-1
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(2x + 3y)(x − y)
In Problems 63–74, perform the indicated operations and simplify the result. Leave your answer in factored form. x - 3 x + 1 x2 + 5x 24
In Problems 11 – 68, solve each equation. (2x + 1)¹/3 = -1
In Problems 61–72, factor each polynomial.6z2 + 5z + 1
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2x + 5 > 1 V
In Problems 59–68, find the value of each expression if x = 3 and y = −2. Ту У
In Problems 63–74, perform the indicated operations and simplify the result. Leave your answer in factored form. 4x x² - 4 2 x²+x-6
In Problems 61 – 72, find the numbers at which f is continuous. At which numbers is f discontinuous? f(x): = 2x + 5 x² - 4 2 X
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. √x + h + √x = h √x + h = √x - h
Use z = a + bi and w = c + di to show that Z. W = Z.W.
In Problems 59–68, find the value of each expression if x = 3 and y = −2. 31x1 + 2|y|
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -3(1-x) < 12
In Problems 11 – 68, solve each equation. x + 1 x² + 2x x + 4 x² + x 2 -3 x² + 3x + 2
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. √x + h = √x √x +h+√x
In Problems 63–74, perform the indicated operations and simplify the result. Leave your answer in factored form. 2 6 (x + 2)²(x-1) (x+2)(x-1)²
In Problems 67 – 90, multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. (x - 1)(x + 1)
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -2(x + 3) < 8
In Problems 59–68, find the value of each expression if x = 3 and y = −2. ||4x|-|5y||
In Problems 61–72, factor each polynomial.3x2 − 10x + 8
In Problems 61 – 72, find the numbers at which f is continuous. At which numbers is f discontinuous?f (x) = 4 csc x
In Problems 67 – 90, multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. (2x + 3)(2x - 3)
In Problems 63–74, perform the indicated operations and simplify the result. Leave your answer in factored form. x + 4 x²-x-2 2x + 3 x² + 2x 8
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 43(1x) ≤ 3
In Problems 69–76, rationalize the numerator of each expression. Assume that all variables are positive when they appear. √11 + 1 2
In Problems 61–72, factor each polynomial.12x4 + 56x3 + 32x2
In Problems 63–74, perform the indicated operations and simplify the result. Leave your answer in factored form. 2x - 3 x² + 8x + 7 x 2 2 (x + 1)²
In Problems 67 – 90, multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. (3x + 2)(3x-2)
In Problems 61 – 72, find the numbers at which f is continuous. At which numbers is f discontinuous? f(x) || 2 X 4 x2-9
In Problems 61–72, factor each polynomial.21x2 − 98x + 56
In Problems 59–94, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 84(2-x) ≤ - 2x
In Problems 69–76, rationalize the numerator of each expression. Assume that all variables are positive when they appear. 5 - √43 3
In Problems 61 – 72, find the numbers at which f is continuous. At which numbers is f discontinuous? f(x) = x - 3 In x
In Problems 77 – 82, determine where each rational function R is undefined. Determine whether an asymptote or a hole appears in the graph of R at such numbers. R(x) = x³ + 2x² + x x4 + x³ + 2x +
In Problems 67 – 90, multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. (x+4)²
In Problems 77–92, simplify each expression. 163/4
In Problems 67 – 90, multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. (3x + y)(3x - y)
In Problems 75–86, perform the indicated operations and simplify the result. Leave your answer in factored form. x 2 x - 1 + x + 2 x + 1 x+1 2x3 X
On an exam, Jane solved the equation √2x + 3 − x = 0 and wrote that the solution set was {−1, 3}. Jane received 3 out of 5 points for the problem. Jane asks you why she received 3 out of 5

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