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mathematics
precalculus

Questions and Answers of Precalculus

In Problems 11 – 54, simplify each expression. Assume that all variables are positive when they appear. √8x3 3√50x
In Problems 37 – 54, perform the indicated operation and simplify the result. Leave your answer in factored form. 2x - 3 x - 1 2x + 1 x + 1
In Problems 45–60, determine whether f is continuous at c. f(x) = x² - x² + 6x 6x c = 0
In Problems 43 – 54, factor each polynomial.x2 − 17x + 16
In Problems 11 – 68, solve each equation. 31-2x - 1 = 0
In Problems 43–52, find the limit as x approaches c of the average rate of change of each function from c to x. c = 1; f(x) = 1 x2
In Problems 41–58, fill in the blank(s) to form a correct inequality statement. If 3x ≤ 12, then x 4.
In Problems 11 – 54, simplify each expression. Assume that all variables are positive when they appear. 3x/9y + 4/25у
In Problems 51–58, evaluate each expression if x = −2 and y = 3.x + 2y
In Problems 45–60, determine whether f is continuous at c. f(x) = x³ + 3x x² – 3x 2 - 1 if x = 0 if x = 0 c=0
In Problems 43 – 54, factor each polynomial.x2 − 7x − 8
In Problems 41–58, fill in the blank(s) to form a correct inequality statement. If-1⁄x ≤ 3, then x -6.
In Problems 11 – 54, simplify each expression. Assume that all variables are positive when they appear. 3/16x4y 3x3/2xy + 53√-2xy4
In Problems 11 – 68, solve each equation. √15 - 2x 2x = x
In Problems 37 – 54, perform the indicated operation and simplify the result. Leave your answer in factored form. X x² - 4 x
In Problems 45–60, determine whether f is continuous at c. f(x) = = x² - 6x x² + 6x -2 if x = 0 if x = = 0 c=0
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(x − 4)(x + 2)
In Problems 37 – 54, perform the indicated operation and simplify the result. Leave your answer in factored form. x X 1 + X x² + 1
In Problems 51–58, evaluate each expression if x = −2 and y = 3.3x + y
In Problems 43 – 54, factor each polynomial.x2 − 2x − 8
In Problems 11 – 68, solve each equation. √12 - x = x
In Problems 49–58, perform the indicated operations and express your answer in the form a + bi. √-18
In Problems 11 – 54, simplify each expression. Assume that all variables are positive when they appear. 8xy-√√25x²y2 + 3√/8x³y³ 3,3
In Problems 51–58, evaluate each expression if x = −2 and y = 3.5xy + 2
In Problems 43 – 54, factor each polynomial.x2 + 7x − 8
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(x + 4)(x − 2)
In Problems 51–58, evaluate each expression if x = −2 and y = 3.−2x + xy
In Problems 43 – 54, factor each polynomial.x2 + 2x − 8
A 30.5-ounce can of Hills Bros.® coffee requires 58.9π square inches of aluminum. If its height is 6.4 inches, what is its radius? The surface area S of a closed right circular cylinder is S =
In Problems 11 – 68, solve each equation. 2+√122x = x
In Problems 55–62, find the LCM of the given polynomials.x2 − x − 12, x2 − 8x + 16
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(x − 5)(x − 1)
In Problems 45–60, determine whether f is continuous at c. f(x) = x + 3x x 3x 2 -1 if x = 0 if x = 0 C c = 0
In Problems 11 – 68, solve each equation. √3x + 1 = x I + XEN + ε E
In Problems 49–58, perform the indicated operations and express your answer in the form a + bi. √-200
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(x − 3)(x − 2)
In Problems 51–58, evaluate each expression if x = −2 and y = 3. 2x x - y
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. 1
In Problems 55–62, find the LCM of the given polynomials.x2 − 4, x2 − x − 2
In Problems 45–60, determine whether f is continuous at c. f(x) = x² - 6x x² + 6x -1 if x = 0 if x = 0 c = 0
In Problems 55–60, factor by grouping.2x2 + 4x + 3x + 6
In Problems 49–58, perform the indicated operations and express your answer in the form a + bi. √-45
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. 2
In Problems 51–58, evaluate each expression if x = −2 and y = 3. x + y x - y
In Problems 55–60, factor by grouping.3x2 − 3x + 2x − 2
In Problems 45–60, determine whether f is continuous at c. f(x) = x3 x2 2 3 x + 1 1 if x < 1 if x if x = 1, c = 1 > 1
In Problems 11 – 68, solve each equation. √2x + 3√√x + 1 = 1
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(2x + 3)(x − 2)
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. 疗 √5
In Problems 51–58, evaluate each expression if x = −2 and y = 3. 3x + 2y 2 + у
In Problems 55–62, find the LCM of the given polynomials.x3 − x, x2 − x
In Problems 45–60, determine whether f is continuous at c. f(x) = x² - 2x x - 2 2 4 x - 1 if x < 2 if x = 2, c = 2 if x > 2
In Problems 55–60, factor by grouping.2x2 − 4x + x − 2
In Problems 11 – 68, solve each equation. √3x + 7 + √√√x + 2 = 1
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. √3
In Problems 49–58, perform the indicated operations and express your answer in the form a + bi. √(4 + 3i)(3i 4) -
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(2x − 4)(3x + 1)
In Problems 45–60, determine whether f is continuous at c. f(x) = 2ex 2 x³ + 2x² x2 if x < 0 if x = 0, c = 0 if x > 0
In Problems 51–58, evaluate each expression if x = −2 and y = 3. 2x - 3 y
In Problems 55–62, find the LCM of the given polynomials.3x2 − 27, 2x2 − x − 15
In Problems 11 – 68, solve each equation. √3x + 1 √√√x - 1 = 2
In Problems 55–68, rationalize the denominator of each expression. Assume that all variables are positive when they appear. √3 5-√2
In Problems 55–60, factor by grouping.3x2 + 6x − x − 2
In Problems 49 – 66, multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(−2x + 3)(x − 4)
In Problems 55–62, find the LCM of the given polynomials.4x3 − 4x2 + x, 2x3 − x2 , x3
Without solving, explain what is wrong with the following mixture problem: How many liters of 25% ethanol should be added to 20 liters of 48% ethanol to obtain a solution of 58% ethanol? Now go
In Problems 59–62, z = 3 − 4i and w = 8 + 3i. Write each expression in the standard form a + bi.z + z̅
In Problems 59–68, find the value of each expression if x = 3 and y = −2. [x + yl
Problems 75–84. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.
Problems 75–84. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as
Problems 75–84. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as
Problems 75–84. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as
Problems 75–84. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as
Solve the each equation Graph f(x) = 3x - 2 3 if x = 2 if x = 2
In Problems 1–6, find each limit. lim(-x² + 3x - 5) x-3
In Problems 55–60, factor by grouping.18x2 + 27x + 12x + 18
In Problems 1 – 11, find the limit. lim(3x22x + 1) x-2
Find the least common multiple of the denominators of x² 3 - 4 and x2 5 3x + 2
For the functionfind f (0) and f (2). f(x) = x2 x + 1 5x if x ≤ 0 if 0 < x < 2, if 2 < x < 5
Problems 75–84. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as
Problems 75–84. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as
Rationalize the numerator of the quotient: √x - √5 x-5
Find the average rate of change of f (x) = x2 from 2 to x.
In Problems 1–6, find each limit. 1x - 21 |x lim x-2+ 3x - 6
Solve the each equation (−3)2 = ____; −32 = _____ .
The formula for the area A of a rectangle of length l and width w is ______.
The polynomial 3x4 − 2x3 + 13x2 − 5 is of degree ______.The leading coefficient is _________.
Solve the each equation Σ(2k + 1) = k=1
Solve the each equation Graph the inequality x < 1.
Solve the each equation √16 =_______ ; √(−4)2 =_______
The solution set of the equation (x − 3)(3x + 5) = 0 is______.
If a polynomial cannot be written as the product of two other polynomials (excluding 1 and −1), then the polynomial is said to be _____________.
What are the domain and range of f (x) = ln x?
In Problems 1 – 11, find the limit. lim (x² + 1)² x--2
In Problems 1–16, graph each equation using the following viewing windows:y = −x + 2 (a) Xmin=-5 Ymin =–4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin=-10 Ymin = _8 Xmax = 10 Ymax = 8 Xscl =
In Problems 1–6, find each limit. lim √73x x--6
Ifexists, it equals the slope of the_____ ______ to the graph of f at the point (c, f (c)). lim X-C f(x) = f(c) x - C
Solve the each equation (x2 − 4)( x2 + 4) = _______.
The limit of the product of two functions equals the________ of their limits.
If each side of an inequality is multiplied by a(n)________ number, then the direction of the inequality symbol is reversed.

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