- In Problems 101–114, expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. √4x + 3. 1 2√x - 5 +
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 14 + 6x - x²
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. x6 + 2x³ + 1
- In Problems 97–106, simplify each expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, assume that the base is not 0. 2 4x-² (yz)-¹ 2³x4y
- In Problems 101–114, expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. (x + 1)¹/3 + x + ²(x (x +
- In Problems 97–106, simplify each expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, assume that the base is not 0. 5x-2 бу-2 -3
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. x7 - x5
- In Problems 101–114, expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. 3/8x + 1 33√(x -
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. X5 sx - 8x
- In Problems 91 – 106, find the quotient and the remainder. Check your work by verifying that (Quotient )(Divisor ) + Remainder = Dividendx3 − a3 divided by x − a
- During summer months in 2022, Omaha Public Power District charged residential customers a monthly service charge of $30, plus a usage charge of 10.25 ¢ per kilowatt hour (kWh). If one customer’s
- In Problems 91 – 106, find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividendx5 − a5 divided by x − a
- The village of Oak Lawn charges homeowners $24.99 per quarter-year for sewer usage, plus $0.40 per 1000 gallons of water metered. In 2022, one homeowner’s quarterly bill ranged from a high of
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 16x² + 24x + 9
- In Problems 101–114, expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. √1 + x - x 1 2√1 + x 1 +
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 9x² 24x + 16
- In Problems 101–114, expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. 2.x 2√x² + 1 √x²
- In Problems 101–114, expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. (x + 4)¹/² - 2x(x +
- In your Economics 101 class, you have scores of 68, 82, 87, and 89 on the first four of five tests. To get a grade of B, the average of the first five test scores must be greater than or equal to 80
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 5+ 16x16x²
- The markup over dealer’s cost of a new car ranges from 12% to 18%. If the sticker price is $18,000, over what range will the dealer’s cost vary?
- In Problems 101–114, expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. (9-x²) ¹/2 + x²
- A standard intelligence test has an average score of 100. According to statistical theory, of the people who take the test, the 2.5% with the highest scores will have scores of more than 1.96σ above
- If a < b, Show thatThe numberis called the arithmetic mean of a and b. a < a+b 2 < b.
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 5 + 11x 16x²
- In Problems 101–114, expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. x2 (x² - 1)¹/2 - (x² - 1)
- Refer to Problem 111. Show that the arithmetic mean of a and b is equidistant from a and b.Data from problem 111If a The numberis called the arithmetic mean of a and b. a < a+b 2 < b.
- In Problems 101–114, expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. t + z.x 2/1-(t + 2x) z* = 2/1
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 4y² - 16y + 15
- Do you prefer adding two polynomials using the horizontal method or the vertical method? Write a brief position paper defending your choice.
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 9y² + 9y - 4
- In Problems 101–114, expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. 1 +
- For food products to be labeled “light,” the U.S. Food and Drug Administration requires that the altered product must contain either at least one-third fewer calories than the regular product or
- In Problems 101–114, expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. x = -1, x 1 z (1-x²)
- In Problems 107–118, find the value of each expression if x = 2 and y = −1. -2 X
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 18x²9x4
- Refer to Problems 111 and 113. Show that the geometric mean of a and b is less than the arithmetic mean of a and b.Data from problem 113 Data from problem 111 a < a+b 2 < b.
- In Problems 107–118, find the value of each expression if x = 2 and y = −1. 2 (√x)²
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 4 14x² 8x4 -
- In Problems 107–118, find the value of each expression if x = 2 and y = −1. √x² + y² 2 2
- In Problems 115–124, expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. ·3(x- (x + 1)¹/2 x ≥ −1 2 (x + 1)³/2 + x.
- If 0 < a < b, show that a < √ab < b. The number √ab is called the geometric mean of a and b.
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. x(x + 3) 6(x + 3)
- In Problems 115–124, expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. 4 (x² + 4)4/³ + x · 3/(x² + 4)¹/³ . 2x
- For 0 < a < b, let h be defined byShow that a < h < b. The number h is called the harmonic mean of a and b. 1/12 = 1/2 ( ²12 + ² ) h b
- Refer to Problems 111, 113, and 115. Show that the harmonic mean of a and b equals the geometric mean squared divided by the arithmetic mean.Data from problem 111is called the arithmetic mean of a
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 5(3x7) + x(3x - 7)
- In Problems 115–124, expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. 6x1/2(x² + x) - 8x3/2 - 8x¹/2 x ≥ 0
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. (x + 2)² = 5(x + 2)
- In Problems 115–124, expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. 6x1/2 (2x + 3) + x³/2.8 x ≥ 0
- In Problems 115–124, expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. 3(x² + 4)4/3+x. 4(x² + 4)¹/³ - 2x
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. (x - 1)²2(x - 1)
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. (3x - 2)3 - 27
- In Problems 107–118, find the value of each expression if x = 2 and y = −1.xy
- The inequality x2 + 1 < −5 has no real solution. Explain why.
- In Problems 107–118, find the value of each expression if x = 2 and y = −1.yx
- In Problems 115–124, expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. 2x (3x + 4)4/³ + x².4(3x + 4)¹/³
- How would you explain to a fellow student the underlying reason for the multiplication properties for inequalities ? That is, the sense (direction) of an inequality remains the same if each side is
- Find the value of the expression 4x3 + 3x2 − x + 2 if x = 1. What is the value if x = 2?
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. (5x+1)3 − 1
- In Problems 115–124, expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. 4(3x + 5)¹/³(2x + 3) ³/2 + 3(3x + 5) 4/3 (2x
- What is the value of (666)4 -? 4 (222)
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 3(x² + 10x + 25) - 4(x + 5)
- In Problems 115–124, expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. 6(6x + 1)¹/3 (4x − 3)³/2 + 6(6x + 1)4/³
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. x³ + 2x² x - 2
- In Problems 115–124, expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. 8x¹/3 - 4x-2/3 0 x
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. 7(x² - 6x + 9) + 5(x-3)
- In Problems 115–124, expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. 3 3.x-1/2 + x1/2 0
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. x3 - 3x² - x + 3
- What is the value of (0.1)3 (20)3?
- In Problems 123–130, use a calculator to evaluate each expression. Round your answer to three decimal places.(8.2)6
- In Problems 123–130, use a calculator to evaluate each expression. Round your answer to three decimal places.(3.7)5
- In Problems 123–130, use a calculator to evaluate each expression. Round your answer to three decimal places.(6.1)−3
- In Problems 125–132, use a calculator to approximate each radical. Round your answer to two decimal places. √2
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. I- x + √x - DX
- In Problems 125–132, use a calculator to approximate each radical. Round your answer to two decimal places. √√7 L
- In Problems 79–126, factor each polynomial completely. If the polynomial cannot be factored, say it is prime. I + x + √x + x
- In Problems 125–132, use a calculator to approximate each radical. Round your answer to two decimal places. درا
- In Problems 125–132, use a calculator to approximate each radical. Round your answer to two decimal places. 2+√3 3-√5
- In Problems 125–132, use a calculator to approximate each radical. Round your answer to two decimal places. 5
- In Problems 125–132, use a calculator to approximate each radical. Round your answer to two decimal places. √5-2 √2 + 4
- A Shell station stores its gasoline in underground tanks that are right circular cylinders lying on their sides. See the illustration. The volume V of gasoline in the tank (in gallons) is given by
- In Problems 123–130, use a calculator to evaluate each expression. Round your answer to three decimal places.(2.2)−5
- In Problems 125–132, use a calculator to approximate each radical. Round your answer to two decimal places. 2√3 - 34 √2
- In Problems 125–132, use a calculator to approximate each radical. Round your answer to two decimal places. 33/√/5 -√2 √3
- The final velocity v of an object in feet per second (ft/ sec) after it slides down a frictionless inclined plane of height h feet iswhere v0 is the initial velocity (in ft/sec) of the object.(a)
- In Problems 127–136, expressions that occur in calculus are given. Factor each expression completely. 4(x + 5)³(x - 1)² + (x + 5)4.2(x - 1)
- In Problems 123–130, use a calculator to evaluate each expression. Round your answer to three decimal places.(−2.8)6
- In Problems 127–136, expressions that occur in calculus are given. Factor each expression completely. 2(3x - 5) 3(2x + 1)³ + (3x - 5)² - 3(2x + 1)².2
- The period T, in seconds, of a pendulum of length l, in feet, may be approximated using the formulaIn Problems 135 and 136, express your answer both as a square root and as a decimal.Find the period
- In Problems 123–130, use a calculator to evaluate each expression. Round your answer to three decimal places.−(2.8)6
- In Problems 127–136, expressions that occur in calculus are given. Factor each expression completely. (4x - 3)² + x2(4x - 3). 4 2
- In Problems 127–136, expressions that occur in calculus are given. Factor each expression completely. 3(4x + 5)².4(5x + 1)² + (4x + 5)³.2(5x + 1).5
- In Problems 123–130, use a calculator to evaluate each expression. Round your answer to three decimal places.(−8.11)−4
- In Problems 127–136, expressions that occur in calculus are given. Factor each expression completely. 3x²(3x + 4)2 + x3 . 2(3x + 4). 3
- The period T, in seconds, of a pendulum of length l, in feet, may be approximated using the formulaIn Problems 135 and 136, express your answer both as a square root and as a decimal.Find the period
- In Problems 123–130, use a calculator to evaluate each expression. Round your answer to three decimal places.−(8.11)−4
- In Problems 19–32, find the distance d between the points P1 and P2. УА 2FP2 = (2, 1) P1 = (0,0) -2 -1 2 x X
- Choose the expression that equals the distance between two points (x1, y1) and (x2, y2). (a) √√(x₂-x₂)² + (y₁ - y₁)² (b) √√(x₂ + x₁)² = (y₂ + ₁)² (c) √√(x₂-x₁)² =
- In Problems 19–32, find the distance d between the points P1 and P2. P2 = (-2, 1) -2 УА 2 -1 _P1 = (0, 0) 2 x