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mathematics
college algebra graphs and models

Questions and Answers of College Algebra Graphs And Models

Find a general term a, for the geometric sequence. a₂= 6, a4 = 24, r> 0
One type of lawn fertilizer consists of a mixture of nitrogen, N. phosphorus, P, and potassium, K. An 80-pound sample contains 8 more pounds of nitrogen and phosphorus than of potassium. There is
The following graph shows a weight and height chart. The weight w is listed in pounds and the height h in inches. The shaded area is a recommended region.Explain why inequalities are more appropriate
Calculate both det A and det A-1 for several different matrices. Compare the determinants. Try to generalize your results.
Three cards are drawn from a deck without replacement. Find the probability that the three cards are an ace, king, and queen in that order.
A test consists of two parts. In the first part a student must choose three of five essay questions, and in the second part a student must choose four of five essay questions. How many ways can the
What values are possible for a probability? Interpret different probabilities and give examples.
Discuss the difference between dependent and independent events. How are their probabilities calculated?
Explain what counting is, as presented in this section.
Use rational exponents to write each expression. Va²-B²
Use the power rules to simplify the expression. Use positive exponents to write your answer. (5-¹)³
Simplify. Leave numerators and denominators in factored form when appropriate. 2x² + x 3x + 9 + X x +3
Find the circumference and area of the circle. Approximate each value to the nearest tenth when appropriate. r = 5z
Find the volume and surface area of a rectangular box with length L, width W, and height H. L = 62, W = 5z, H = 7z
Factor the expression completely. 25x²-5x - 6
Approximate, to the nearest tenth, the volume and surface area (side only) of the cone satisfying the given conditions, where r is the radius and h is the height. r = 5 centimeters, h = 6 centimeters
Subtract the polynomials. (5x46x³ + x² + 5) = (x³ + 11x² + 9x − 3) -
Use the product rule to simplify. 2-334-3-2-25
Use the rule of 70 to estimate the annual percent rate of growth for a city whose population P doubles in time T. P= 1,500,000, T = 35 years
An account pays 4.25% interest compounded continuously. To the nearest hundredth of a percent, what is the effective interest rate?
Factor the expression completely. 60r¹ + 230r³ - 401²
Write a formula for f(t) that models the situation and then answer the question.A sample of 5 million insects decreases in number by 2/3 every 10 days. In millions, how many insects are there after
Approximate, to the nearest tenth, the volume and surface area (side only) of the cone satisfying the given conditions, where r is the radius and h is the height. r = 8 inches, h = 30 inches
Factor the expression completely. 30m +3m³ - 9m²
Simplify. Leave numerators and denominators in factored form when appropriate. x² + 3x + 2 2x² + 7x + 3 ²2²-4 2x²-x-1
Factor the expression completely. 244 + 8³-80²
Simplify. Leave numerators and denominators in factored form when appropriate. x²-3x + 2 xả + 5x76 x²+x-2 x² + 2x - 3
Use the rule of 70 to estimate the annual percent rate of growth for a city whose population P doubles in time T. P = 20,000, T = 10 years
Use the power rules to simplify the expression. Use positive exponents to write your answer. (-4²)³
Approximate, to the nearest tenth, the volume and surface area (side only) of the cone satisfying the given conditions, where r is the radius and h is the height. r = 24 inches, h = 3 feet
Use the rule of 70 to estimate the annual percent rate of growth for a city whose population P doubles in time T. P = 750,000, T = 70 years
Use the power rules to simplify the expression. Use positive exponents to write your answer. (1)
Factor the expression completely. 4m3 + 10m² - 6т
Simplify. Leave numerators and denominators in factored form when appropriate. 2x2 + x − 1 6x² + x - 2 을 2x2 + 5x + 3 6.x + 13.x + 6
Approximate, to the nearest tenth, the volume and surface area (side only) of the cone satisfying the given conditions, where r is the radius and h is the height. r = 100 centimeters, h = 1.3 meters
Use the rule of 70 to estimate the annual percent rate of growth for a city whose population P doubles in time T. P= 80,000, T = 50 years
Use the power rules to simplify the expression. Use positive exponents to write your answer. (x²)4
Simplify. Leave numerators and denominators in factored form when appropriate. 2-4 x²+x=2 1
Approximate, to the nearest tenth, the volume and surface area (side only) of the cone satisfying the given conditions, where r is the radius and h is the height. Three times r equals h, and r = 2.4
Factor the expression completely, if possible. x² - 25
Use the power rules to simplify the expression. Use positive exponents to write your answer. (4y²)3
A population of bacteria increases by 6% every 8 hours. By what percentage does the sample increase in 3 hours?
Write the expression in radical notation. Then evaluate the expression when the result is an integer.13-3/5
Write the expression in radical notation. Then evaluate the expression when the result is an integer.16-3/4
Write the expression in radical notation. Then evaluate the expression when the result is an integer.813/4
Write the expression in radical notation. Then evaluate the expression when the result is an integer.8-1/3
If possible, simplify the expression by hand. If you cannot, approximate the answer to the nearest hundredth. Variables represent any real number. ترو
Factor the expression completely, if possible. (x - 1)² - 16
Use rules of exponents to simplify the expression. Use positive exponents to write your answer. 5r²st-3 25rs 21²
Use rules of exponents to simplify the expression. Use positive exponents to write your answer. 20a-²b 4a-²b-1
Factor the expression completely, if possible. 4 - 리
Use rational exponents to write each expression.
Find the least common multiple. -- - 1, - + - + 2z+1
Find the least common multiple. x²-4, x² - 4x + 4
Find the least common multiple. x² - 6x + 9, x² = 5x + 6
Factor the expression completely, if possible. 9rª + 2514
Use rules of exponents to simplify the expression. Use positive exponents to write your answer. 36r-¹(st)² 9(rs)²1-1
Factor the expression completely, if possible. 25 - x¹²
Find the LCD for the rational expressions. 1 x + 1'7
Factor the expression completely, if possible. (y + 2)² - 1
Use rules of exponents to simplify the expression. Use positive exponents to write your answer. (3x²y-3)-²
Evaluate the expression. Approximate the answer to the nearest hundredth when appropriate.161/2
Find the LCD for the rational expressions. 1 2x1' 1 x + 1
Evaluate the expression. Approximate the answer to the nearest hundredth when appropriate.81/3
Evaluate the expression. Approximate the answer to the nearest hundredth when appropriate.2561/4
Use rules of exponents to simplify the expression. Use positive exponents to write your answer. (b²)-1 (b
Evaluate the expression. Approximate the answer to the nearest hundredth when appropriate.321/5
Use rules of exponents to simplify the expression. Use positive exponents to write your answer. -21 41
Evaluate the expression. Approximate the answer to the nearest hundredth when appropriate.(-32)1/5
Use rules of exponents to simplify the expression. Use positive exponents to write your answer. (-2x-3y-2)³
Factor the expression completely, if possible. 4- (= + 3)²
Find the LCD for the rational expressions. 1 x + 1 4x² 16
Use rules of exponents to simplify the expression. Use positive exponents to write your answer. (z-P) z-(P)
Factor the expression completely, if possible. 64-(1-3)²
Find the LCD for the rational expressions. 4 1 2x²¹ 2x + 2
Evaluate the expression. Approximate the answer to the nearest hundredth when appropriate. 53/5-51/10
Use rules of exponents to simplify the expression. Use positive exponents to write your answer. 3r 21 3
Find the LCD for the rational expressions. 3 x 2' 2x + 12x - 4
Simplify. Leave numerators and denominators in factored form when appropriate. 4 x + 1 + 3 x + 1
Find the LCD for the rational expressions. 1 1 x²x² - 4x²2x
Evaluate the expression. Approximate the answer to the nearest hundredth when appropriate. 21/2.22/3
Factor the expression completely, if possible. 2²-169
Multiply the expressions. (x-7)(x + 7)
Use rules of exponents to simplify the expression. Use positive exponents to write your answer. (-m²n-¹)-² (mn)-1
Evaluate the expression. Approximate the answer to the nearest hundredth when appropriate.(-8)4/3
Evaluate the expression. Approximate the answer to the nearest hundredth when appropriate.(-1)3/5
Multiply the expressions. (x + 2y)(x-2y)
Simplify. Leave numerators and denominators in factored form when appropriate. 3 x-5 1 x-3 2x x-5
Simplify. Leave numerators and denominators in factored form when appropriate. x² + 2x + 1 x-2 x+1 2x - 4
Approximate, to the nearest tenth, the volume and surface area (side only) of the cone satisfying the given conditions, where r is the radius and h is the height. Twice h equals r, and h = 3
Write the expression in radical notation. Then evaluate the expression when the result is an integer.23-1/2
A population of bacteria decreases by 40% every 4 hours. By what percentage does the sample decrease in 7 hours?
Simplify. Leave numerators and denominators in factored form when appropriate. 2x x-2 x+2 X 7x ²-4
Factor the expression completely, if possible. 4x² - 25
Use the power rules to simplify the expression. Use positive exponents to write your answer. (-2xy-³)-4
Use rational exponents to write each expression. Vi
Factor the expression completely, if possible. 642²-25=4
Factor the expression completely, if possible. 36 – 2
Simplify. Leave numerators and denominators in factored form when appropriate. ἐν X Τ όλο 5x
Use rational exponents to write each expression. Vi

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