Straighterline MAT201 PRECALCULUS GRADED EXAM 1 (New Version August 2024)

Question 1 Correct 6.25 points out of 6.25 Question 2 Correct 6.25 points out of 6.25 Multiply the polynomials by using the distributive property. Select one: a. b. c. d. Factor completely. Select one: a. b. c. d. (8t7u3)(3t4u5) 24t3u−2 11t11u8 24t11u8 24t28u15 9x4 + 21x3 − 9x2 − 21x −3x(3x + 7)(x + 1)(x − 1) 3x(3x + 7)(x + 1)(x − 1) 3x(3x − 7)(x + 1)(x − 1) 3x(3x + 7)(x + 1)2 Straighterline MAT201 PRECALCULUS GRADED EXAM 1 (New Version August 2024) We are a team of experts offering course/class attendance (including final proctored exams!!) for all Straighterline, Online ATI, HESI, NCLEX, Portage Learning, Sophia, Nursing, Business etc courses. We also write essays, discussion posts, research papers and school assignments. Should you need any of these services, Contact us via email: or : +1 (540) 753-5914. Guaranteed Passing!Question 3 Correct 6.25 points out of 6.25 Question 4 Correct 6.25 points out of 6.25 Question 5 Correct 6.25 points out of 6.25 Express the set in interval notation. Select one: a. b. c. d. Solve the problem. A tool rental store charges a flat fee of to rent a chain saw, and for each day, including the first. Write an equation that expresses the cost of renting this saw if it is rented for days. Select one: a. b. c. d. Solve the equation. Select one: a. b. c. d. −3 [−3, ∞] (−3, ∞) (−∞, −3) [−3, ∞) $6.50 $3.75 y x y = 3.75(x + 6.50) y = 6.50x + 3.75 y = 3.75x − 6.50 y = 3.75x + 6.50 (m + 3)(m − 4) = −6 {2, −3} {−3, 4} {−2, 3} {3, −4} CopycatQuestion 6 Correct 6.25 points out of 6.25 Question 7 Correct 6.25 points out of 6.25 Make an appropriate substitution and solve the equation. Select one: a. b. c. d. Perform the indicated operation. Write the answer in the form . Select one: a. b. c. d. 9t − 16√t = 0 {0, 3 4 } {0, 81 } 256 {0, 4 3 } {0, 256 } 81 a + bi 8 + 9i 3 − i 15 − i 8 35 8 15 + i 8 35 8 3 − i 2 7 2 3 + i 2 7 2 CopycatQuestion 8 Correct 6.25 points out of 6.25 Question 9 Correct 6.25 points out of 6.25 Use the slope-intercept form to write an equation of the line that passes through the given point and has the given slope. Use function notation where . Select one: a. b. c. d. Solve the problem. In , a special mixed-nut blend at a store cost per lb, and in the blend cost per lb. Let represent the cost of a pound of the mixed-nut blend years after . Use a linear equation model to estimate the cost of a pound of the mixed-nut blend in . Select one: a. b. c. d. y = f(x) (−2.5, 4.3); m = −5.2 f(x) = −8.7x − 5.2 f(x) = −5.2x + 8.7 f(x) = −5.2x + 4.3 f(x) = −5.2x − 8.7 2005 $1.35 2010 $1.83 y x 2005 2007 $1.59 $1.68 $1.64 $1.54 CopycatQuestion 10 Correct 6.25 points out of 6.25 The slope of a line is given. Find the slope of a line perpendicular to the given line. Select one: a. b. c. d. m = 14 5 14 5 − 5 14 5 141− 4 5 CopycatQuestion 11 Correct 6.25 points out of 6.25 Use translations to graph the given function. Select one: a. b. c. g(x) = 1 + 3 x − 1 CopycatQuestion 12 Correct 6.25 points out of 6.25 Question 13 Correct 6.25 points out of 6.25 d. Solve the problem. The fixed and variable costs to produce an item are given along with the price at which an item is sold. Determine the break-even point. Fixed cost: Variable cost per items: Price at which the item is sold: Select one: a. items b. items c. items d. items Determine the center and radius of the circle. Select one: a. Center: ; Radius: b. Center: ; Radius: c. Center: ; Radius: d. Center: ; Radius: $2093 $34.50 $80.00 61 18 26 46 (x − 4)2 + (y − 8)2 = 9 (−4, −8) 9 (4, 8) 3 (4, 8) 9 (−4, −8) 3 CopycatQuestion 14 Correct 6.25 points out of 6.25 Graph the function by using transformations of the graph of . Select one: a. b. c. y = 1 2x m(x) = 1 + 1 x2 CopycatQuestion 15 Correct 6.25 points out of 6.25 d. Solve the problem. A fireworks mortar is launched straight upward from a pool deck platform off the ground at an initial velocity of . The height of the mortar can be modeled by where is the height in meters and is the time in seconds after launch. What is the maximum height? Round to the nearest meter. Select one: a. b. c. d. 4 m 61 m/sec h(t) = −4.9t2 + 61t + 4 h(t) t 6 m 194 m 237 m 4 m CopycatQuestion 16 Incorrect 0.00 points out of 6.25 Question 17 Correct 6.25 points out of 6.25 Use the factor theorem to determine if the given binomial is a factor of . a. b. Select one: a. a. No b. Yes b. a. Yes b. No c. a. No b. No d. a. Yes b. Yes Solve the inequality. Write the solution set in interval notation. Select one: a. b. c. d. f(x) f(x) = x3 + 343 x − 7 x + 7 (x + 7)(x + 11) ≤ −4 (−∞, ∞) {−9} [−11, −7] { } CopycatQuestion 18 Correct 6.25 points out of 6.25 Question 19 Incorrect 0.00 points out of 6.25 Find the zeros and their multiplicities. Consider using Descartes' rule of signs and the upper and lower bound theorem to limit your search for rational zeros. Select one: a. , and (each with multiplicity ) b. , and (each with multiplicity ) c. , and (each with multiplicity ) d. , and (each with multiplicity ) Solve the inequality. Write the solution set in interval notation. Select one: a. b. c. d. f(x) = 20x3 − 47x2 + 11x + 6 , − 1 4 3 5 −2 1 − , 1 4 3 5 2 1 1, −3 −2 1 −1, 3 2 1 7x ≥ 7 x + 2 ( − ∞, 0] ( − ∞, 0) ( − ∞, −2) ( − ∞, −2] Copycat© 2023 StraighterLine. All rights reserved Question 20 Correct 6.25 points out of 6.25 Write a variation model using as the constant of variation. The variable is directly proportional to the fifth power of and inversely proportional to the fifth power of . Select one: a. b. c. d. Quiz navigation Show one page at a time Finish review k n α z n = z5 kα5 n = kα5 z5 n = kz5 α5 n = z5 k α5 CopycatMAT201_MH_V5 | Topic 4: Polynomial and Rational Functions Question 1 Incorrect 0.00 points out of 6.25 Started on Thursday, May 30, 2024, 4:25 PM State Finished Completed on Thursday, May 30, 2024, 5:16 PM Time taken 51 mins Grade 43.75 out of 125.00 (35%) Rationalize the numerator of the expression and simplify. Select one: a. b. c. d. √−3−(x−−+−−h−) − √−3−x h 3h √−3−x−+−−3−h + √−3−x 6x + 3h h√−3−x−+−−3−h + √−3−x 3 √−3−x−+−−3−h + √−3−x 3 √−6−x−+−−3−h My Account CopycatQuestion 2 Incorrect 0.00 points out of 6.25 Question 3 Correct 6.25 points out of 6.25 Question 4 Correct 6.25 points out of 6.25 Factor the trinomial completely by using any method. Remember to look for a common factor first. Select one: a. b. c. d. Prime Write an absolute value inequality equivalent to the expression. "All real numbers whose distance from is at most " Select one: a. b. c. d. Solve the problem. A tool rental store charges a flat fee of to rent a chain saw, and for each day, including the first. Use a linear equation to find the cost of renting the saw for one week. Select one: a. b. c. d. 2w3 − 16w2x + 32wx2 2w(w − 4x)(w + 4x) 2w(w − 4x)2 2w2(1 − 4x)2 13 5 |y − 13| 5 |y − 13| 5 |y − 5| ≤ 13 |y − 13| ≤ 5 $8.50 $4.00 $12.50 $28.00 $36.50 $32.50 CopycatQuestion 5 Incorrect 0.00 points out of 6.25 Question 6 Correct 6.25 points out of 6.25 Solve the equation by using the quadratic formula. Select one: a. b. c. d. Solve and express your solution in simplified form. Select one: a. b. c. d. (3w − 2)(w − 1) = −3 { −5 − √−3−5 , } 6 −5 + √−3−5 6 { − 5 6 − √6−3−7 , 5 6 + √6−3−7 } { 5 6 − √6−3−5 i, 5 6 + √6−3−5 i} { − 1 3 , −2} x4 − 13x2 − 48 = 0 {16, 3i} {±4, ±i√3 –} {±4, ±√3 –} {16, 3} CopycatQuestion 7 Incorrect 0.00 points out of 6.25 Question 8 Incorrect 0.00 points out of 6.25 Simplify and write the result in standard form, . Select one: a. b. c. d. Write an equation of the line satisfying the given conditions. Write the answer in slopeintercept form. The line passes through the point and has a slope of . Select one: a. b. c. d. a + bi 14 − √−−−−1−2 2 7 − i√3 – 7 + 2i√3 – 7 − 2i√3 – 7 + i√3 – (2, 13) 4 y = 4x + 2 y = 4x + 13 y = −4x + 13 y = 4x + 5 CopycatQuestion 9 Correct 6.25 points out of 6.25 Question 10 Incorrect 0.00 points out of 6.25 Solve the problem. A bakery makes and sells pastries. The fixed monthly cost to the bakery is . The cost for labor, taxes, and ingredients for the pastries amounts to per pastry. The pastries sell for each. Write a linear profit function representing the profit for producing and selling pastries. Determine the break-even point for the bakery. Select one: a. pastries b. pastries c. pastries d. pastries Determine the domain and range of the function. Select one: a. Domain: ; Range: b. Domain: ; Range: c. Domain: ; Range: d. Domain: ; Range: $770 $0.90 $1.60 a. x b. a. P(x) = 0.7x − 770; b. 1100 a. P(x) = 0.7x + 770; b. 1100 a. P(x) = 1.60x − 770; b. 481 a. P(x) = 1.60x + 770; b. 481 (−∞, ∞) [2, ∞) [2, ∞) (−∞, ∞) (−∞, ∞) (−∞, 2] (−∞, 2] (−∞, ∞) CopycatQuestion 11 Correct 6.25 points out of 6.25 Use the graph of below to graph . Select one: a. b. y = f(x) y = f(−x) CopycatQuestion 12 Correct 6.25 points out of 6.25 c. d. Determine whether the graph of the equation is symmetric with respect to the -axis, - axis, origin, or none of these. Select one: a. -axis, -axis, and origin b. -axis c. -axis d. none of these x y y = − 5 x + 5 9 x y x y CopycatQuestion 13 Incorrect 0.00 points out of 6.25 Determine the solution set for the equation. Select one: a. b. c. d. (x + 4)2 + (y − 2)2 = 0 {(4, −2)} {(−4, 2)} {} {(16, 4)} CopycatQuestion 14 Incorrect 0.00 points out of 6.25 Graph the function by using a transformation of the graph of . Select one: a. b. c. y = 1 x f(x) = 1 x + 2 CopycatQuestion 15 Incorrect 0.00 points out of 6.25 d. Write the domain and range of the function in interval notation. Select one: a. Domain: Range: b. Domain: Range: c. Domain: Range: d. Domain : Range: q(x) = 2x2 − 12x + 2 (−∞, ∞) (−∞, −16] (−∞, ∞) [−16, ∞) [−16, ∞) (−∞, ∞) [0, ∞) (−∞, ∞) CopycatQuestion 16 Incorrect 0.00 points out of 6.25 Question 17 Incorrect 0.00 points out of 6.25 Question 18 Incorrect 0.00 points out of 6.25 Write a polynomial that meets the given conditions. Degree polynomial with integer coefficients with zeros and Select one: a. b. c. d. Solve the inequality. Write the solution set in interval notation. Select one: a. b. c. d. List the possible rational zeros. Select one: a. b. c. d. f(x) 3 −7i 4 5 f(x) = 25x3 − 75x2 + 296x − 112 f(x) = 25x3 − 5x2 − 264x + 112 f(x) = 5x3 − 4x2 − 245x + 196 f(x) = 5x3 − 4x2 + 245x − 196 −16y − 64 ≥ y2 (−∞, −8) ∪ (−8, ∞) {−8} { } (−∞, ∞) f(x) = x6 − 2x4 + 7x2 + 25 1, 5, 25 ±1, ± 1 , ± 5 1 25 −1, −5, −25 ±1, ±5, ±25 CopycatQuestion 19 Correct 6.25 points out of 6.25 Question 20 Incorrect 0.00 points out of 6.25 Solve the inequality. Write the solution set in interval notation. Select one: a. b. c. ( big(-2, 1 big) ) d. ( big(-1, 2 big) ) Solve the problem. The strength of a wooden beam varies jointly as the width of the beam and the square of the thickness of the beam, and inversely as the length of the beam. A beam that is ( 48, in ). long, ( 6, in ). wide, and ( 4, in ). thick can support a load of ( 1668, lb ). Find the maximum load that can be safely supported by a board that is ( 8, in ). wide, ( 120, in ). long, and ( 5, in ). thick. Select one: a. ( 1390, lb ) b. ( 1529, lb ) c. ( 1533, lb ) d. ( 1676, lb ) Quiz navigation Show one page at a time Finish review x + 1 ≤ 0 x − 2 ( − 2, 1] [ − 1, 2) Copycat© 2023 StraighterLine. All rights reserved Copycat