Straighterline MAT099 Introduction Algebra Graded Exam 4 (New Version June 2024)

Question 1 Correct 4.16 points out of 4.16 Use the point-slope formula to write an equation of the line with the given slope that passes through the given point. Write your answer in slope-intercept form. slope = 12; through (– 1, 4) Select one: A. y = 12x + 16 B. y = −3x + 12 C. y = 12x + 4 D. y = 12x − 1 Question 2 Correct 4.17 points out of 4.17 Fill in the blank. The point (−6, 1) is in the quadrant. Select one: A. fourth B. third C. first D. second Straighterline MAT099 Introduction Algebra Graded Exam 4 (New Version June 2024) We are a team of experts offering class attendance for all Straighterline, Online ATI, HESI, NCLEX, Portage Learning, Sophia etc courses (including final proctored exams!!). 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! MAT099_MH_V3 | Topic 14: Functions and Interpreting Graphs Started on State Finished Completed on Time taken 1 hour 28 mins Points 120.84/125.00 Grade 120.83 out of 125.00 (97%)Solve the problem. Let g(x) = 2x − 2. Find g(2 3)and simplify. Select one: A. 2 3 B. −2 C. 6 D. − 2 3 Question 3 Correct 4.17 points out of 4.17Plot the ordered pairs. A : (2, 4); B : (−3, 0); C : (0, 3) Select one: A. B. C. Question 4 Correct 4.17 points out of 4.17Question 5 Correct 4.17 points out of 4.17 Identify the domain and range of the relation, and determine whether the relation is a function. {(−8, −14), (−6, 4), (1, 13), (7, 15)} Select one: A. Domain: {−14, 4, 13, 15}; Range: {−8, −6, 1, 7}; Function B. Domain: {−8, −6, 1, 7}; Range: {−14, 4, 13, 15}; Not a function C. Domain: {−8, −6, 1, 7}; Range: {−14, 4, 13, 15}; Function D. Domain: {−14, 4, 13, 15}; Range: {−8, −6, 1, 7}; Not a function Question 6 Correct 4.17 points out of 4.17 Solve the problem. The steepness (slope) of a roof on a house in a certain town cannot exceed 7 , also 12 known as a 7 : 12 pitch. The first number refers to the rise of the roof. The second number refers to how far you must go (the run) to attain that rise. Does a roof with a 11 : 23 pitch meet the town's building code? Select one: A. no B. yes D.Question 8 Correct 4.17 points out of 4.17 Identify the domain and range of the relation, and determine whether the relation is a function. {(−4, 4), (0, 1), (17, −1), (0, −4)} Select one: A. Domain: {−4, −1, 1, 4}; Range: {−4, 0, 17}; Function B. Domain: {−4, 0, 17}; Range: {−4, −1, 1, 4}; Not a function C. Domain: {−4, −1, 1, 4}; Range: {−4, 0, 17}; Not a function D. Domain: {−4, 0, 0, 17}; Range: {−4, −1, 1, 4}; Function Question 9 Correct 4.17 points out of 4.17 Write the standard form for the equation of the line with the given slope that passes through the given point. through (1, −6) and (8, 4) Select one: A. 7x − 10y = 16 B. 7x − 10y = 67 C. 10x + 7y = −32 D. 10x − 7y = 52 Fill in the blank. A horizontal line has slope. Select one: A. positive B. undefined C. negative D. zero Question 7 Correct 4.17 points out of 4.17Graph the equation by finding the intercepts and at least one other point. x = 1 Select one: A. B. Question 10 Correct 4.17 points out of 4.17Question 11 Correct 4.17 points out of 4.17 Solve the problem. Find the dimensions of a rectangular window that has a perimeter of 260 in. if the width is 34 in. more than the height of the window Select one: A. width: 130 in.; height: 96 in. B. width: 147 in.; height: 113 in. C. width: 164 in.; height: 96 in. D. width: 82 in.; height: 48 in. C. D.Question 13 Correct 4.17 points out of 4.17 Solve the system using the elimination method. x y 5 − 6 = x y 2 + 4 1 30 = 3 4 Select one: A. (0, 3) B. Infinite number of solutions of the form{ C. ∅ D. (1, 1) (x, y)∣ x ∣ 5 y − 6 = 30 1 } Solve the system by substitution. 2x + 8y = 39 −4x − 4y = −12 Select one: A.(− 5 11 2, 2 ) B. There is no solution. C.(5 , − 13) 4 4 D.(1 , − 1) 2 2 Question 12 Incorrect 0.00 points out of 4.17Question 15 Correct 4.17 points out of 4.17 Solve the system by substitution. ( y = 2x - 6 7x + 3y = -5 ) Select one: A. ( bigg(displaystylefrac{1}{13}, - frac{76}{13}bigg) ) B. ((-4, 1)) C. ( emptyset ) D. ((1, -4)) Question 16 Correct 4.17 points out of 4.17 Without graphing, determine how many solutions the system has. ( y = displaystylefrac{3}{7}x - 4 6x - 7y = 28 ) Select one: A. One solution B. Cannot tell C. No solution D. Infinite number of solutions Solve the problem. The sum of two positive numbers is 95. Their difference is 21. Find the numbers. Select one: A. 53 and 42 B. 62 and 33 C. 55 and 34 D. (58) and (37) Question 14 Correct 4.17 points out of 4.17Question 18 Correct 4.17 points out of 4.17 Solve the problem. A dairy keeps two kinds of milk on hand, skim milk that has (0.2%) butterfat and whole milk that has (3.4%) butter fat. How many gallons of each type of milk does a company need to produce (160) gallons of (1%) milk for a grocery store? Select one: A. (115) gallons of skim; (45) gallons of whole B. (130) gallons of skim; (30) gallons of whole C. (120) gallons of skim; (40) gallons of whole D. (125) gallons of skim; (35) gallons of whole Solve the system by graphing. (begin{align} 4x-5y & = 5 x+y& = 8 end{align} ) Select one: A. ((35, - 27)) B. ((0, -1)) C. ((5, 3)) D. ((3, 5)) Question 17 Correct 4.17 points out of 4.17Question 20 Correct 4.17 points out of 4.17 Determine if the given point is a solution to the system. ( (5, 4) quadquadbegin{align}7x-4y&=19 3x+8y&=45 end{align} ) Select one: A. No B. Yes Solve the system by substitution. ( displaystylefrac{2}{5}x + frac{3}{5}y = -4 displaystylefrac{1}{3}x + 2y = - frac{28}{3} ) Select one: A. ( bigglbrace{bigg(displaystylefrac{2}{3}, - frac{5}{3}bigg)} biggrbrace ) B. ( lbrace{(-4, -4)}rbrace ) C. ( bigg lbrace{bigg(displaystylefrac{7}{5}, -3bigg)}biggrbrace ) D. There is no solution. Question 19 Correct 4.17 points out of 4.17Question 22 Correct 4.17 points out of 4.17 Answer the question. If the discriminant of a quadratic equation is negative, what does that tell you about the solutions of the equation? Select one: A. The equation has two rational solutions B. The equation has two irrational solutions C. The equation has no real number solutions D. The equation has one rational solution Recall that the graph of (f(x)=ax^2+bx+c ) opens downward if (a<0). Therefore, the vertex is the highest point on the parabola so that the maximum value of the function is the (y)-coordinate of vertex. The (x)-coordinate of the vertex is the value at which the maximum occurs. An object is fired upward from a height of (12) feet so that its height (h) (in feet) (t) seconds after being fired is given by (h(t)=-16t^2+160t+12). a) How long does it take the object to reach its maximum height? b) What is the maximum height attained by the object? Select one: A. a) (5) sec b) (412) ft B. a) (10) sec b) (412) ft C. a) (5) sec b) (12) ft D. a) (10) sec b) (12) ft Question 21 Correct 4.17 points out of 4.17Question 24 Correct 4.17 points out of 4.17 Solve the equation. ( n(n+3)=-8 ) Select one: A. ({1,; 8}) B. ( bigg{displaystyle frac{-3- sqrt{23} }{2},; frac{-3+ sqrt{23} }{2}bigg} ) C. No real solution D. ( lbrace{-3-sqrt{23},;-3+sqrt{23}}rbrace ) Question 25 Correct 4.17 points out of 4.17 Divide. Write the quotient in the form ( a + bi ). ( displaystylefrac{-4i}{7 - 5i} ) Select one: A. ( displaystylefrac{10}{37} + frac{14}{37}i ) B. ( displaystylefrac{5}{6} - frac{7}{6}i ) C. ( displaystylefrac{5}{6} + frac{7}{6}i ) D. ( displaystylefrac{10}{37} - frac{14}{37}i ) Perform the indicated operations. ( -2i - (7 - 3i) + (7 + i) ) Select one: A. ( -4i ) B. ( 14 + 2i ) C. ( 2i ) D. ( 14 - 4i ) Question 23 Correct 4.17 points out of 4.17Question 27 Correct 4.17 points out of 4.17 Solve the equation. ( s^2=16 ) Select one: A. ( lbrace{pm4i } rbrace ) B. ( lbrace{4i } rbrace ) C. ( lbrace{pm4} rbrace ) D. ( lbrace{4} rbrace ) Question 28 Correct 4.17 points out of 4.17 Answer the question. The surface area, (S), of a cube is given by (S=6L^2), where (L) is the length of one of its sides. Find the length of a side of a cube with a surface area of (726;text{in}^2). Select one: A. (11;text{in.}) B. (121;text{in.}) C. (60.5;text{in.}) D. (11sqrt{6};text{in.}) Multiply and simplify. ( 4(2 - 9i) ) Select one: A. ( -28i ) B. ( 8 - 9i ) C. ( 8 - 36i ) D. ( 8 + 36i ) Question 26 Correct 4.17 points out of 4.17Question 30 Correct 4.17 points out of 4.17 Solve the equation. ( (4p+3)^2-5=75 ) Select one: A. ( bigg{displaystyle frac{-3-4 sqrt{5} }{4},;frac{-3+4 sqrt{5} }{4}bigg} ) B. ( bigg{displaystyle frac{3-4 sqrt{5} }{4},;frac{3+4 sqrt{5} }{4}bigg} ) C. ( bigg{displaystyle frac{3}{4}- frac{4 sqrt{5}}{4} i,;frac{3}{4}+ frac{4 sqrt{5}}{4} ibigg} ) D. ( bigg{displaystyle -frac{3}{4}- frac{4 sqrt{5}}{4} i,;-frac{3}{4}+ frac{4 sqrt{5}} {4} ibigg} ) Quiz navigation 1 2 3 4 5 6 7 8 9 10 26 27 28 29 30 Show one page at a time Finish review Identify the domain and range of the function. ( g(x)=(x-4)^2-1 ) Select one: A. Domain: ((-infty,;infty )); Range: ([-1,; infty)) B. Domain: ((-infty,;infty )); Range: ((-infty,;infty )) C. Domain: ([4,; infty)); Range: ((-infty,;infty )) D. Domain: ([4,; infty)); Range: ((-infty,;-1]) Question 29 Correct 4.17 points out of 4.17© 2023 StraighterLine. All rights reserved