Assignment 3

# Assignment 3 - Assignment 3 This is take home assignment 3...

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Unformatted text preview: Assignment 3 This is take home assignment 3. Be sure to mark all your answers on a scantron form 882 and turn in by due date as stated on your syllabus. You do not have to print this assignment and turn it in to me; all I need is the scantron. It is important that you get minimal assistance on this assignment and understand how to work these problems on your own as the in-class portion of the exam will involve similar types of questions but with closed notes. 1. The slope of the line passing through the points (-4, 5) and (3, —2) is ? (a) 1 (b) -1 (0) 3 (d) -3 (e) -7 2. Determine an equation of the vertical line that passes through the point (3, -6). (a) 3y = —6x (b)x = —6 (c)y = —6 (d)y = 3 (e)x = 3 3. Determine an equation of the line that has slope :3”; and y—intercept 7. (a)y = :5ix+7 (b)y = fsix—7 (c)y = ;54-x-7 (d)y = -‘5£x+7 (e)Noneofthese 4.Which of the following pairs of numbers indicate slopes of two perpendicular lines ? 4 4 _4_ mi _4_ .19. .4. -32 (a) 1—9379. (b) 19, 19 (c) 19, 4 (d) 19, 4 (e)None ofthese 5. Find the equation of the line that is horizontal and passing through the point (1, 3). (a)x=1 (my: 3 (c)y= -—;,— <d>y= -_%,-x+5 (ex = —1 6. Find the equation of the line passing through the point (—2, 10) with slope 3. (a)y = 3x-16 (b)y = -§-x+ % (c)y = 3x+16 (d)y = 3x+4 (e)None ofthese 7. Find the slope of the line : 5x = ~4y — 9 (a) % (b) —% (c) 14 (d) —% (e) 31; 8. Supposel) = —-5 and ﬂ—Z) = 4. Find ﬁx) if f is a linear function. (amx) = -;—x — % (bmx) = %x + i} (cmx) = ~3x — 2 (d)f(x) = ~3x + 5 (e)f(x) = g-x + ~§- 9. Suppose f is a linear function with slope —2 and such that ﬂ3) = 4. Find ﬁx). (a)f(x) = —2x+ 10 (b)f(x) = 32ix+10 (c)f(x) = ~2x+ ~11? (d)f(x) = ~2x~10 (e)f(x) = ~10x+ 2 10. Suppose the cost of producing 5 units of a product is \$11 and the cost of 6 units is \$18. If cost C is linearly related to Q, ﬁnd a linear equation relation C and Q. (a) C = %q + 17% (b) C = 7q—~24 (c) C = 2g + 1 (d) C = lgiq—z (e) None ofthe above 11. Suppose that consumers will demand 100 units of a product when the price is \$10, and 120 units when the price is \$8. per unit. Assuming that price p and quantity q are linearly related, ﬁnd the price at which 90 units are demanded. I (a) \$7 (b) \$9 (0) \$13 ((1) \$12 ’ (6) \$11 12. Which of the following functions is not a Quadratic ? (a) 7x(x + 5) (b) 22” (c) %—x2 + 9 (d) x2 —2 (e) 14x2 x 13. Find the maximum value for the function: ﬁx) = —x2 — 2x + 7. (a)7 (b)9 (0)8 ((1)10 (e)11 14. Find the Vertex for the following: ﬁx) = —-3x2 + 12x + 4 (3) (4,20) (13) (--2a 32) (C) (—224) (d) (2: 4) (6) (2,16) 15. Find the x-intercept(s) and the y-intercept for the following: ﬁx) = ~3x2 + 11x - 10 (a) X—intercept:(—5~,2), y-intercept:(0,—10) (b) x-intercepts:N0ne, y-intercept:(0,—-10) (c) x-intercept:(-§-, 0), y-intercept:(2, 0) (d) x-intercepts:(-§—, 0), (2, 0) y—intercept:(0,—10) (e) x—intercepts:(0, —§-), (0, 2) y—intercept:(—10, 0) 16. From the graph determine the Range of the function. (a) y 2 5 (b) y 2 0 (c) y S 0 (d) y S 5 (e) all reals 17. The projected population P of a city is given by P =6000(1.25)’/2°, where t is the number of years after 1995. Find the projected population in 2005. (a) 2794.0 (b) 3750.0 (0) 5. 625 x 107 ((1) 6708.2 (e) None of the above 18. Evaluate e439 (a)11.6614. (b) 0.4563 (c)—3.3201 (d) 80.6404 (e) 72.9665 19. Evaluate e75 r (a) ——16275. (b) —-.301 19 (0) —3.3201 (d).30119 (e) 6.1442 x 10~7 20. The probability P that a telephone operator will receive exactly x calls during a certain time period is 9:13" . Find the Probability that the operator will receive exactly 4 calls. given by P = (a) 1.0082 (b) . 16803 (c) 67. 789 (d) —67. 789 (e) 2. 561 l x 10‘5 21. Graphy = 3". ...
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## This note was uploaded on 06/11/2008 for the course MATH 1324 taught by Professor Alkhaz during the Spring '08 term at Tarrant County.

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Assignment 3 - Assignment 3 This is take home assignment 3...

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