solution3A - 9A (NOTE: Be sure to bubble the answers-to...

Info iconThis preview shows pages 1–11. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
Background image of page 11
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 9A (NOTE: Be sure to bubble the answers-to questions 1 through 20 on your scantrom -Part L? points each In problems 1 through 5 indicate Whether each of the fellowing statements I is true or false. ' ‘ 1. A line perpendicular to the y—axis has slope 0. fly @True‘ ' pawn-MM“ do”; _ ,5; b. False l" ' _ magma; X 2. If y 2—53 then y. varies directly with :17. a. True b. False .3. f($£') : ——7:1: islan odd function. a. True lflwx) j “Weak? '1 “if” 7X} ’ “fir/x} 1). False I ' _ 4. If f = 2:2 and 9(33) : 513', then the domain of g is all real numbers. 41' at 3/ FR a. True isms domaln. .(‘M r 0) U {9 i 00) M is on its graph, then What is f (3)? V‘VMQE'WWJ z o1 _ 1 WM g” 6.. If the function f is symmetricnbowgt the y-axis and the point (—3, 1) b". m1 . M3). A) c. 3 d. —3 - -- I 7. The slope of the line through the points (2, 3) and (2, ~—3) is - - xi?) . @Hndefined ‘ “1% - ‘ . ' 01. —§ i'g- gig'f‘fi} 8. If f(;1:) 2 :52 —1,the_nf(3: — 1) equals _ a. f<x_1>1=-$2_2 - - WM) 3 {WE w! b. f(:c—_1):a;2 e r “‘3’ shawls; - '@.f($—l)éx2~2x 5% gamg’fi d.—f(a:— 1) 2:52—23:52 9. Which of the following graphs is / are'the graph of a function? only A'and Conly C. A and B only d. none of these we; Ham! fines “Jagst 'f 10. The domain of the function. v4 m a: + fl is wwb‘iaw" hegee‘ We; a. (-—oo,4] ® [01-4] 0. [4, d[— seems x g; if 4,- 0] PartII: 3' points each 11. Which of the following statements is / are-true? _ fix it"? A; The slope of the line With the equation 4— 2:1: 2 0 is 2. “gig?” E?’ $ $92—95 I :2 i w} is”? 3m; 3%? , C. If f : :3 and g is any filnction, then f. —l— g has the same dornain ' as - - - ‘f‘Vfl-fl a. A, Band C B. If f is an even function, then f : f shag, e. A and'B only 12. What is true about the circle 51:2 + y2 = 10 and the line y = 3:13? :03 exam-ya" {3x231 3 King-3x3“ fax? m? A‘E‘w‘l so wet“ am» P“? g - a. They intersect only in the two points (1, 3) and (1, —3). g 3s 10. They intersect only in the hive points (+1, 3) and (—1; 7‘3“ @They intersect only in the two pOints (1: 3) and (_1="-_3) ‘ I d. They-intersect only in the four points (1,3), (1, ~51), (—1, 3) and (—1,—3). clack .-.><=l,-y=3 =- Futile Maw/0 V” - - . '3 z: 3'/ r 5/ _ e. They do not intersect at all. xx"! .=~z: (’i)‘LMA-zilei+9e/a / ' [7’ m3 9: 3'{ui) 13. What is the slope—intercept form of the equation of a line that is _ parallel to the line 2y+33 + 5 i 0 and goes through the point (2, —2)? a. y: ~22? + 1 whale, {ref Eggs-:4 elf “1:2{3} 2y -:: “xx WK“ . r: s . -_ [kw “m. a" it. 1m b. .y 2 2:2: — 1 (the WWW? f a»: g 5' ' l f ' Sea} M was? d y = ésc+ 1 Pt?“ MW e me} if ‘9’ " '5’ f e y 2 252: + 1 a , _ l - :5”! V’ f 14. What is true about the followingsystem of equations? 33:? x+y=2 1+1.- lx =32; l3 X 3 5“"“920 arr,“ 7:)(5/ CLl-flflft :- X :‘y : i] .‘I .. , - “W I = Mi'm 2, v’ b. The equatlons are dependent ' fix: /, ; I a l/ a. The system-is inconsistent. c. The graphs oftthe equations are parallel lines. " . . . _ , my fl" ' The system 18 consrstent. when; .sxnartgx 63m: tea/axles: flf‘j : e. None of the above. 15. For What value of k istheline-through'the points (1,0) ahd"(0,k:) perpendicular to the line y t 2523 + l? ' ' 2; " e 4 lg, iglwfll‘: 31- k 2 siege . .3 _ _ .®k=% d' k— _l y-E E’er 4" f 99.5 - . *— 2 T g i ' . . 3 l. l w r. m www- : «25' H. h was. 3_ k : 1 fiffimfl’e‘gmtflr .5 @331 “ fiffifffia “4 a. ,3 52' if: 16. 'W Varies directly with d AND it varies inverselywith T2. When d I 4 and 7' : 3 the value of W is 16. Then- the formula relating W with d and 7° is ,7 - a, _ f . a": aw I W 6472 - 5% r?“ g? ' a. : - ‘- 4Zd2 La is; w e? «a $5: 1). W = —?°~ .7 . 9 it: w r a? i; w I c. W 2 5—62 _ a] I . _ r t ' . ' — " d 3539* We fl“ Sig we - was. “Leia; d' W ‘ 36'!"2 ' _ f 3"" e, W : _36_d 17. Which of the graphs belongs to "the function .- —:1:—2, if —.3§$£0 ifO_<:L‘§l 2 if1<33§3.- 18. Which of the following expression(s) define(s‘) y as a function of :13? A.y:$3 B.33.2+y2=_1 C.y=:c2 D.y2:x .. e i ,t _ and C only _ r ‘3} W ._ ..7 ' M I” L if I b. B andD only Y “31’- I K V "3“ C. C Eeyg'ir may”: Mflggésséfiriig £635" #r y . j . é' . d. C and D only _ e. B and C only I _ 19. Peter has left the water running in the‘lritchen sink. "The sink is 15 ’ inches deep. At 10' a.n1..the water level in the sink was at 2 inches ‘ and 15 minutes later it was already at 3 inches. The relation between the timeit (measured in hours after 10 am.) and the water level w (measured in inches) is linear. _ ' I What is the equation relating w and t? 3.w=1%75+2 “ r é rte at flea b w : it+2 Emmi"; {age-fl} § (“:3 {'36) ' gamma _ ' 4 five—fl» ‘I rm h ‘ V , c. 1w: 15t+2 - — ' ‘53 .5 “"33 _ ' - 7 ' fijflfiifi ‘E "'2'" 1: ML fl (7L w = 4t + 2 - v :f ,3 .93. e.w=2t+15 “use; (Na-:3, I 20. (Bonus!) .Which' of the following functiOns- have the interiral [0, 00) as their range? , Any-{1:2 Egg—tins] Cryzfi D.-y=:c3 (mm 7 ..~____m_‘.w ME” (m h E r» '33-“ w ft; r {M}. Mffiwn ‘ v. a? j a. all of them . only A and B _ only A, B and. . only A and C I e. only A and D MAC 1140, Test 3 A, Part II Summer 2007 Section number: UF ID: "Name; Signature: SHOW ALL WORK TO RECEIVE FULL CREDIT! 1. Solve the folIOWing system of equations. ' (I) - 3:1: (I) 3 — ‘4‘ — 2 mi“; ifi é K - 73?! “a 8 ii ”’-(“Z}W -£;L>< 4» go a; mom; I +fi 3x. B: 2“ ? I“) X *2; vii; ‘Ta : I‘ I'm (~13 ME" “563? Ml 2gp; m :5?“ if.“ h ,w m- \ a; .9- “ w m -g€’n f Ki; “‘5 . ~- I. a, ‘ g _ I X " g , ‘2? (I3 W‘g m ifiegmif} w :63an had Ta"? WM“ M “Mmmww-fima,vv-vntwlmfinw .1 :5- ; I “EH m The solution set is: . fig. . .-'. . . . .. 2. Solve the following system of equations. “a? wk: 5‘ M ~ A 1 f3. A «a 3 “3:, ~“§ " s- W 3; ' he: Eéfmfwlvéf . “wwsiw‘ I x': 3,}? 3 flsz‘3f3; gngil'win‘ «:3 V” fl: émg x w, 3. 21) Find the standard form of the equation of the circle that is given by 2$2+2y2+8m—i2y+;8:0. )7 29 x2“ + ye“ v»— Iim'w is}; +9 «a» a m» 5f" - 3. xii-e 4M 7 +y say ' ‘ sud-'3': if wewef #13" e $H<F§ i; 4;: 3""4é’ye-Q x" f” Wan-$4. we? fit "21L ' I M 5' :2: (it «E gm)- sugiy» 5 g . . A . . . . u n . b) What is the midpoiht and What is the radius of this circle? Sketch the circle in the coordinate system! ‘ I ‘ (X+L)l+ (9,3; w 3% garage. _ a T . i an a; . (“9an (was) - g . 4. If, f 4: 222 —> 3:23 —|— 1 evaluate and simplify the follovving difference rm h) — m I Wk . quotient: .a" .3 + Lr“ the 213‘ m: “‘5 3 F" :31 :flfi W. o e. .. , jg.“ WWW-“.mxmwwmwfl VL- : a ( vx+2A v :3) 5. A motorboat starts at 10 am. to make a 10 miles trip down the river and it arrives at;10.30 am. In the evening, due to heavy rainfall, the speed of the current has doubled. Then the boat, going at the same average rate relative to the water as inthe‘_rnorning, needs 1 hour and 15 minutes for the return trip. What is the speed 2: of the boat relative to the Water and What was the speed 9; of the cur-rent in'the mOrning? Set up a system of two equations in two variables and solve it! 7 _ .30 W‘L-clfim‘ifé“ '3 ‘2; Luau? .‘ i i499“? Emmi.“- inane" (w: «M = 4: my) -: m (2:: E" - a \ if, (A wig} a ,s a arwmg, Mm a + _» a. m g .I 3y “:3 Elk ' ; .E‘ “‘ ‘L. H {E x + '3” x "=2- ’ la y. . n m Nix], “alumna, We“ fitmeflfi finitely-«('2‘ m “L a {flatth -3, am :53 m K ‘ €{15“8)*%‘g is m / - Speed of the'boat: . “Plait- . . . . . . . . .. ..qa- Speed Of the current: . . . . . . . . . . . . . ...
View Full Document

Page1 / 11

solution3A - 9A (NOTE: Be sure to bubble the answers-to...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online