solution3A

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

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

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