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96test3ans

# 96test3ans - Z Math 96 — Test 3 Name_~ ff was Show work...

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Unformatted text preview: Z? _ October 26, 2011 Math 96 — Test 3 Name_~ ff} was Show work for full credit. 1. Find a and b in the right triangle to the nearest tenth of a foot. You may use sin 36° = 0.5878, cos 36° = 0.8090, or tan 36° = 0.7265. a=57 .324 36° : 2!. H. a bet? cast; : 3299/ «9+. b Perform the complex number arithmetic operations. 2. (2—7i)—(—3+4i) 3. (2—7i)(-—3+4i) :z—7r1+b»e; :—e+85+215"2&31 _ o z —a +mz+ze “ETD . a ﬂ° -’ at 4. “7‘ ~ E's z g “24‘ 7L 5. (2i)5+(3i)3 3+1 3% ?_E7— . \$05 505 o - a t + 3 L : _3+20t+7t ’ /()+’.LOL ' L 949 no :32; —« 2'75 “7+25 :Zg Solve by completing the square. Solve by any method. 6. 2x2+7x+3=0 7. x2—14x+85=0 ZXL+7x v «5 xiv/0x449 C ._ ab L Khan ~ '5 q ‘ (xvﬂ : ~59 4 - e ‘t . XL+%/)¢+%w .%+75 X~?:i‘f'§;:iéc “— 4.4 (+01 :25 o Qu—éj— 3 T’J'E “a ><=7iet 7% i :b}: V q L1)"; , 3+ ti ; p q ' " ‘I 2? October 26, 201 1, Math 96 — Test 3 page 2 of 4 8. For some constant a, the equatiOn ax2 — 60x + 36 = 0 has one real solution. [Hi/1r: Use the discriminant b2 — 4616.] a. What is a? a: bkqu : L—eOSL — Li «no =- 3b00 — NIL/q 2 \$000 2 M900 1 e211 1" Q“ 1w” ' 33" ‘* E b. What is the one real solution of the equation? L 0:. ngL—(oOK +5L; 2 EX -(ay A Qx—(oto =5 X:}%‘ Find an equation of the form ax2 + bx + c = 0 with integer eoeﬁicients having the given numbers as solutions. 9. —3 10. 7MB, 7—«/’i§ xegzs Bax—ZZO/ x:—3=3><+3w X:?t§€‘ x—7 : If? ’1 K+3 : O - UK >Q > (X’ﬂz. : b Solve the fornula for the given letter. Assume all variables represent positive numbers. 11. K = %mv2 forv 12. A = x2 + 4hx forx its.va XL+VKX “k #0 L XL +sz x + “HAL = A‘LL/h‘ (X +00% : 754914" x+’Ur\ ; :HA MILL“ W 14w 1» m“ M ’0 October 26, 2011 Math 96 — Test 3 page 3 of 4 Solve. 13. x2/3 +8x"3 +15=0 14. x4—7x2 +12=0 Vb 0‘ F L : K r X (Al-7L1 + /2— t O QA-L{ )(u-N “*0 WAS CW5 ‘0 U: W o~ “:3 (ﬁrsz exams”? gag d‘ >6 _/,5 on. LP—‘b ‘1: 2421 u _ .W V £/%:“€ L X y: ~3 //rz—’_ x = ’7} y (1?" 5 Find (i) the vertex of the graph ofeach quadratic function and (ii) the x—imercepts (ifany), (iii) y—intercept, and (iv) graph theﬁmetion. W 15;... 4 L3 max H- i 0 O __ _ (x- 13‘ + w z} Q<~ 131 = q 4. “'i1,:;:; x —7_ —— d: ’L .. 1 -__._ X ._-__ 2 t a :1) O or L! at) (#8 Z _ Wax +q:o K0103 ,b _ -8 v 4, £Qz):2e2\”8<-23Ho _ i3 ‘ ’26:) : (Sh—(6+6: -2 lﬂ ELY o —_ exf+8x+fo = L Haw”) :ZL‘NHXQX‘L’S) we . x~:/ w x=-3 an) m» = (9 kw y] ’1’ Mb 27 October 26’, 2011 Math 96 — Test 3 page 4 of 4 17. Find an equation either in the form y = 6106 — h)2 + k or y = ax2 + bx + c that describes the following graph. l1, ‘1‘} 1 y ’— Q Cx—1\ «L L/ smear-w r.» 5: a+“i :\ a:~—1 . 1. —(x‘-b<+13+kl = ~)< +ZV-H—54 y:—XL+2.X+3 18. The height of a ball thrown up from the top of a building is described by the function f(t) = —16t2 + 32x + 48, where f(t) is the height, in feet, above the ground of the ball tseconds after being thrown. a. , After how many seconds does the ball hit the ground? (3 : rlétZﬂZHS/E : —/¢, («4f— 2f+ bl =—/<p&+z\ (ts-1.33 b. After how many seconds does the ball reach its maximum height above the ground? «Lo, - 3’1. / “ "‘ V :1 .S u/‘ulp 29 mi :51, c. What is the maximum height above the ground reached by the ball? «Cm ‘— 4W52w€r zlw rpm—Fl ...
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96test3ans - Z Math 96 — Test 3 Name_~ ff was Show work...

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