Please download to get full document.

View again

All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.

Category:
## Music & Video

Publish on:

Views: 2 | Pages: 13

Extension: PDF | Download: 0

Share

Description

Lesson a: The shape would be stretched verticall. In other words, there would be a larger distance between the lowest and highest points of each ccle. b: Each ccle would be longer horizontall.

Transcript

Lesson a: The shape would be stretched verticall. In other words, there would be a larger distance between the lowest and highest points of each ccle. b: Each ccle would be longer horizontall. Fewer ccles would fit on a page of the same length See graph at right. domain:, range: 0, asmptotes at = and = 0 f!1 () = a: 7.04 feet b: cm c: 8.94 meters º - 60º:! 1,! ; 45º - 45º:! 1,! 1 or, 7-7. = 6! 7-8. = 5, does not check a: = ( + 5 ) + 4, verte (! 5, 4 ) b: (0, 7) c: ( 5, 7); See graph at right No -intercepts, -intercept: (0, 88) (!1) + = 0 ; See graph at right. center: (1, 0), intercepts: (± 0 + 1, 0) and (0, ± 9) 01 CPM Educational Program. All rights reserved. Lesson 7.1. (Da 1) a: 0 60: hpotenuse:, leg: ; isosceles: hpotenuse:, leg: 1 b: See diagram at right =,! 5, = a: 0 b: c: 4 d: : ; 4; 5; undefined; 7; 8 a: See graph at right. It is linear. The data does not all connect because f (1) is undefined. b: = + 5, f (0.9) = 5.9, f (1.1) = 6.1, no asmptote. c: The complete graph is the line = +5 with a hole at (1, 6) a: An eponential function b: = (0.9) t 7-1. If he drives down the center of the road, the height of the tunnel at the edge of the house is onl approimatel.56 feet. The house will not fit. 7-. a:.75 b: = 18, = 1, z = 9 01 CPM Educational Program. All rights reserved. Core Connections Algebra Lesson 7.1. (Da ) 7-4.! # º or 19.5º 7-6. She should have subtracted!16 = 48 to account for the factor of three. The verte is (4, 7) See graph above right a: b: c: d: 7-0. = or! 1 4, = W -1 () 7-1. a: See graph at right. 1 b: No; when the points are interchanged, the input = 0 has two outputs R + B + G = 40,!R = B + 5,!R = G ; 18 red, 1 blue and 9 green Selected Answers 01 CPM Educational Program. All rights reserved. Lesson See graph at right (a): Above ground just past the highest point. (b): Just below ground. (c): Back to the starting point. See diagram at right feet B A C 1 (a) -1 (c) (c) (c) (c) (b) (b) 7-9. a: log 6 = log + log! b: log15 = log + log 5! c: log 9 = log! d: log 50 = log 5 + log! =!± 6, = = ( +1)! ; See graph at right No real solution C + W + P = 40, W = C! 5, C = P ; 18 from California, 1 from Washington, and 9 from Pennslvania 4 01 CPM Educational Program. All rights reserved. Core Connections Algebra Lesson (Da 1) ( 4, 1 4 ) 15 or (! 4, 1 4 ) P: (cos 50º, sin 50º ) or (~0.64, ~0.766); Q: (cos110º, sin110º ) or (~ 0.4, ~0.940) ( ) a: 00 b: 1,! c: 1,!! a: 0 b: 60 c: 67 d: = a: downward parabola, verte (, ), see graph above right. b: cubic, point of inflection (1, ), see graph below right Solving graphicall: a: = 5d m and = 0.0() m!1 b: R vs. T: $55 vs. $15.6, $60 vs. $15,78.64, $100 vs. ~ $1.901! All of these problems could be solved using the same sstem of equations. Selected Answers 01 CPM Educational Program. All rights reserved. 5 Lesson (Da ) º, 1º, 8º, or 0º 7-6. a: An angle in the 4 th quadrant. b: 70 or 90 c: An angle in the rd quadrant. d: Approimatel 160 e: No, an angle with sine equal to 0.9 has cosine equal to ±0.459, so the point (0.8, 0.9) is not on the unit circle a: (0.40, 0.997) b: (cos70, sin70 ) c: (cos 70 ) + (sin 70 ) = = Graph is sine, while graph 1 is cosine. Answers will var a: All es. b: Answers will var. c: = (! n) for all integers n intercept: (0, 17), -intercepts: (! + 1, 0) and (!! 1, 0) a: = 4 b: = ' 5± 57 4 c: no solution d: If a = +, then a + 5 a. Or, solving ields =, but when substituted, gives a zero denominator Tess is correct: A sequence has no more than one output for each input. A sequence is a function with domain limited to positive integers CPM Educational Program. All rights reserved. Core Connections Algebra Lesson a: Same;! and 60 are measures of the same angle. b: 45º, 15º, 405º, etc a: b: a: Set each factor equal to zero to get = 0, 1, or. b: Factor to get ( 1)( + ) = 0. = 0, 1, a:.657 b: 0.96 c: He should have subtracted! 9 4 = 9 to account for the factor of. The verte is (,! 5 ) a: = (! )!1, verte: (, 1), ais of smmetr = b: = (! )! 7, verte: (,! 7 ), ais of smmetr: = 7-8. a: =.511 b: = See graph at right. a: No b: 10 10, c: 00! sq. units f!1 () = (!1) + for 1; See graph at right. Selected Answers 01 CPM Educational Program. All rights reserved. 7 Lesson a: 0.76 b: 7-91.! 6,! 5! ! 4,!,!,!,! 4, 5! 6,!, 7! 6, 5! 4, 4!,!, 5!, 7! 4, 11! 6,! 7-9. See diagram at right. a: A little less than 60 (almost 44 ). b: sin a: 1 b: 1 c: undefined d: ~ 4.7% annual interest sin A cos A = ! a: f!1 () = +1 4 b: g!1 () = a: = 4 or = b: CPM Educational Program. All rights reserved. Core Connections Algebra Lesson a:! ±! n b: See diagram at right. c:, 1, a: 0 b: 0 c: 1 d: 0.5 e: 0 f: undefined Some ma set up a proportion, others ma use! a: 10 b: 00 c:! 4 radians d: 5! 9 radians e: 9! radians f: See graph at right. f() f () = (! 4) + f -1 () a: 5 1 b: a: a + b b: c c: a + b d: a + c a: See graph at right. b: Yes, the pizza will never get below room temperature. temperature time Selected Answers 01 CPM Educational Program. All rights reserved. 9 Lesson a: See graph at right. b: = 1+ sin c: : (0, 1), :!(!!, 0! ),!(,!0 7! ),!(,!0),!... d: Yes, there are infinitel man, at intervals of π a:! b: = sin( +! ) a: This ma go up and down, but the ccles are probabl of differing length. b: This ma or ma not be periodic. c: This is probabl approimatel periodic = 100 sin ( +! )! 50 or = 100 cos! Onl one needs to be a parent, since = sin( + 90 ) is the same as = cos a: =!6 b: =!(0.5) 7-1. a: = ± 5 = ± 15 5 b: = 4, 1 c: = a: b: a =! 15 =! , possible equation: =! 15 (!15) CPM Educational Program. All rights reserved. Core Connections Algebra Lesson a: = sin!! 4 ( ) + ( ) ( ) + or = sin ( + 5! 6 ) + ( )!1 or =!sin ( +! )!1 b: = 1.5 sin +! c: =! sin!! 6 d: = sin!! is the period of = cos!, so shifting it 60 left lines up the ccles perfectl Graphing form: = (!1) + ; verte (1, ); See graph at right a: = (0, 0), 5± (,!0) and = (0, 0) ears a: =! ( ) , = all real numbers, =! 5 8 ; Yes it is a function. b: =!( +1) +15, domain: all real numbers, range:! 15 ; Yes it is a function , unsafe a: 5,000,000 btes b: 1. minutes c: According to the equation, technicall never, but for all practical purposes, after minutes See graph at right. a: The verte of the graph is at (6, 4) with two ras emanating at slopes of ±1. b: See graph at right. Flip all parts of the graph that are below the -ais above the -ais. Selected Answers 01 CPM Educational Program. All rights reserved. 11 Lesson a: Amplitude, period 4π b: See graph at right. c: The differences are the period and amplitude, and therefore some of the -intercepts. The have the same basic shape ,!! = 1 or! (1) =! Colleen s calculator was in radian mode, while Jolleen s calculator was in degree mode. Colleen s calculation is wrong = sin (!1) is correct. To shift the graph one unit to the right, subtract 1 from before multipling b anthing The are both wrong. The equation needs to be set equal to zero before the Zero Product Propert can be applied. + 5! = 4 is equivalent to ( + 7)(!1) = 0. = 1 or =! a: b: 1.5 c: d: a: = 0 ( 1 ) + 5 b: w = a: Answers var, if g() is linear, tangent lines onl. b: An line = b such that b CPM Educational Program. All rights reserved. Core Connections Algebra Lesson a: Yes b: = cos ( +! ) c: = sin ccles, period:! Answers will var a: 180º b: 540º c:! 6 radians d: 45º e: 5! 4 radians f: 70º a:! b: c: 1 d: e: 1 f:! 1 g:! 4 or 5! 4 h:! 4! or 7! ( 1, 1, ) a: = 0, = 1, or = 5 b: = 6 or = 1 c: Answers will var a, b, and c: Answers will var a: About $564,40 b: In 05 c: About $6,585 Selected Answers 01 CPM Educational Program. All rights reserved. 1

Similar documents

Search Related

We Need Your Support

Thank you for visiting our website and your interest in our free products and services. We are nonprofit website to share and download documents. To the running of this website, we need your help to support us.

Thanks to everyone for your continued support.

No, Thanks