Algebra and Trigonometry
4th Edition
ISBN: 9781305719781
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: PEARSON
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Chapter PL, Problem 3P
Cutting up a Wire A piece of wire is bent as shown in the figure. You can see that one cut through the wire produces four pieces and two parallel cuts produce seven pieces. How many pieces will be produced by 142 parallel cuts? Write a formula for the number of pieces produced by n parallel cuts.
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The original idea for creating this applet comes from Steve Phelps' Graph the Line applet.
Directions:
1) Examine the equation shown on the right side of the screen.
2) Reposition the 2 big points so that the line is the graph of the displayed equation.
3) Click the "Check Answer" checkbox to check.
If you're correct, the app will inform you.
If you're not, you'll know this as well.
If you're not correct, keep trying until you position the gray line correctly.
4) After correctly graphing the line, click the "Generate New Line" button.
Problem 1 & 2 answers
1. One diagonal has 11 squares, then total square in total for two diagonal line is 11 + 11 - 1 = 21 .
2. Each part has 5 squares.(except middle)Multiply by 4: 5 × 4 = 20.Add the middle square: 20 + 1 = 21.
2. Now Figure out a different way you could determine how many squares there are in the figure,
again without counting them all one-by-one. Briefly describe this other method:
Chapter PL Solutions
Algebra and Trigonometry
Ch. PL - PROBLEMS Distance, Time, and Speed An old car has...Ch. PL - Comparing Discounts Which price is better for the...Ch. PL - Cutting up a Wire A piece of wire is bent as shown...Ch. PL - Amoeba Propagation An amoeba propagates by simple...Ch. PL - Batting Averages Player A has a higher batting...Ch. PL - Coffee and Cream A spoonful of cream is taken from...Ch. PL - Wrapping the World A ribbon is tied tightly around...Ch. PL - Prob. 8P
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- Please use simple terms when giving an explanationarrow_forward(b) g(x) = log3(x+2) Sketch the graph. y 10 X -10 -5 5 10 -10 -5 10 y -5 5 -10 X 2 4 6 8 10 10 y -5 -10 -10- State the domain and range. (Enter your answers using interval notation.) domain range State the asymptote. Need Help? Read It 5 y 10 -5 5 -10L X 5 10 x -8 -6 -4 A Sarah Nasri Sarah Nasri Hilly Hilly Amy Goyal Amy Goyal Alisha Williams Alisha Williams Chris Sabino (he/him)arrow_forward3. [-/2.5 Points] DETAILS MY NOTES SCOLALG7 4.T.001. 0/100 Submissions Used Sketch the graph of each function, and state its domain, range, and asymptote. Show the x- and y-intercepts on the graph. f(x) 2-x+4 (a) Sketch the graph. ASK YOUR TEACHER y 10 y 10г 5 X -10 -5 5 10 2 4 6 8 10 10 y 5 -5 10' -10 -10 -8 -6 -4 2 -10 -5 State the domain and range. (Enter your answers using interval notation.) domain range State the asymptote. 10 y 5 -5 -10 5 10 X Sarah Nasri Sarah Nasri elijah jones elijah jones Amy Goyal Amy Goyal I'm away Alisha Williams Alisha Williams Chris Sabino (he/him)arrow_forward
- A graph of a function is given. Use the graph to find the indicated values. y 4 0 (a) g¯¹(0) (b) g-1 (1) (c) g¯¹(6) Need Help? Read It 16.0 g 4 ☑ Sarah Nasri elijah jones Amy Goyal Alisha Williamsarrow_forward1. [0/2.5 Points] used for your score. DETAILS MY NOTES SCOLALG7 2.6.061. 1/100 Submissions Used PREVIOUS ANSWERS ASK YOUR TEACHER A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph. f(x) = x²; stretch vertically by a factor of 4, shift downward 2 units, and shift 3 units to the right y Need Help? Read It Watch It Show My Work (Optional)? Submit Answer Run script "open_bc_enhanced ('watch_it', %20'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scolalg5_03_05_043&prod=scolalg5',%201)"arrow_forwardExercise 14.4. Let R be a ring, and Z(R) = {a Є R | ab = ba, \b € R} For every nЄN, show that Z(Mn(R)) = - {( - ) \ - - x m} a Z(R)arrow_forward
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