Mathematics, 24.03.2020 20:08 suee8780
Karen has been working on her math homework for a very long time. Dakota asked about the methods Karen was using to solve each equation.
Part I: Evaluate
Take a look at Karen's work and then show her a more efficient way of finding each solution.
Karen’s Work
Better Method for Solving
Problem #1:
2x2 = 200
Method Selected: Quadratic Formula
Karen’s Work:
Problem #1:
2x2 = 200
Method Selected:
Your Work:
Problem #2:
x2 – 4x – 5 = 0
Method Selected: Completing the Square
Karen’s Work:
x2 – 4x – 5 = 0
x2 – 4x = 5
x2 – 4x + 4 = 5 + 4
(x – 2)2 = 9
x – 2 = ± 3
x = 2 + 3 and x = 2 – 3
x = 5 and x = –1
{–1, 5}
Problem #2:
x2 – 4x – 5 = 0
Method Selected:
Your Work:
Problem #3:
x2 – 144 = 0
Method Selected: Quadratic Formula
Karen’s Work:
x2 – 144 = 0
x = 12 and x = –12
{–12, 12}
Problem #3:
x2 – 144 = 0
Method Selected:
Your Work:
Problem #4:
(x – 4)2 = 25
Method Selected: Quadratic Formula
Karen’s Work:
(x – 4)2 = 25
x2 – 8x + 16 = 25
x2 – 8x + 16 – 25 = 25 – 25
x2 – 8x – 9 = 0
{–1, 9}
Problem #4:
(x – 4)2 = 25
Method Selected:
Your Work:
Problem #5:
x2 – 16x + 64 = 0
Method Selected: Completing the Square
Karen’s Work:
x2 – 16x + 64 = 0
x2 – 16x = –64
x2 – 16x + 64 = –64 + 64
(x – 8)2 = 0
x – 8 = 0
x = 8
{8}
Problem #5:
x2 – 16x + 64 = 0
Method Selected:
Your Work:
Part II: Compare and contrast
Choose two of the equations to compare and contrast problem solving strategies and solutions. Did Karen get the correct answers? Why do you think it took her over two hours? (Note: Use at least two of this module’s vocabulary words in your response.)
PLZ help 35 points
Answers: 3
Mathematics, 21.06.2019 17:30, ricardodeleon152
As part of an annual fundraiser to raise money for diabetes research, diane joined a bikeathon. the track she biked on was 1,920 yards long. diane biked 38.5 laps. her sponsors agreed to donate an amount of money for each mile she biked. how many miles did she bike? first fill in the blanks on the left side using the ratios shown. then write your answer. given ratios: 5280ft / 1 mi , 1 mi /5280 ft , 1,920 yards / 1 lap , 1 lap / 1,920 yards , 3 ft / 1 yard , 1 yard / 3 ft. blanks: 38.5 laps / 1 yard x (blank) x (blank) x (blank) = (blank) miles i'm really confused on how to do this, and the explanations aren't exactly . if you could walk me through how to do this, it would be greatly appreciated.
Answers: 1
Mathematics, 21.06.2019 20:30, afitzgerald
Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.
Answers: 3
Mathematics, 21.06.2019 23:00, kj44
Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above
Answers: 2
Karen has been working on her math homework for a very long time. Dakota asked about the methods Kar...
Mathematics, 26.08.2020 23:01
Mathematics, 26.08.2020 23:01