Solved: College Algebra MAT111A Homework with Detailed Explanations

This document presents solutions to a series of College Algebra problems, covering topics such as identifying x and y-intercepts from graphs, matching scenarios to corresponding graphs, solving linear equations with constants in denominators, and finding values that satisfy given conditions. It includes graphical representations of functions, calculations using compound interest formulas, and detailed, step-by-step solutions for various algebraic equations and functions. Additionally, the document includes a scatterplot of data with exponential function modeling, offering a comprehensive guide for understanding and solving College Algebra homework problems. Desklib provides access to this and other solved assignments for students.

Running Head: COLLEGE ALGEBRA
College Algebra
Name of the Student
Name of the University
Author Note

1COLLEGE ALGEBRA
Table of Contents
MAT11A – College Algebra......................................................................................................4
Answer 1................................................................................................................................4
Answer 2................................................................................................................................4
Answer 3................................................................................................................................4
Answer 4................................................................................................................................4
Answer 5................................................................................................................................5
Answer 6................................................................................................................................5
Answer 7................................................................................................................................6
Answer 8................................................................................................................................6
Answer 9................................................................................................................................7
Answer 10..............................................................................................................................7
Answer 11..............................................................................................................................8
Answer 12..............................................................................................................................9
Answer 13..............................................................................................................................9
Answer 14............................................................................................................................10
Answer 15............................................................................................................................10
Answer 16............................................................................................................................11
Answer 17............................................................................................................................11
Answer 18............................................................................................................................12
Answer 19............................................................................................................................13

2COLLEGE ALGEBRA
Answer 20............................................................................................................................14
Answer 21............................................................................................................................15
Answer 22............................................................................................................................15
Answer 23............................................................................................................................16
Answer 24............................................................................................................................16
Answer 25............................................................................................................................17
Answer 26............................................................................................................................17
Answer 27............................................................................................................................17
Answer 28............................................................................................................................17
Answer 29............................................................................................................................17
Answer 30............................................................................................................................17
Answer 31............................................................................................................................18
Answer 32............................................................................................................................18
Answer 33............................................................................................................................18
Answer 34............................................................................................................................18
Answer 35............................................................................................................................19
Answer 36............................................................................................................................19
Answer 37............................................................................................................................19
Answer 38............................................................................................................................19
MAT-111A - College Algebra Homework Problems..............................................................20
Answer 1..............................................................................................................................20

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Answer 2..............................................................................................................................20
Answer 3..............................................................................................................................21
Answer 4..............................................................................................................................22
Answer 5..............................................................................................................................22
Answer 6..............................................................................................................................22
Answer 7..............................................................................................................................23
Answer 8..............................................................................................................................24
Answer 9..............................................................................................................................24
Answer 10............................................................................................................................25
Answer 11............................................................................................................................25
Answer 12............................................................................................................................25
Answer 13............................................................................................................................25
Answer 14............................................................................................................................26
Answer 15............................................................................................................................26
Answer 16............................................................................................................................27
Answer 17............................................................................................................................27
Answer 18............................................................................................................................28
Answer 19............................................................................................................................28
Answer 20............................................................................................................................29

4COLLEGE ALGEBRA

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MAT11A – College Algebra
Answer 1
Answer 2
Answer 3
Answer 4

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Answer 5
Answer 6

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Answer 7
Answer 8

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Answer 9
Answer 10

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Answer 11
x f(x) = sqrt(x) (x, y)
0 0 (0, 0)
1 1 (1, 1)
4 2 (4, 2)
9 3 (9, 3)

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0 1 2 3 4 5 6 7 8 9 10
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
f(x) = sqrt(x) g(x) = sqrt(x-1)
Answer 12
Answer 13

11COLLEGE ALGEBRA
Answer 14
25 35 45 55 65 75
31
32
33
34
35
36
37
38
Series1
Answer 15

12COLLEGE ALGEBRA
Answer 16
Answer 17

13COLLEGE ALGEBRA
Answer 18

14COLLEGE ALGEBRA
Answer 19

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Answer 20

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Answer 21
Answer 22

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Answer 23
f ( x )=x2−x3
(a) Since the highest power of the polynomial is 3 and the leading coefficient is negative,
the graph rises to the left and falls to the right.
(b) To find the x-intercept:
x2−x3=0
¿> x2 ( 1−x )=0

18COLLEGE ALGEBRA
¿> x=0 ,1
Therefore, the x-intercepts are (0, 0) and (1, 0). The graph touches the x-axis at (0, 0)
and crosses the intercept at (1, 0).
(c) To find the y intercept:
f ( x ) =x2−x3
¿> f ( x ) =0
Therefore, the required y-intercept is (0, 0)
(d) The graph neither has a y-axis symmetry and also does not have anything according to
the origin.
(e)
Answer 24

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Answer 25
Answer 26
Answer 27
Answer 28
Answer 29

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Answer 30
Answer 31
Answer 32
Answer 33
Answer 34

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Answer 35
Answer 36

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Answer 37
Answer 38
MAT-111A - College Algebra Homework Problems
Answer 1
x h(x)
0 1
1 0.5
2 0.25
3 0.125
4 0.0625

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0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
0.2
0.4
0.6
0.8
1
1.2
x
h(x)
Answer 2
x f(x) g(x)
0 1 3
1 0.5 2
2 0.25 1.5
3 0.125 1.25
4 0.0625 1.125
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
0.5
1
1.5
2
2.5
3
3.5
f(x) g(x)
x
Function
Answer 3

24COLLEGE ALGEBRA
Answer 4

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Answer 5
Answer 6

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Answer 7
x f(x) = 62 + 35 log (x - 4)
5 62
6 72.54
7 78.70
8 83.07
9 86.46
10 89.24
11 91.58
12 93.61
13 95.40
14 97
15 98.45
Thus, the approximate percentage of the adult height of a girl attained at the age of 13
is 95.40 percent.

27COLLEGE ALGEBRA
Answer 8
Answer 9

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Answer 10
Answer 11
Answer 12
Answer 13

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Answer 14
Answer 15

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Answer 16
Answer 17

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Answer 18
Answer 19

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Answer 20
(a) The scatterplot of the given data is given below:
75 80 85 90 95 100 105
0
100000
200000
300000
400000
500000
600000
700000
Age at Death
Savings Needed
(b) From the graph, it can be seen clearly that an exponential function is the best for
modelling the data.