Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Equations and Inequations
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
how do i solve 3,4,5?
Transcribed Image Text:1.3
SECONDARY MATH III // MODULE 1
FUNCTIONS AND INVERSES -
Period
Date
Name
READY, SET, GO!
READY
Topic: Solving exponential equations.
Solve for the value of x.
73x-2 = 7-2x+8
3. 43x = 22x-8
2.
1. 5x+1 = 52x-3
5.
8*+1 = 22x+3
6. 3*+1 = 1
4. 35x-4 = 92x-3
81
%3D
SET
Topic: Exploring the inverse of an exponential function
Time (hours)
Height (feet)
In the fairy tale Jack and the Beanstalk, Jack plants a magic bean
before he goes to bed. In the morning Jack discovers a giant
beanstalk that has grown so large, it disappears into the clouds.
1
3
1.5
5.2
9.
But here is the part of the story you never heard. Written on the
bag containing the magic beans was this note.
2.5
15.6
3
27
3.5
46.8
Plant a magic bean in rich soil just as the sun is setting.
Do not look at the plant site for 10 hours. (This is part of
the magic.) After the bean has been in the ground for 1
hour, the growth of the sprout can be modeled by the
func tion b(t) = 3°. (b in feet and t in hours)
4
81
4.5
140.3
243
5.5
420.9
%3D
6.
729
6.5
1,262.7
2,187
3,788
6,561
11,364
19,683
34,092
59,049
Jack was a good math student, so although he never looked at his
beanstalk during the night, he used the function to calculate how
tall it should be as it grew. The table on the right shows the
calculations he made every half hour.
7.5
8.
8.5
9.
Hence, Jack was not surprised when, in the morning, he saw that
the top of the beanstalk had disappeared into the clouds.
9.5
10
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