Answer:
x = 7 / 2
Step-by-step explanation:
5(2x - 9) + 3 = -7 ---------- subtract 3 from both sides
5(2x - 9) + 3 - 3 = -7 - 3
5(2x - 9) = -10 ------ divide both side by 5
2x - 9 = -2 ---------- add 9 to both sides
2x - 9 + 9 = -2 + 9
2x = 7
x = 7 / 2
Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)
<h3>Logarithmic function</h3>
Logarithmic are inverse of exponential functions. Given the following functions;
g(x)=log2x and g(x)=log10x
The point where the graphs intersect is the point where g(x) = g(x)
Equate
log2x = log10x
2x = 10x
The value of x that made them equal is 0
Determine the value of g(x)
g(0) = log2(0)
g(0) = ∞
Hence the point where graph of f and g intersect is (0, ∞)
learn more on log function here: brainly.com/question/13473114
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Answer: The flagpole is about 22.3 feet tall.
This is roughly the size of a two story building, assuming each floor is 10 feet or so.
Since this height is under 25 ft, this flagpole is in compliance with the regulation.
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Work Shown:
The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.
The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.
Use the tangent rule to connect the opposite and adjacent sides.
Solve for x.
tan(angle) = opposite/adjacent
tan(25) = (x-5.5)/36
36*tan(25) = x-5.5
x-5.5 = 36*tan(25)
x = 36*tan(25)+5.5
x = 22.28707569358
x = 22.3 ft is the approximate height of the flagpole
Make sure your calculator is in degree mode.
The height is not over 25 ft, so this flagpole meets the requirements.
Answer: the answer is
Step-by-step explanation:
