Please Help!!!!
2 answers:
Answer:
3
Step-by-step explanation:
The linear function
One of the points is (0,5), so
f(0) = 5
The y-intercept is at (0,5).
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The exponential function
The general formula for an exponential function is .
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Calculate the <em>value of b </em>
y₃/y₂ = [a(b)³]/[a(b)²]
250/50 = b
b = 5
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Calculate the <em>value of a </em>
250 = a(5)³
250 = a × 125
a = 2
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g(0) = 2(5)⁰
g(0) = 2 × 1
g(0) = 2
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|f(0) – g(0)| = |5 – 2|
|f(0) – g(0)| = 3
The positive difference in the y-intercepts of f(x) and g(x) is 3.
You can see the two y-intercepts on the graph below.
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Answer:
<em>x = 437.3 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
In right triangles, where one of its internal angles measures 90°, the trigonometric ratios are satisfied.
We have completed the figure below with the missing internal angle A that measures A = 90° - 29° = 61° because the lines marked with an arrow are parallel.
Given the internal angle A, we can relate the unknown side of length x with the known side length of 500 ft, the hypotenuse of the triangle. We use the sine ratio:
Solving for x:
Calculating:
x = 437.3 ft
