The expression y = 4.998 · is the exponential function that passes through the points (- 1, 5 / 3) and (3, 135).
<h3>How to derive an exponential function that passes through two given points</h3>
Herein we find the location of two points set on Cartesian plane that belongs to an exponential function of the form:
Where:
- A - y-Intercept of the exponential function.
- B - Growth factor
- x - Independent variable.
- y - Dependent variable.
Which is equivalent to the following logarithmic expression:
㏑ y = ㏑ A + B · x
If we know that (x₁, y₁) = (- 1, 5 / 3) and (x₂, y₂) = (3, 135), then the following system of equations is generated:
㏑ (5 / 3) = ㏑ A - B
㏑ 135 = ln A + 3 · B
Then, we solve the system by numerical methods:
㏑ A = 1.609 (A = 4.998), B = 1.098
And the exponential function is equal to y = 4.998 · .
To learn more on exponential functions: brainly.com/question/11487261
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Because it's a right angle, you can determine that Angle ABC and Angle CBD=90 degrees. Therefore:
(2x+1)+33=90
2x+1=57
2x=56
x=28
Due to one of the postulates, or whatever (haven't done geometry in 2 yrs, forgive me), angles GJH and FJI are equal to each other. Therefore:
5x+12=6x-10
-x=-22
x=22
Answer:
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Step-by-step explanation: