Answer:
-65 is your answer
Step-by-step explanation:
What you do is you divide -3 to both sides.
195/-3=-65.
-65 is your answer.
This difference would be 45 - 39, or 6 pages.
Using function concepts, it is found that:
- a) The y-intercept is y = 2.5.
- b) The horizontal asymptote is x = 3.
- c) The function is decreasing.
- d) The domain is
and the range is
. - e) The graph is given at the end of the answer.
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The given function is:

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Question a:
The y-intercept is g(0), thus:

The y-intercept is y = 2.5.
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Question b:
The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

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Thus, the horizontal asymptote is x = 3.
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Question c:
The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.
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Question d:
- Exponential function has no restrictions in the domain, so it is all real values, that is
. - From the limits in item c, the range is:

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The sketching of the graph is given appended at the end of this answer.
A similar problem is given at brainly.com/question/16533631
Answer:
x = 24/√3
4√3 = y
Step-by-step explanation:
We are given that this is a right triangle as well as two angles and a side.
Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to
(180-90-30) = 60 degrees
Next, given sohcahtoa, we can say that
sin(30) = opposite/hypotenuse = y/x
cos(30) = adjacent/hypotenuse = 12/x
tan(30) = opposite/adjacent = y/12
We want to only have one variable per equation so we can solve for the variable, so we can use
cos(30) = 12/x and tan(30) = y/12
Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get
cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get
x = 12/cos(30). Next, cos(30) = √3/2, so we have
x = 12/(√3/2)
x = (12/1) / (√3/2)
x = (12/1) * (2/√3)
x = 24/√3
For y, we have
tan(30) = y/12
multiply both sides by 12 to isolate the y and remove the denominator
tan(30) * 12 = y
√3/3 * 12 = y
√3 * 4 = y
4√3 = y
Answer:
angle 1 = 123°
Step-by-step explanation:
Here, angle 2 = 123° {being veritical opoosite angle}
so, angle 1 = angle 2 {being alternate angle}
so, angle 1 = 123°