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:
MN = 160
Step-by-step explanation:
We know that arc MN = arc NO
17g - 10 = 14g+ 20
Subtract 14g from each side
3g -10 = 14g-14g+20
3g -10 =20
Add 10 to each side
3g = 20+10
3g = 30
Divide by 3
3g/3= 30/3
g= 10
We want the arc MN
17g - 10
17(10) - 10
170 -10
160
10/8 in simplest form:
First, we can start off by finding the GCF of the denominator and the numerator. To do so, we need to list the factors of each of them and find the common ones.
Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8
We can see that our common factors are 1 and 2, considering that both the numerator and denominator has the same factors (1 and 2). Since we have our common factors, we need to find the greatest. Which is the greatest out of 1 and 2? The GCF is 2 because it is bigger than 1.
Second, divide the numerator and the denominator by the GCF (2).
Third, now we can revise our fraction and turn it into the simplest form. Take the two numbers you just got above us and put them in their numerator and denominator spot. You should get:
Answer in fraction form:
Answer in decimal form:
Answer in mixed number form:
Question 5- is 9
question 6- is 9
question 7-is 4
question 8-is 21
Question 9-is 2
question 10-not sure sorry :(
Tell me if your right ;)
<h2>
Stella is correct about center and wrong about radius </h2>
Step-by-step explanation:
Equation of circle with (h,k) as center and radius r is given by,
(x-h)²+(y-k)² = r²
Here equation is
x²−8x+y²+2y=5
Changing in to (x-h)²+(y-k)² = r² form
x²−8x + 16 - 16 +y²+2y+1 - 1=5
(x-4)² - 16 + (y+1)² -1 = 5
(x-4)² + (y+1)² = 22
(x-4)² + (y+1)² = 4.69²
Center is (4,-1) and radius is 4.69
Stella is correct about center and wrong about radius
