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OlgaM077 [116]
3 years ago
5

Find the horizontal asymptote

Mathematics
1 answer:
eimsori [14]3 years ago
5 0

Answer:

Correct answer:  h = 3/5  or y = 3/5

Step-by-step explanation:

Given:

h(x) = (3x² - 9x - 4) / (5x² - 4x + 8)

h = lim x -> ∞ (3x² - 9x - 4) / (5x² - 4x + 8) the numerator and denominator will be divided by x² and get

h = lim x -> ∞ (3 - 9(1/x) - 4 (1/x²)) / (5 - 4(1/x) + 8 (1/x²)

The terms 1/x and 1/x²  when x strives ∞ they strives 0

x -> ∞ ⇒ 1/x -> 0  and x -> ∞ ⇒ 1/x² -> 0

h = (3 - 0 - 0) / (5 - 0 + 0)

Horizontal asymptote is h = 3/5 or y = 3/5

God is with you!!!

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Which function corresponds to the table of inputs and outputs?
Anarel [89]

Answer:

f(x) = 3x + 2

Step-by-step explanation:

That's easy to find out.  You have your input number, which is your x value, and you have your output number which is your y value (or f(x)).

All you have to do is see if each of the proposed answer works for ALL entries in the data set.

f(x) = 3x + 2  

for x = 3 ===>  11 = 3 (3) + 2 = 11 YES

for x = 5 ===>  17 = 3 (5) + 2 = 17 YES

for x = 7 ===>  23 = 3 (7) + 2 = 23 YES

for x = 9 ===>  29 = 3 (9) + 2 = 29 YES

f(x) = 2x + 5  

for x = 3 ===>  11 = 2 (3) + 5 = 11 YES

for x = 5 ===>  17 = 2 (5) + 5 = 15 NO - we stop here for this function

f(x) = x + 7  

 for x = 3 ===>  11 = (3) + 7 = 10 NO - we stop here for this function

f(x) = 3x + 1

 for x = 3 ===>  11 = 3 (3) + 1 = 10 NO - we stop here for this function

7 0
3 years ago
Use the substitution method to sloved the systmem of equaions. Choose the correct order pair
vazorg [7]
X= 12 + y
So then plug in
12 + y + y = 12
2y=0
Y= 0
X + 0 = 12
X= 12
this is prob wrong lol but hopefully it helps
4 0
3 years ago
Tell if I was right, and I'll thank you and mark you as branliest
PtichkaEL [24]
It is my opinion that it is C) but i am not sure, you might be correct though...
8 0
3 years ago
Use the given values of n and p to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. Round to the nearest hund
lbvjy [14]

Answer:

μ−2σ = 1,089.26

μ+2σ = 1,097.62

Step-by-step explanation:

The standard deviation of a sample of size 'n' and proportion 'p' is:

\sigma=\sqrt{\frac{p*(1-p)}{n} }

If n=1139 and p =0.96, the standard deviation is:

\sigma=\sqrt{\frac{p*(1-p)}{n}}\\\sigma = 0.001836

The minimum and maximum usual values are:

\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n

\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62

5 0
3 years ago
Ill give brainliest to who ever answers these questions first
svetlana [45]
High blood pressure, high cholesterol, and smoking.
6 0
2 years ago
Read 2 more answers
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