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Rina8888 [55]
3 years ago
11

Find the vertical asymptote(s) of f of x equals quantity 5 x squared plus 3x plus 6 end quantity over quantity x squared minus 1

00.
x = −5, 10
x = −10, 10
x = 5, −10
x = −5, 5
Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

x = 10 and x = -10

Step-by-step explanation:

Given the function

f(x)=\dfrac{5x^2+3x+6}{x^2-100}

This function is undefied when the denominator equals to 0. Find these values for x:

x^2-100=0\\ \\(x-10)(x+10)=0\\ \\x-10=0\ \ \text{or}\ \ x+10=0\\ \\x=10\ \ \text{or}\ \ x=-10

This means that vertical lines x = 10 and x = -10 are vertical asymptotes (the graph of the function f(x) cannot meet these lines because this function is undefined at x = 10 and x = -10)

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Data consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among
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Answer:

a) X[bar]₁=  1839.20 cal

b) X[bar]₂= 1779.07 cal

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Step-by-step explanation:

Hello!

You have two independent samples,

Sample 1: n₁= 15 children that did not eat fast food.

Sample 2: n₂= 15 children that ate fast food.

The study variables are:

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c)

To calculate the sample standard deiation, you have to calculate the sample variance first:

S₁²= \frac{1}{n_1-1}[∑X₁² - (( ∑X₁)²/n₁)]= \frac{1}{14} + [52829538 - (\frac{27588^{2} }{15}) = 149263.4571 cal²

S₁= 386.35 cal

I hope it helps!

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