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andriy [413]
3 years ago
7

What is the horizontal asymptote of f(x)=-2x/x+1 A.-2 B.-1 C.0 D.1

Mathematics
2 answers:
Mrrafil [7]3 years ago
7 0
A horizontal asymptote of a function f(x) is given by y = lim f(x) as x --> ∞ and x --> –∞. In this case, 
\lim_{x \to \infty}  \frac{-2x}{x+1} = \lim_{x \to \infty}  \frac{-2x}{x(1+ \frac{1}{x} )}\\
=\lim_{x \to \infty}  \frac{-2}{1+ \frac{1}{x} }\\
= -2


Thus, the horizontal asymptote of f(x) is y = –2.
VMariaS [17]3 years ago
3 0

Answer:

-2

Step-by-step explanation:

just took the test

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A farmer has 3/4 acre of land. He will use all the land and plant different vegetables in 1/16 -acre sections. How many sections
kati45 [8]

Answer: 12 sections of 1/16 acre

Step-by-step explanation:

We want to find how many sections of 1/16 acre we can have in a total area of 3/4 acre.

This is equal to the quotient between 3/4 and 1/16

Remember that if we have two rational numbers (a/b) and (c/d) the quotient can be writen as:

(a/b)/(c/d) = (a/b)*(d/c) = (a*d)/(b*c)

The quotient we want to solve is:

(3/4)/(1/16) = (3/4)*(16/1) = (3*16)/4 = 12

Then you can have 12 sections of 1/16 acre

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What is the monthly payment for a 10 year loan paid monthly for 10 years where the amount of the loan is $80,000 and the annual
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Read 2 more answers
Can someone help me solve this please, I'm stuck.
salantis [7]

The expression (3a + 2b)^7 is a binomial expression;

The coefficient of the fourth term is 15120

<h3>How to determine the coefficient fourth term?</h3>

The equation is given as:

(3a + 2b)^7

The above expression is a binomial expression;

Assume the expression is:

(x + y)^n

The equation of the expansion is:

(x + y)^n = ^nC_r * x^{n-k} * y^k

When the expression is expanded, the parameters of the fourth term are

n = 7

r = 4

x = 3a

y = 2b

So, we have:

(3a + 2b)^7 = 7C4 * (3a)^(7-4) * (2b)^4

Evaluate each factor

(3a + 2b)^7 = 35 * (3a)^3 * (2b)^4

Evaluate the powers

(3a + 2b)^7 = 35 * 27a^3 * 16b^4

Evaluate the product

(3a + 2b)^7 = 15120a^3b^4

The coefficient of the above expression is 15120

Hence, the coefficient of the fourth term is 15120

Read more about binomial expressions at:

brainly.com/question/13602562

8 0
2 years ago
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