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3 years ago

Find the asymptotes of the following functions

Mathematics

1 answer:

AlexFokin [52]3 years ago

3 0

Answer:

a) y = -6/x has a vertical asymptote at x = 0

b) y = 1/(2·x) - 1 has two asymptotes;

1) A vertical asymptote at x = 0

2) A horizontal asymptote at y = -1

Step-by-step explanation:

The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity

a) The given equation is y = -6/x

Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0

b) The given equation is y = 1/(2·x) - 1

∴ y = (1 - 2·x)/(2·x)

The function has a vertical asymptote at x = 0

The function has an horizontal asymptote at y = -2/2 = -1

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Jeremiah went to the grocery store and bought a soda for $2 and 6 sandwich costing, x dollars. The tax on the food was a 25% inc

mrs_skeptik [129]

<h3>Answer:</h3>

A) 1.25(2 +6x)
B) $40

<h3>Step-by-step explanation:</h3>

A) Let's first consider the effect of the tax:

total payment = (food cost) + 25% × (food cost) = (1 + 0.25)×(food cost)

If the cost of a sandwich is x dollars, the cost of 6 sandwiches will be 6 times that, or 6x dollars. When the $2 cost of the soda is added, we get ...

food cost = 2 + 6x

Putting this into the equation for total payment, we find the expression to be ...

total payment = 1.25(2 +6x)

_____

B) Evaluating the expression for part A with x=5, we get ...

total payment = 1.25(2 +6·5) = 1.25·32 = 40 . . . . dollars

5 0

4 years ago

Drag each tile to the correct box. Not all tiles will be used.

german

Answer:

P=$880,I=$92.40

P=$675,I=$94.50

P=$770,I=$96.79

Step-by-step explanation:

Simple interest rate is the interest eared on principal amount only over time:

$I=PRT$

#$880 at 5.25% for 2 years

$I=PRT, P=880, R=0.0525, T=2\\\\=880\times 0.0525\times 2\\\\=92.4$

Hence, the interest earned is $92.40

#$675 at 3.5% for 4 years:

$I=PRT, P=675, R=0.035, T=4\\\\=675\times 0.035\times 4\\\\=94.5$

Hence, the interest earned is $94.50

#$770 at 4.19 for 3 years:

$I=PRT, P=770, R=0.0419, T=3\\\\=770\times 0.0419\times 3\\\\=96.79$

Hence, the interest earned is $96.79

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3 years ago

What does solution mean in math

yanalaym [24]

Answer:

the act or process of forming a solution. the state of being dissolved (esp in the phrase in solution) a mixture of two or more substances in which one or more components are present as small particles with colloidal dimension; colloida colloidal solution. a specific answer to or way of answering a problem.

( I hope this was helpful) >;D

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3 years ago

Find the complete factored form of the polynomial -24a6b4-40a3

Naddik [55]

For this case we have the following polynomial:

$-24a ^ 6b ^ 4-40a ^ 3$

We must find the greatest common factor of the terms of the polynomial.

The GCF of the coefficients is given by:

$24 = 3 * 8\\40 = 5 * 8$

Then we look for the GFC of the variables:

We have then:

$a ^ 6 = a ^ 3a ^ 3\\a ^ 3 = a ^ 3$

Finally rewriting we have: $-24a ^ 6b ^ 4-40a ^ 3 = -8a ^ 3 (3a ^ 3b ^ 4 + 5)$

Answer:

the complete factored form of the polynomial is:

$-8a ^ 3 (3a ^ 3b ^ 4 + 5)$

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3 years ago

A pollster walks around a busy shopping mall, and approaches people passing by to ask them how often they shop at the mall. What

Brums [2.3K]

Answer:Convenience sampling

Step-by-step explanation:

This type of sample refers to convenience sampling or grab sampling or accidental sampling.

Convenience sampling is a non-probability type sampling that includes the population which is nearby or available in your zone.

This type of sampling is handy when you need to know about a particular data in less time .Although the result may be somewhat biased because of a certain type of population may exist close to you.This method is most useful for Pilot testing.

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3 years ago

Read 2 more answers