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3 years ago

F(x)= 6+ (10/x) what are the inflection points?

Mathematics

1 answer:

mojhsa [17]3 years ago

7 0

Answer:

An inflection point is a point on the graph of a function at which the concavity changes. Points of inflection can occur where the second derivative is zero.

Step-by-step explanation:

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What value is a permutation of n things taken r at a time divided by to get the combination of n things taken r at a time?

Lera25 [3.4K]

Answer:

A. r!

Step-by-step explanation:

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Permutation of n things taken r at a time

$P_{(n,r)} = \frac{n!}{(n-r)!}$

Combination of n things taken r at a time:

$C_{n,r} = \frac{n!}{r!(n-r)!}$

Division:

$\frac{P_{(n,r)}}{C_{n,r}} = \frac{\frac{n!}{(n-r)!}}{\frac{n!}{r!(n-r)!}} = \frac{n!}{(n-r)!} \times \frac{r!(n-r)!}{n!} = r!$

So the correct answer is:

A. r!

5 0

4 years ago

Determine whether the following polygons are similar. If yes, type 'yes' in the Similar box and type in the similarity statement

Artyom0805 [142]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Taylor plans to use $2100 to open a savings account with an annual interest rate of 1.85%. How much more interest will he earn o

Ymorist [56]

Taylor will earn $21 more in compounded interest than in simple interest.

Given:
Principal = 2100
interest rate = 1.85%
term = 8 years

Simple Interest = Principal * interest rate * term
= 2100 * 1.85% * 8
= 310.80

Compounded Interest = Principal * (1+r)^t
= 2100 * 1.0185⁸
= 2100 * 1.158
= 2431.80

Interest from Compounded Interest : 2431.80 - 2100 = 331.80

Simple Interest = 310.80
Compounded Interest = 331.80

331.80 - 310.80 = 21

6 0

3 years ago

Plsss help me with this question I’ll mark you

Andru [333]

Answer:

ITS B the second one, 3/2 x 8=12

Step-by-step explanation:

6 0

3 years ago

Halley’s comet has an elliptical orbit with the sun at one focus. The eccentricity of the orbit is approximately 0.97. The lengt

kherson [118]

so the sun is one of the foci, and we have an eccentricity of 0.97. So the ellipse will look more or less like the picture below.

$\bf \textit{ellipse, horizontal major axis}\\\\\cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1\qquad \begin{cases}center\ ( h, k)\\vertices\ ( h\pm a, k)\\c=\textit{distance from}\\\qquad \textit{center to foci}\\\qquad \sqrt{ a ^2- b ^2}\\eccentricity\quad e=\cfrac{c}{a}\end{cases}\\\\-------------------------------\\\\\begin{cases}h=0\\k=0\\a=35.88\\e=0.97\end{cases}\implies \cfrac{(x-0)^2}{35.88^2}+\cfrac{(y-0)^2}{b^2}=1\\\\-------------------------------$

$\bf e=\cfrac{c}{a}\implies 0.97=\cfrac{c}{35.88}\implies \boxed{34.8036=c} \\\\\\ c=\sqrt{a^2-b^2}\implies b=\sqrt{a^2-c^2}\implies b=\sqrt{35.88^2-34.8036^2} \\\\\\ \boxed{b\approx 8.72}\\\\ -------------------------------\\\\ \cfrac{(x-0)^2}{35.88^2}+\cfrac{(y-0)^2}{8.72^2}=1\implies \cfrac{x^2}{1287.3744}+\cfrac{y^2}{76.0384}=1$

5 0

4 years ago