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3 years ago

What facts are true for the graph of the function listed below? Please check all that apply.

Mathematics

2 answers:

Julli [10]3 years ago

8 0

Answer:

$\Large \boxed{\mathrm{A , \ B, \ and \ E}}$

Step-by-step explanation:

$F(x)=2 \cdot 5^x$

There are no restrictions on x. The domain is all real numbers.

To find the y-intercept, we set the x value to 0. The y-intercept of the function is (0, 2).

The function is increasing, because as the value of the input increases, the value of the output increases as well.

lana [24]3 years ago

6 0

Answer:

E, B, A,

Step-by-step explanation:

C is wrong because it isn't decreasing

D is wrong because if X=0 the 5 to the power of zero would be 1 and 2*1= 2 meaning y goes lower than 5

F is wrong because if X=0 the 5 to the power of zero would be 1 and 2*1= 2 meaning the y intercept is 2 not 5

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Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1

defon

I'm guessing the series is supposed to be

$\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}$

By the ratio test, the series converges if the following limit is less than 1.

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|$

The first $n$ terms in the numerator's denominator cancel with the denominator's denominator:

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|$

$|x^n|$ also cancels out and the remaining factor of $|x|$ can be pulled out of the limit (as it doesn't depend on $n$ ).

$\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0$

which means the series converges everywhere (independently of $x$ ), and so the radius of convergence is infinite.

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A team of rum runners is needed to run a 1/4 mile relay race if each runner must run 1/16 mile how many runners will be needed

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2 years ago

A cereal box is 8 in by 2in by 12in what is the surface area.

LUCKY_DIMON [66]

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2 years ago

Wich expression best estimates - 18 1/4 divided by 2 2/3

yKpoI14uk [10]

-18/3

18/(-3)

<h2>Explanation:</h2>

The complete question is as follows:

________________________________________________

Which expression best estimates -18 1/4 divided by 2 2/3?

18/3

-18/3

-18/(-3)

18/(-3)

________________________________________________

So in this exercise, we have two mixed fractions. This type of fractions comes from the combination of a whole number and a proper fraction fraction (numerator less than denominator). In order to solve this problem, we need to transform these mixed fractions into improper fractions (numerator greater than denominator). So:

$-18 \frac{1}{4}=-\left(18+\frac{1}{4}\right) \\ \\ Cross \ Multiplication\ -\left(\frac{18\times4+1}{4}\right) \\ \\ Solving \ numerator \ -\frac{72+1}{4} \\ \\ Simplifying \ -\frac{73}{4}$

$2 \frac{2}{3}=2+\frac{2}{3} \\ \\ Cross \ Multiplication\ \frac{2\times 3+2}{3} \\ \\ Solving \ numerator \ \frac{6+2}{3} \\ \\ Simplifying \ \frac{8}{3}$

By dividing:

$\frac{-\frac{73}{4}}{\frac{8}{3}} \\ \\ It's \ the \ same \ as: \\ \\ -\frac{73\times 3}{8\times 4}=-\frac{219}{32} \approx -6.84$

<em>So the expressions that best estimates -18 1/4 divided by 2 2/3 are:</em>

<em>Whose value in decimal form is -6.0</em>

<h2 /><h2>Learn more:</h2>

Estimate the distance between cities: brainly.com/question/12062666

#LearnWithBrainly

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