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2 years ago

Graph the function.

Mathematics

2 answers:

liubo4ka [24]2 years ago

5 0

The answer is totally D

kap26 [50]2 years ago

4 0

Answer:

The correct option is D.

Step-by-step explanation:

If a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

From the given graph it is clear that the line is passing through the points (-1,2) and (0,-1), so the equation of line is

$y-2=\frac{-1-2}{0-(-1)}(x-(-1))$

$y-2=-3(x+1)$

$y-2=-3x-3$

$y=-3x-3+2$

$y=-3x-1$

The correct formula for the function is y=-3x-1, therefore the correct option is D.

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Determine if the following infinite series converges or diverges

Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

$\sum_{k = 0}^{\infty} f(k)$

Then we have to calculate the following limit:

$\lim_{k \rightarrow \infty} f(k)$

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

$f(k) = \frac{k^3}{k^4 + 10}$

Hence the limit is:

$\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0$

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

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1 year ago

Read 2 more answers

Which expression is equivalent to 4 square root 6 divided by 3 root 2?

saw5 [17]

Answer:

$\sqrt[12]{55296}$ /2

Step-by-step explanation:

$\sqrt[4]{6}$ / $\sqrt[3]{2}$ =1.2422

$\sqrt[12]{27}$ /2=0.66 <-- not matching with the top expression.

$\sqrt[4]{24}$ /2=1.11<--not matching with the top expression.

$\sqrt[12]{55296}$ /2=1.2422<-- matches!!

$\sqrt[12]{177147}$ /3=0.91<-- not matching with the top expression.

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2 years ago

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