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3 years ago

Select the correct answer. Which statement is true about this equation? y = –3x^2+ 4x - 11

Mathematics

1 answer:

USPshnik [31]3 years ago

3 0

9514 1404 393

Answer:

a. It represents both a relation and a function

Step-by-step explanation:

The expression on the right is a polynomial of degree 2.

Any polynomial in a single variable is a function.

Any function is a relation.

So, ...

it represents both a relation and a function

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3 years ago

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Answer:

Step-by-step explanation:

8x + 15 = 24

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Find the probability. Round your answer to the nearest hundredth, if needed.

padilas [110]

Answer:

0.2

Step-by-step explanation:

Given:

Total number of students = 20

Number of students who have brown hair = 12

Number of students who have blonde hair = 4

Number of students who have red hair = 3

Number of students who have black hair = 1

To find:

Probability of randomly selecting a blonde-haired student from the classroom.

Solution:

Probability refers to chances of occurring of some event.

Probability = Number of favourable outcomes/ Total number of outcomes

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Total number of outcomes = 20

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Probability of randomly selecting a blonde haired student from the classroom = $\frac{4}{20}=\frac{1}{5}=0.2$

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3 years ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

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Answer:

ikakagalit ba ni phrasa kung para sakin ka<33

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