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3 years ago

Match the mathematical term with the correct definition.

Mathematics

1 answer:

vladimir1956 [14]3 years ago

6 0

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Is this a function. ?

lisabon 2012 [21]

Answer:

Yes

Step-by-step explanation:

A function is a relation where each input has only one output

The table shown follows this, each input has only one output, therefore it is a function.

8 0

2 years ago

Read 2 more answers

Use a factor tree to find the prime factorizations of 96. Write the prime factorizations using exponents. 1.2^3•6^2. 2.2^5•4^2.3

dezoksy [38]

$Look\ at\ the\ picture:\\\\96=2\times2\times2\times2\times2\times3=\boxed{2^5\cdot3}\leftarrow\ answer\ \boxed{3.\ 2^5\cdot3}$

4 0

2 years ago

16 plus 5 times a number is more than the number minus 8. Write an inequality and solve it

Radda [10]

n > -6 is the inequality for 16 plus 5 times a number is more than the number minus 8

<em><u>Solution:</u></em>

Given statement is:

16 plus 5 times a number is more than the number minus 8

We have to write a inequality

From given statement,

16 plus 5 times a number is more than the number minus 8

Let the number be "n"

Therefore,

16 plus 5 times "n" is more than "n" minus 8

Here, "plus" means addition and "minus" means subtraction and "times" means multiplication

Thus the statement is translated into inequality as:

$16 + 5n >n-8$

Simplify the inequality

$16 + 5n >n-8\\\\\mathrm{Subtract\:}16\mathrm{\:from\:both\:sides}\\\\16 + 5n -16 > n - 8 -16\\\\5n >n-24\\\\\mathrm{Subtract\:}n\mathrm{\:from\:both\:sides}\\\\5n-n>n-24-n\\\\\mathrm{Simplify}\\\\4n>-24\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4n}{4}>\frac{-24}{4}\\\\n>-6$

Thus the soultion is n > -6

8 0

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

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

5 0

2 years ago

Find the slope of a line

Dvinal [7]

Answer:

1 is the slope.

Step-by-step explanation:

I did this math question on edge.

8 0

2 years ago