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4 years ago

Express (x-9)^2 as trinomial in standard form

Mathematics

2 answers:

liq [111]4 years ago

7 0

= (x - 9)(x - 9)
= x(x - 9) - 9(x - 9)
= x^2 - 9x - 9x + 81
= x^2 - 18x + 81 Answer

Ray Of Light [21]4 years ago

5 0

${x}^{2} - 18x + 81$

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Oduvanchick [21]

3+3= 6

6+1= 7 is your answer

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3 years ago

A rare first-edition book is currently priced at $200. After one year, the price of the book is anticipated to be 1.15 times the

Yakvenalex [24]

Answer:

Graph Y is the correct answer

Step-by-step explanation:

after 1 year, the price would be $200 * 1.15 = $230

After 2 years, the price would be $230 * 1.25 = $264.5

As you can see, the graph X and Z do not start at $200 in the first year so it will be eliminated

The graph W show that after 2 years the price is $300 but the second year must have the price of $264.5 so the only option left is graph Y.

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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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3 years ago

Amanda, Betty, Cindy, Diana, and Emily share 35 balloons. How many balloons does each girl get?

OLga [1]

Answer:

Not being mean but you are in collage you should know this but here is the answer

Step-by-step explanation:

7 balloons to each girls because 7 times 5 = 35

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