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3 years ago

Which graph represents the solution set of y = x2 − 4 and x + y + 2 = 0?

Mathematics

1 answer:

statuscvo [17]3 years ago

8 0

Answer:

Graph of solutions of:

y = x^2 -4 (red)

x + y + 2 = 0 (purple)

Step-by-step explanation:

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At a clothing store, Ted bought 4 shirts and 2 ties for a total price of $95. At the same store, Stephen bought 3 shirts and 3 t

zepelin [54]

Answer:

$19.50

Step-by-step explanation:

We can turn these into equations by making the shirts 's' and the ties 't'.

4s+2t=95 and 3s+3t=84

Now we can solve the system of equations with substitution.

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3 years ago

The reciprocal of 1/2

12345 [234]

Answer:

Step-by-step explanation:

When you "flip" the fraction, switching the numerators and denominators, you get 2/1 which is just 2.

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Seven and fifty-one thousands in numbers

mihalych1998 [28]

51,007.

If you want it is thousandths,

7.051.

Bye!

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3 years ago

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How many hours is 10 percent of 24 hours

Ne4ueva [31]

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3 years ago

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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