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lisabon 2012 [21]
3 years ago
8

Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie’s cat. Together, the cat and the kitten

weigh 18 pounds. Which system of equations could be used to find the weight of each animal?
Let K = Kitten and C = Callie the Cat

A) K= 1/2C-3
K+C=18

B) K= 1/2C+3
K-C=18

C) K= 1/2C+3
K= -C+18

D) K= 1/2C-3
C - K=18
Mathematics
2 answers:
scoundrel [369]3 years ago
7 0
A) K=1/2C-3
K+C=18

Hope this helps! Have a great day :)
pantera1 [17]3 years ago
3 0

Answer:

A) K=1/2C-3

K+C=18

Step-by-step explanation:

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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}
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3 years ago
PLEASE HELP<br> 2. If f(x) = 3x2 – 7x + 2, then f(- 1) = ?<br> (A) 18<br> B. 12<br> C.-2<br> D.-8.
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Step-by-step explanation:

f(x) = 3x2 – 7x + 2

f(- 1) = ?

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     =3+7+2

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