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natali 33 [55]
3 years ago
13

Evaluate –x + (–7.5) for x = 6.3. A. –13.8 B. 13.8 C. 1.2 D. –1.2

Mathematics
2 answers:
GaryK [48]3 years ago
3 0
A. -13.8 just plug in the numbers -6.3-7.5=-13.8
omeli [17]3 years ago
3 0

Answer:

A.

Step-by-step explanation:

We have -x + (-7.5). With x = 6.3 we obtain

-(6.3) - 7.5 = -6.3-7.5 = -13.8

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1/1×3 + 1/3×5 + ... + 1/47×49 HELP PLZ
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Answer:

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Step-by-step explanation:

Let's add the terms and see if there's a pattern

  \dfrac{1}{1\times 3}+\dfrac{1}{3\times 5}=\dfrac{5+1}{1\times 3\times 5}=\dfrac{2}{5}\quad\text{sum of 2 terms}\\\\\dfrac{2}{5}+\dfrac{1}{5\times 7}=\dfrac{14+1}{5\times7}=\dfrac{3}{7}\quad\text{sum of 3 terms}

Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...

  \dfrac{n}{2n+1}+\dfrac{1}{(2n+1)(2n+3)}=\dfrac{n(2n+3)+1}{(2n+1)(2n+3)}=\dfrac{2n^2+3n+1}{(2n+1)(2n+3)}\\\\=\dfrac{(2n+1)(n+1)}{(2n+1)(2n+3)}=\dfrac{n+1}{2n+3}\text{ matches }\dfrac{(n+1)}{2(n+1)+1}

Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...

  S_{24}=\dfrac{24}{2\times24+1}=\boxed{\dfrac{24}{49}}

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