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seraphim [82]
3 years ago
10

A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $25. The total cost to re

nt 8 chairs and 4 tables is $53. What is the cost to rent each chair and each table? please help
Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0
I think 6,50 each, I got this by adding 25.00 and 53.00 and then I added the amount of chairs and tables together and divided the two answers to get my 6.50 each
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Find the first three terms in the expansion , in ascending power of x , of (2+x)^6 and obtain the coefficient of x^2 in the expa
Nataly_w [17]

Answer:

The first 3 terms in the expansion of (2 + x)^{6} , in ascending power of x are,

64 , 192 \times x^{1} {\textrm{  and  }}240 \times x^{2}

coefficient of x^{2} in the expansion of (2+x - x^{2})^{6} = (240 - 192) = 48

Step-by-step explanation:

(2+x)^{6}

= \sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})

= 6_{C_{0}} \times x^{0} \times 2^{6}  + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4} + terms involving higher powers of x

= 64 + 192 \times x^{1} + 240 \times x^{2} + terms involving higher powers of x

so, the first 3 terms in the expansion of (2 + x)^{6} , in ascending power of x are,

64 , 192 \times x^{1} {\textrm{  and  }}240 \times x^{2}

Again,

(2+x - x^{2})^{6}

= \sum_{k=0}^{6}(6_{C_{k}} \times (2 + x)^{k} \times (-x^{2})^{6 - k})

Now, by inspection,

the term x^{2} comes from k =5 and k = 6

for k = 5, the coefficient of  x^{2}  is , (-32) \times 6 = -192

for k = 6 , the coefficient of x^{2} is, 6_{C_{2}} \times 2^{4} = 240

so,   coefficient of x^{2} in the final expression = (240 - 192) = 48

3 0
2 years ago
Can anyone help with only #1 please, will give you brainliest!!
Tresset [83]

No, it is <u>not</u> a translation. The arrow starts pointing to the right and then points upward. A translation would have the arrow always pointing right the entire time, only that its position would move.

====================================================

Problem 2

We can shift the K up 6 units to get what you see in the attached image below

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3 years ago
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QveST [7]

I think it's less than 7/2 usually bigger numbers are less in this case.

sorry if you got that wrong but i'm 85% sure

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romanna [79]

Answer:

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Step-by-step explanation:

x=5

72+72+18(5)+9+18 (5)+9=342

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