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3 years ago

(a) Find the first 3 terms in ascending powers of x of the binomial expansion of (2+x/2)^6

Mathematics

1 answer:

Firdavs [7]3 years ago

3 0

Answer:(2+x/2)^6=64(1+3x/2+15x^2/16+5x^3/16+....) (2.05)^6=74.2203

Step-by-step explanation:

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If the numbers 4, 5 and 6 are each used exactly once to replace the letters in the expression A ( B − C ), what is the least pos

guapka [62]

Answer:

The least possible result is <em>-10</em>.

Step-by-step explanation:

Given the numbers 4, 5 and 6 are to be chosen one of the letters A, B or C.

First of all,

Let A = 4, B = 5 and C = 6

$A(B-C) = 4 \times (5-6) = 4 \times -1 = -4$

Let A = 4, B = 6 and C = 5

$A(B-C) = 4 \times (6-5) = 4 \times 1 = 4$

Let A = 5, B =4 and C = 6

$A(B-C) = 5 \times (4-6) = 5 \times -2 = -10$

Let A = 5, B = 6 and C = 4

$A(B-C) = 4 \times (6-4) = 4 \times 2 = 8$

Let A = 6, B = 4 and C = 5

$A(B-C) = 6 \times (4-5) = 6 \times -1 = -6$

Let A = 6, B = 5 and C = 4

$A(B-C) = 6 \times (6-5) = 6 \times 1 = 6$

Summarizing the above values in the form of a table:

$\begin{center}\begin{tabular}{ c c c c}A & B & C & A(B-C)\\ 4 & 5 & 6 & -4\\ 4 & 6 & 5 & 4\\ 5 & 4 & 6 & -10\\ 5 & 6 & 4 & 10\\ 6 & 4 & 5 & -6\\ 6 & 5 & 4 & 6\end{tabular}\end{center}$

So, the least possible result is <em>-10</em>.

3 0

3 years ago

The mean of 8 math quiz scores is 88. If the first seven scores are 85,70,92,85,91,100, and 88, what is the eighth quiz score? U

777dan777 [17]

Answer:

Step-by-step explanation:

The mean of a list of numbers is the sum of the numbers divided by the count of the numbers in the list.

In this case, representing the eighth score with x, the mean is (611+x)/8

Solving for the mean:

88=(611+x)/8

Multiply both sides by 8

8*88=611+x

704=611+x

704-611=x

x=93

3 0

3 years ago

Read 2 more answers

The sum of two integers is 21. Fifteen less than double the square of the smaller integer is equal to the larger

Salsk061 [2.6K]

Answer:

2x^2+x-36=0

(4,0)

2*4^2+4-15=21

Step-by-step explanation:

6 0

3 years ago

Write the fraction 8/9 as a percent. Round to the nearest hundredth of a percent where necessary.

irina1246 [14]

8/9 = .88888... = 88.89% after rounding

6 0

3 years ago

Using the variables 'x' and 'y', write an equation for the situation. The ticket sales equaled $2242. Adult tickets $250 and stu

Anna35 [415]

250x+2y=2242. That's what I think the answer is. X is for the adult and Y is for the students.

Hope this Helps! :)

5 0

3 years ago