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Serggg [28]
3 years ago
10

Find the 4th term of the expansion of (a - sqrt(2)) ^ 8

Mathematics
2 answers:
charle [14.2K]3 years ago
6 0

Answer:

Applying the binomial theorem

{\displaystyle (x+a)^{n}=\sum _{k=0}^{n}{n \choose k}x^{n-k}a^{k}}

Here we have x = -\sqrt{2}, n = 8,

=> 4th term (k = 3) would be:

{8 \choose 3}x^{8-3}a^{3}} = {8 \choose 3}(-\sqrt{2})^{5}a^{3}} = -224a^{3}\sqrt{2}

Hope this helps!

:)

vredina [299]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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Julio bought 12 bulbs of jumbo garlic for $11.88. How many bulbs of jumbo garlic can Anjali buy if she has $3.96?
Molodets [167]

Answer:

Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.

Step-by-step explanation:

To calculate how many bulbs of jumbo garlic Anjali can buy with $3.96, we must first calculate the unit rate of the jumbo garlic. Julio buying 12 bulbs of jumbo garlic for $11.88 can be represented as:

\frac{11.88}{12}

Divide the fraction by \frac{12}{12} to calculate the unit rate:

\frac{.99cents}{1bulb}

So if each bulb of garlic costs $0.99, which we can think of as being $1.00 at the moment, we could figure that Anjali's $3.96 would be closer to $4 than it is to $3, so let's multiply the unit rate by \frac{4}{4}:

\frac{.99}{1} × \frac{4}{4}=

\frac{3.96}{4}

Therefore, Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.

_

Check your work by dividing \frac{3.96}{4} by \frac{4}{4} to see if you will get your initial unit rate:

\frac{3.96}{4} ÷ \frac{4}{4} =

\frac{0.99}{1}

Therefore, our solution is correct!

7 0
3 years ago
Read 2 more answers
Please help!!! Is this correct????
ahrayia [7]

Answer:

yes

Step-by-step explanation:

Weight appears to be the independent variable, so will be graphed on the horizontal axis. Cost is the dependent variable, so will be graphed on the vertical axis.

5 0
3 years ago
What is the quotient of 905.8 and 0.2?​
alexdok [17]

Answer: 4529

Step-by-step explanation:

Hope it helps Have a good Day

Just divide it

6 0
3 years ago
What's the equation:
ElenaW [278]

Using shifting concepts, it is found that the function g is:

g(x) = -9x^2 - 198x - 1085

-------------------------

  • The parent function is f(x) = x^2.

-------------------------

  • Horizontally stretching a function by a factor of b is the finding f(\frac{x}{b}).
  • Thus, horizontally stretching by a factor of 1/3, we have:

g(x) = f(\frac{x}{\frac{1}{3}}) = f(3x) = (3x)^2 = 9x^2

-------------------------

  • Reflecting vertically is finding -f(x)
  • Reflecting horizontally is finding f(-x).

Thus:

g(x) = -9(-x)^2 = -9x^2

-------------------------

  • Translating a units to the left is finding f(x + a), thus:
  • Translating 11 units to the left is finding f(x + 11), thus:

g(x) = -9(x + 11)^2 = -9(x^2 + 22x + 121) = -9x^2 - 198x - 1089

-------------------------

  • Shifting a units up is finding f(x) + a, thus:
  • 4 units up is finding f(x) + 4, thus:

g(x) = -9x^2 - 198x - 1089 + 4 = -9x^2 - 198x - 1085

A similar problem is given at brainly.com/question/23325498

8 0
3 years ago
If 2/3x - 1=4, then x =?
Gala2k [10]
X=2/15

I 70% sure lol but I think that’s the correct answer
4 0
2 years ago
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