3 years ago

3. Find the missing value. a. The mean is 8: b. 5, 11, 9, 7, 6, X

Mathematics

1 answer:

kkurt [141]3 years ago

6 0

Answer:

x= 10 The missing value is 10

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9^6 = x^3 x9^3 solve for x

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Answer:

x = 9

Step-by-step explanation:

${9}^{6} = {x}^{3} \times {9}^{3}$

${9}^{6} = 729 {x}^{3}$

${x}^{3} = \frac{ {9}^{6} }{ {9}^{3} }$

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3 years ago

What is the eighth term in the sequence x+3, - 2x^2 - 6x, 4x^3 +12x^2

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Answer:

$a_8=-128x^8-384x^7$

Step-by-step explanation:

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$x+3,-2x^2-6x,4x^3+12x^2,...$

We can rewrite the terms in factored form to get;

$x+3,-2x(x+3),4x^2(x+3),...$

We can see that the subsequent terms are obtained by multiplying the previous term by $-2x$ . This is called the common ratio.

Therefore the first term of this geometric sequence is $a_1=x+3$ and the common ratio is $r=-2x$ .

The nth term of a geometric sequence is given by: $a_n=a_1(r^{n-1})$ .

Let us substitute the first term, the common ratio, and $n=8$ to obtain:

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$a_8=(x+3)(-2x)^{7}$

$a_8=-128x^7(x+3)$

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3 years ago

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