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3 years ago

Please someone help me with this I am very confused

Mathematics

1 answer:

Elis [28]3 years ago

4 0

$8 \sqrt{3} *4 \sqrt{15} = 8*4 \sqrt{3*15} \\ \\ 32 \sqrt{45} = 32 \sqrt{9*5} =32*3 \sqrt{5} \\ \\ = 96 \sqrt{5} 
$

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Write in standard form: 22.2 x 10^5

garri49 [273]

2220000

it just means that 22.2 needs to be multiplied by 10, 5 times, so just move the decimal five to the right.

3 0

3 years ago

3x2 - 5x + 6) + (9 - 8x - 4x2)

Ksju [112]

Answer:

13-13x

Step-by-step explanation:

3*2=6

(6-5x+6) + (9-8x-8)

Combine Like Terms

(12-5x) + (1-8x)

Put x on one side and numbers on the other.

(12+1) + (-5x+ (-8x))

13-13x

8 0

3 years ago

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

What is the inverse of the logarithmic function<br> f(x) = log₂x?

Shtirlitz [24]

Answer:

An exponential function.

$f(y)=g^{y}$

Step-by-step explanation:

The inverse of the logarithmic function is an exponential function.

6 0

2 years ago

CAN SOMEONE HELP?????????

ivann1987 [24]

The median (half-above and half-below) could not have changed, because "corrected value was still lower than any other salary" does not change the position of that observation (still least) in the sorted list of salaries.

6 0

3 years ago

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