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blsea [12.9K]
3 years ago
15

1) Find the mean. 14, 2, 12, 11,2, 14, 3, 2, 12 A) 2 B) 8 C) 11 D)

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

8

Step-by-step explanation:

Add all the numbers and then divide them by how many numbers there are.

(14 + 2 + 12 + 11 + 2 + 14 + 3 + 2 + 12) = 72

72/9 = 8

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PLEASE HELP!!!!! Factor completely 16x8 − 1
Delvig [45]

Answer:

see explanation

Step-by-step explanation:

This is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

16x^{8} = ( 4x^{4} )² ⇒ a = 4x^{4}

1 = 1² ⇒ b = 1

Hence

16x^{8} - 1

= (4x^{4} )² - 1²

= (4x^{4} - 1)(4x^{4} + 1)

4x^{4} - 1 ← is also a difference of squares and factors as

(2x² - 1)(2x² + 1)

Thus

16x^{8} - 1

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statuscvo [17]

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3 years ago
What is the inverse of the function g(x) = x^3/8 + 16 ?
lesya692 [45]

Answer:

\hookrightarrow \: { \rm{f(x) =  \frac{ {x}^{3} }{8}  + 16}} \\

• let f(x) be m:

{ \rm{m =  \frac{ {x}^{3} }{8}  + 16}} \\

• make x the subject of the function:

{ \rm{8m =  {x}^{3}  + 128}} \\  \\ { \rm{ {x}^{3} = 8m - 128 }} \\  \\ { \rm{ {x}^{3} = 8(m - 16) }} \\  \\ { \rm{x =  \sqrt[3]{8}  \times  \sqrt[3]{(m - 16)} }} \\  \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}

• therefore:

{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\

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3 years ago
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The answer is 68!!!!!!!!!
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