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3 years ago

Find the common difference of the arithmetic sequence.

Mathematics

1 answer:

kvv77 [185]3 years ago

4 0

The common difference is 1/5 since the sequence gets progressively higher by 1/5

-2 + 1/5 = -9/5 or - 1 4/5

etc ..

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State the domain and range of both the function and the inverse function. f(x) = 8 x + 8 f -1(x) = Domain of f(x): Range of f(x)

Katena32 [7]

Answer:

$f^{-1}(x) = \frac{x+8}{8}$

Domain of f(x): All real values.

Range of f(x): All real values.

Domain of f -1(x): All real values.

Range of f -1(x): All real values

Step-by-step explanation:

We are given the following function:

$f(x) = 8x + 8$

Since it is a line, we have that both the domain is the range is the real set.

Inverse function:

The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.

Finding the inverse function:

Exchange x and y in the original function, and isolate y. So

Original

$y = 8x + 8$

Exchanging:

$x = 8y - 8$

Isolating y:

$8y = x + 8$

$y = \frac{x+8}{8}$

$f^{-1}(x) = \frac{x+8}{8}$

5 0

3 years ago

Find the common differrence of the arithmectic sequence 6,9.4,12.8,16.2

defon

Common difference r will be the difference between next two values of number row, so we take e.g. second minus first: r=9.4-6=3.4. You can see, that this value is constant as we go through next pairs of values.

3 0

3 years ago

How many triangles can you draw with side lengths 2cm, 3cm, and 8cm?

serg [7]

Answer: 1 /How: 2x3x8=_ when u get tha answer u do 2+3+8=180 which would come to one.

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4 years ago

The sum of (a + b) + c is equal to the sum of a + ( b + c) as explained by the ————.

natima [27]

Answer:

It is distributive property

3 0