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Rasek [7]
3 years ago
11

For any linear function f(x) = mx + b, when does kf(x) = f(kx)?

Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Only when <em>b</em> = 0 or <em>k</em> = 1<em>.</em>

If <em>f(x)</em> = <em>mx</em> + <em>b</em>, then

<em>f</em> (<em>kx</em>) = <em>m</em> (<em>kx</em>) + <em>b</em> = <em>mkx</em> + <em>b</em>

while

<em>k</em> <em>f(x)</em> = <em>k</em> (<em>mx</em> + <em>b</em>) = <em>kmx</em> + <em>kb</em>

The two expression are identical only if

<em>kb</em> = <em>b</em>   ===>   <em>kb</em> - <em>b</em> = 0   ===>   <em>b</em> (<em>k</em> - 1) = 0   ===>   <em>b</em> = 0 or <em>k</em> = 1

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The recursive rule for a sequence is shown.an=an−1+9a1=21 what is the explicit rule for this sequence?
bixtya [17]

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Meaning of Explicit rule , is the general rule for a sequence.

The given sequence is defined as,

a_{n}=a_{n-1}+9a_{1}-21----(1)

Common Difference(d) of an airthmetic Sequence= N th term - (N-1) th term

                                 =a_{n}-a_{n-1}\\\\=a_{n-1}-a_{n-2}                                            

Equation 1 can be written as,

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General rule or explicit rule for this sequence is given as:

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6 0
3 years ago
Kacey had 48 tickets for games at the school carnival. She used 1/3 of her tickets to play the spin-the-wheel game. She used hal
vovangra [49]

Answer:

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First, 1/3 of 48 is 16. So 48-16= 32. Usually, people think the remaining half is half of 48, but it's supposed to be half of 32. So half of 32 is 16. So Kacey used 32 tickets for those 2 games.

6 0
3 years ago
Read 2 more answers
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