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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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13 1/10-7 9/10<br><br> i need help
a_sh-v [17]

Answer:

52/ 10 = 5 2/10 or 5 1/5

Step-by-step explanation:

first turn the mixed fractions into improper fraction

13 1/10= 131/10

7 9/10= 79/10

since the two fractions already have a common denominator just subtract

131 - 79 = 52

52/ 10 = 5 2/10 or 5 1/5

4 0
3 years ago
Read 2 more answers
Consider the toss of four coins. There are 16 (i.e., 24) possible outcomesin one toss. (a)Calculate the probabilities that there
lana [24]

Answer:

See answers below

Step-by-step explanation:

If 4 coins are tossed. the total possible outcomes are;

H H H H , H H H T, H H T H, H T H H, T H H H , H H T T, H T T H, T T H H, H T H T, T H T H, T H H T , H T T T, T H T T, T T H T, T T T H  and T T T T

Total outcomes = 16

1) zero head = T T T T = 1 outcome

Probability = Expected/Total outcome

Pr(zero head) = 1/16

2) one head = H T T T, T H T T, T T H T, T T T H   = 4 outcomes

Probability = Expected/Total outcome

Probability = 4/16

Pr(one head) = 1/4

3) two heads = H H T T, H T T H, T T H H, H T H T, T H T H, T H H T   = 6 outcomes

Probability = Expected/Total outcome

Pr(two head) = 6/16

Pr(two head) = 3/8

4)  three heads = H H H T, H H T H, H T H H, T H H H   = 4 outcomes

Probability = Expected/Total outcome

Pr(three heads) = 4/16

Pr(two head) = 1/4

5) four heads appearing on the four coins =  H H H H = 1 outcome

Pr(four heads) = 1/16

6 0
3 years ago
The school band has 115 members. They are raising money for band camp. If each member raises $75, what is the total amount of mo
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Answer:

a. $8625

Step-by-step explanation:

So there are 115 members and they each raise $75.

That means one member would raise $75, the second member would raise another $75, the third would raise another $75 etc....

So you just have to multiply 115 and 75 together and that gives you $8625

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3 years ago
Write a response to the following using Claim, Evidence, Reasoning.
Bess [88]

Answer:

The answer is A 21

Step-by-step explanation:

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3 years ago
If f(x)=3x^2+2×=1 find f(x+2)​
harkovskaia [24]

Answer:

f(x+2) = 3(x+2)^2 + 2(x+2 + 1

Step-by-step explanation:

you need to replace the x with x+2

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