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kirill [66]
3 years ago
15

If f is a linear function, f(k)=16 and f(-k)= -4 then what is the value of f(0)?​

Mathematics
1 answer:
ira [324]3 years ago
3 0

f(0) =  ( f(k) +f(-k) ) / 2

f(0) = (16 - 4) / 2

f(0) = 12 / 2

f(0) = 6  → ANSWER

*Remember that f(0) = m(0) + n = n

If we have f(x) = mx + n, then:

f(k)= mk + n     and       f(-k)= -mk + n

If we add them:

  f(k) + f(-k)

= mk + n -mk + n

= 2n

= 2f(0)

So we conclude that:

f(0) = [f(k) + f(-k)] / 2

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Step-by-step explanation:

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6 0
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Read 2 more answers
***I NEED HELP ASAP*** <br> ***Please show all the steps***<br> ***I will mark brainliest***
mixer [17]

Answer:

First on is 0.75

Second is 22/52 (not sure about this one though)

Step-by-step explanation:

For the first one:

P(aUb) = p(a) + p(b) - p(a^b)

0.6 = 0.4 + 0.5 - p(a^b)

p(a^b) = 0.3

P(a/b)= p(a^b)/p(a)

P(a/b)= 0.3/0.4

P(a/b)= 0.75

For the second one:

Total of the cards are 52

Diamonds are 13 out of that 52

Face cards are 12 out of that 52

Diamond OR face cards means p(aUb)

And that equals p(a)+p(b)-p(a^b)

p(a^b) means the intersection between the two, there are three common cards between diamonds and face cards, so p(a^b)=3

13/52 + 12/52 - 3/52= 22/52

3 0
3 years ago
$1950 plus 15% is what
Fudgin [204]
15% of 1950 = 1950 * 0.15 = 292.5
So, sum would be: 1950 + 292.5 = 2242.5

In short, Your Answer would be $2242.5

Hope this helps!
6 0
3 years ago
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