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Serjik [45]
3 years ago
5

Consider the function represented by the equation 1/2 J + 1/4 k equals 3 which shows the equation written in function notation w

ith K as the independent variable
Mathematics
2 answers:
Kobotan [32]3 years ago
7 0

we have

\frac{1}{2} J+\frac{1}{4} K=3

Step 1

<u>Solve for J </u>

\frac{1}{2} J+\frac{1}{4} K=3

Multiply by 2 both sides

2*\frac{1}{2} J+2*\frac{1}{4} K=2*3

J+\frac{1}{2} K=6

Subtract \frac{1}{2} K both sides

J+\frac{1}{2} K-\frac{1}{2} K=6-\frac{1}{2} K

J=6-\frac{1}{2} K

Step 2

<u>Convert the equation in function notation</u>

Let

f(k)=J

f(k)=6-\frac{1}{2} K

f(k)=-\frac{1}{2} K+6

therefore

<u>the answer is</u>

f(k)=-\frac{1}{2} K+6

Oksana_A [137]3 years ago
4 0
F(k) = -1/2k + 6

You can get this by solving for J and then using f(k) in its place. 
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Answer:

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Step-by-step explanation:

we know that

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y=a(x-h)^{2}+k

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if a< 0 then the parabola open downward (vertex is a maximum)

In this problem we have

y=x^{2}+8x-21

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Complete the square

y+21=x^{2}+8x

y+21+16=(x^{2}+8x+16)

y+37=(x^{2}+8x+16)

y+37=(x+4)^{2}

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Sphinxa [80]

Answer:

\frac{2}{5}

Step-by-step explanation:

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Nesterboy [21]

Answer:

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