suneetarednam
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The function h is defined by h(x)=(20x−k)÷x+50, where k is a constant. Find k, if the value of ℎ at x=20 is equal to 65.


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Respuesta :

calculista

Answer:

The value of k is [tex]K=100[/tex]

Step-by-step explanation:

we know that

[tex]h(x)=\frac{20x-k}{x}+50[/tex]

we have

[tex]x=20\\ h(20)=65[/tex]

substitute in the function and solve for k

[tex]65=\frac{20(20)-k}{20}+50[/tex]

[tex]65-50=\frac{400-k}{20}[/tex]

[tex]15=\frac{400-k}{20}[/tex]

[tex]15*20=400-k[/tex]

[tex]300=400-k[/tex]

[tex]k=400-300=100[/tex]

nrajpal

Answer:

K=100

Step-by-step explanation:

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