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 Here are two functions: f(x) & = & 3x^2-2x+ 4 and g(x) & = & x^2-kx-6. If f(10) - g(10) = 10, what is the value of k

Thanks in advance

 Sep 15, 2019
 #1
avatar+2390 
+1

Here is my hint:

 

Plug in 10 for x, for the equation f(x).

 

Then plug in 10 for x, for th equation g(x)

 

You equation should be something like this:

 

(3(10^2) - 2(10) + 4) - 10^2 - 10k -6 =10

 

Solve for k

 Sep 15, 2019
 #2
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srry the answer is not 84/5 thanks anyways :)

Guest Sep 15, 2019
 #3
avatar+104911 
+2

f(x)  = 3x^2 - 2x + 4

g(x) = x^2 - kx - 6

 

f(10)  =  3(10)^2 - 2(10) + 4  =  284

g(10)  =  (10)*2 - 10k - 6  =  100 - 6 - 10k  =  94 - 10k

 

f(10) - g(10)    = 10    ....so....

 

284  - [94 - 10k]  =  10

 

190 + 10k  =  10

 

10k  = -180

 

k = -18

 

 

cool cool cool

 Sep 15, 2019
 #4
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Thank you SO much :)

Guest Sep 16, 2019

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