f(x)=610x^2-10,250x+1,235 determine the max or min and write answer as a coordinate????

- anonymous

f(x)=610x^2-10,250x+1,235 determine the max or min and write answer as a coordinate????

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- Mertsj

I see it has a minimum. Do you see that?

- anonymous

yes because it's postive right

- Mertsj

Yes.

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- Mertsj

And that minimum is the vertex. Right?

- anonymous

right

- Mertsj

And the x coordinate of the vertex can easily be found because we know that x = -b/2a
Right?

- anonymous

right

- anonymous

oh by the way it says x=.28 and then it says to determine the min and write as coordinate, idk if .28 makes any difference

- Mertsj

And -b/2a= 10250/1220=8.40

- Mertsj

Maybe you'd better post the entire problem.

- anonymous

ok hold on

- anonymous

evaluate each expression below for x=.28. determine the max or min of f(X)=610x^2-10250x+1235. write answer as a coordinate.

- Mertsj

Ok. We can do that at the end. Right now we're in the middle of finding the vertex. So do you agree that the x coordinate of the vertex is 8.40?

- anonymous

yes i agree

- Mertsj

So now we can find the y coordinate of the vertex by replacing x with 8.40 and evaluating the expression.

- Mertsj

I got -41823.4 What did you get?

- anonymous

-4.18234

- Mertsj

How did you get a decimal point after the 4?

- anonymous

let me calculate it again ok

- Mertsj

The numbers are right. just the decimal is off.

- Mertsj

maybe your calculator is in scientific notation mode and it has an exponent of 4. Could that be?

- anonymous

is cuz i set it to round and it's literallly going crazy so let's go with ur answer ok

- Mertsj

Ok. Now we know the vertex is (8.4,-41823.4)

- Mertsj

And now we have to plug in the .28 and find the value of the expression for that x value.

- anonymous

ok

- Mertsj

I got -6917.176 What did you get?

- anonymous

-6.917176

- anonymous

the decimal again

- Mertsj

you've got to get your calculator out of scientific notation mode. Do you have a EE button?

- Mertsj

It automatically gives you your answers in scientific notation and you are overlooking the number at the upper right of the screen that tells you the exponent of the 10

- anonymous

i redid it and now i got -1.59??????

- Mertsj

I'll do it again. I'll bet that every problem you do, you get an answer between 1 and 10. Am I right? Enter 20 times 500

- anonymous

1.00

- Mertsj

There you go. Of course 20 times 500 is 10000 not 1. Did you look for a little number at the upper right of your screen? It should be a 4

- Mertsj

In any case, I've double checked it a number of times.
f(.28)=-1587.176

- anonymous

so ok then how do i write it as a coordinate?

- Mertsj

(.28,-1587.176)

- Mertsj

And for the vertex: Ok. Now we know the vertex is (8.4,-41823.4)

- anonymous

yes ok i'm clear now

- Mertsj

Good for you.

- anonymous

thank you!!!!!!!!

- Mertsj

yw

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