2 years ago

Find constants a and b so that the minimum for the parabola f(x)=x^2+ax+b is at the point (6,7)

1 answer:

4 0

To find the minimum, take the derivative of the function and equate to zero:

f(x) = y = x² + ax + b
dy/dx = 2x + a = 0
Substitute x =6:
a = -2x
a = -2(6)
a = -12

Then, substitute x = 6, y = 7 and a = -12 to find b.

7 = (6)² -12(6) + b
7 + 36 = b
b = 43

Thus, a = -12 and b = 43

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What is -4 2/3 as a decimal with work

Luba_88 [7]

The decimal equivalent is -4.666....

In order to find this, we need to start by just taking the whole number for itself.

-4.

Now we have to handle the fraction version. In order to do that, we need to do the division and turn into a decimal.

2/3 = .666...

Now we simply put them together and get our answer.

-4.666...

6 0

2 years ago