Question

frac{5-x}{x-2}-frac{5x-8}{2-x}

Answer 1

\[\frac{5-x}{x-2}-\frac{5x-8}{2-x}\]

Answer 2

Subtract and simplify.

Answer 3

\[\frac{5-x}{x-2}-\frac{5x-8}{2-x}\]

\[\frac{5-x}{x-2}-\frac{5x-8}{-1(x-2)}\]

\[\frac{5-x}{x-2}+\frac{5x-8}{x-2}\]

\[\frac{5-x+5x-8}{x-2}\]

\[\frac{4x-3}{x-2}\]

Answer 4

Subtract and simplify.

Answer 5

Thanks again!!

Answer 6

Subtract and simplify.

Answer 7

\[f(x)=1/3(x+8)^{2}+1\]
Whats the vertex
Line of symmetry
Maximum/minimum value of f(x)

Answer 8

Hint: Place in the form \[f(x)=a(x-h)^2+k\] The vertex will be (h,k) and the line of symmetry will be x = h

Answer 9

would it be (64,1) and -8?

Answer 10

You have part of it right. You said that the line of symmetry is x = -8. Since h=-8, what does that mean for the vertex?

Answer 11

-16? or 256?

Answer 12

Remember, the vertex is (h,k)

Answer 13

(-8,1)

Answer 14

Good, you got it. That's the vertex.

Answer 15

cool, so the line os symmetry would be -8

Answer 16

x=-8 since this is the equation of the vertical line at -8 on the x-axis

Answer 17

The line of symmetry cannot be a negative can it?

Answer 18

it can be any number

Answer 19

ok would my maximum/minimum be 1 than?

Answer 20

yes, that is correct. The max/min is 1. The max/min refers to the y coordinate of the vertex.

Answer 21

Ok thanks again and again, you are a lifesaver!!!