Expand and simplify 3(2x+1)+2(x+4)

8x+11

Step-by-step explanation:

1. 6x+3+2x+8

2. 8x+11

8x + 11

Step-by-step explanation:

3(2x+1)+2(x+4)

distribute the 3 & 2 within the parentheses. first, multiply 3 and 2x, then multiply 3 and 1 to get 6x + 3. next, multiply 2 and x, then multiply 2 and 4 to get 2x + 8. this gives you:

6x + 3 + 2x + 8

then add like terms (6x + 2x and 3 + 8) to get your simplified final

8x + 11

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

47 - 90 = 43

43 - 180 = x

x = 137