how many solutions can be found for the equation −4x − 11 = 2(x − 3x) 13? none one two infinitely many

One x = 11/48

Step-by-step explanation:

Solve for x:

-4 x - 11 = 2×13 (x - 3 x)

x - 3 x = -2 x:

-4 x - 11 = 2×13×-2 x

2 (-2) = -4:

-4 x - 11 = -4×13 x

-4×13 = -52:

-4 x - 11 = -52 x

Add 52 x to both sides:

52 x - 4 x - 11 = 52 x - 52 x

52 x - 52 x = 0:

52 x - 4 x - 11 = 0

Grouping like terms, 52 x - 4 x - 11 = (-4 x + 52 x) - 11:

((-4 x + 52 x) - 11) = 0

52 x - 4 x = 48 x:

48 x - 11 = 0

Add 11 to both sides:

48 x + (11 - 11) = 11

11 - 11 = 0:

48 x = 11

Divide both sides of 48 x = 11 by 48:

(48 x)/48 = 11/48

48/48 = 1:

 x = 11/48

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

answer: b.48 for

step-by-step explanation: