A portion of the quadratic formula proof is shown. fill in the missing reason. ax^2+bx+c=0 —— Given
ax^2+bx=-c ——subtract c from both sides of the equation
x^2+b/a x=-c/a —— divide both sides of the equation by a
x^2+ b/a x+(b/2a)^2=-c/a+(b/2a)^2 —— complete the square and add (b/2a)^2 to both sides.
x^2+ b/a x+(b/2a)^2=-c/a+b^2/4a^2 —— square (b/2a) on the right side of the equation.
x^2+ b/a x+(b/2a)^2=-4ac/4a+b^2/4a^2—— find a common denominator on the right side of the equation.
x^2+ b/a x+(b/2a)^2=b^2-4ac/4a^2 —— ?

A-multiply the fractions together on the right side of the equation
B- subtract 4ac on the right side of the equation
C- add 4ac to both sides of the equation
D- add the fractions together on the right side of the equation

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  D- add the fractions together on the right side of the equation

Step-by-step explanation:

In the previous step, the fractions are written with a common denominator. In the last step, the two fractions are combined (added together).

The best description of those provided is ...

  D- add the fractions together on the right side of the equation

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be