George is solving the equation below by finding successive approximations. He started from a graph where he found the solution to be between 5 and 6. Using the lower and upper bounds from the graph, George did the following work for the first iteration.

Step 1
Rewrite the equation so that it equals zero.

Step 2 Evaluate the rewritten equation at the lower and upper bounds.
Since the solution to the original equation is represented by a zero, one of the bounds should yield a negative difference and the other should yield a positive difference.

Step 3 Take the average of the lower and upper bounds from the graph.

Step 4 Evaluate the rewritten equation at .

Step 5 Since this value of x yields a negative difference, use it to replace the previous upper bound that yielded a negative difference, .

So, the bounds are now and .

In what step, if any, did George make his first mistake?

A.
George made no mistakes, and his work is correct.
B.
In step 3, George should have averaged the two differences instead of the two bounds.
C.
In step 1, George should have subtracted in the opposite order to set the equation equal to 0.
D.
In step 5, George should have used as the new lower bound.

Step-by-step explanation:

B

cdxcvxv

Step-by-step explanation:

$8

step-by-step explanation:

it is pretty much backwards.

you take the 4x2 multiply that, and that is = $8

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