What value or values of x satisfy 2|x + 5.3| = 4.2? x can only equal –3.2.
x can only equal 7.4.
x can equal –3.2 or –7.4.
x can equal –3.2 or 7.4.

we have

Step 1

Find the first solution (case positive)

Eliminate the parenthesis left side

Subtract  both sides

Divide by  both sides

Step 2

Find the second solution (case negative)

Eliminate the parenthesis left side

Adds  both sides

Divide by  both sides

therefore

the answer is the option C

x can equal –3.2 or –7.4

Step-by-step explanation:

2 | x + 5.3 | = 4.2

| x + 5.3 | = 4.2 / 2

| x + 5.3 | = 2.1

x + 5.3 = 2.1 x + 5.3 = - 2.1

x = 2.1 - 5.3 x = -2.1 - 5.3

x = - 3.2 x = - 7.4

solution is : x = -3.2 or x = -7.4

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.