Examine the following system of inequalities.
{y > −x + 4 and y ≤−(1/2)^x + 6
which graph shows the solution to the system?
dotted linear inequality shaded below passes through (negative 4, 0) and (0, 4). solid exponential inequality shaded above passes through (negative 1, 8) & (0, 7).
dotted linear inequality shaded below passes through (0, 4) and (4, 0). solid exponential inequality shaded below passes through (negative 2,2) & (0,5).
dotted linear inequality shaded above passes through (negative 4, 0) and (0, 4). solid exponential inequality shaded below passes through (negative 1, 8) & (0, 7).
dotted linear inequality shaded above passes through (0, 4) and (4, 0). solid exponential inequality shaded below passes through (negative 2,2) & (0,5).

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

Step-by-step explanation:

we have

----> inequality A

The solution of the inequality A is the shaded area above the dotted line

The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)

and

-----> inequality B

The solution of the inequality B is the shaded area above the solid line

The solid line passes through the points (0,5) and (-2,2)

therefore

The solution of the system of inequalities is the shaded area between the dotted line and the solid line

see the attached figure

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

step-by-step explanation: