**Answer:**

x is add one y is divide in half

**Step-by-step explanation:**

2x - 1 = √(8 - x)

Squaring

(2x - 1)² = 8 - x

4x² - 4x + 1 = 8 - x

4x² - 3x -7 = 0

(4x - 7)(x + 1) = 0

4x = 7 or x = -1

x = 7/4 or x=-1

x=7/4 checks, 2(7/4)-1 = 10/4 = 5/2, √(8-7/4)=√(25/4) = 5/2, good

x=-1 fails, 2(-1) - 1 = -3, can't be a principal square root

Answer: **-1 **is extraneous

Based on the given graph above, the statement that is considered true regarding the functions on the graph would be the first option: <span>A) f(2) = g(2)

Here is how I got the answer:

f(0) = 2 g (-2) = 0

f(2) = 0 g (0) = -2

g(2) = 0

f(2)=g(2)=0

Hope this answers your question.

Have a great day!</span>

Answer:

3πx³ + 20πx² + 44πx + 32π

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

r = radius of the cylinder

h = height of the cylinder

r = x+2

h = 3x + 8

Volume of a cylinder = πr²h

= π × (x+2)² × 3x + 8

= (3xπ + 8π) × (x + 2)²

= (3πx + 8π) + (x² + 4x + 4)

= 3πx³ + 12πx² + 12πx + 8πx² + 32πx + 32π

= 3πx³ + 20πx² + 44πx + 32π

Note:

(x + 2)²

= (x + 2) (x + 2)

= x² + 2x + 2x + 4

= x² + 4x + 4