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
