∫ √(4x - x²) dx
= 2[(4x - x²)^(3/2)] / 3(4 - 2x)
Answer:
Total overripe fruit = 48
Step-by-step explanation:
<em>Step 1: Assume the value of oranges</em>
Let oranges be x
Oranges = x
Apples = 32 + x
Overripe oranges = 3/5 of oranges
= 3x/5
Overripe apples = 1/3 of apples
= 1/3 (32 + x)
<em>Step 2: Find x (oranges)</em>
<em>Number of overripe apples and number or overripe oranges are equal.</em>
3x/5 = 1/3 (32 + x)
3 (3x) = 5(32 + x)
9x = 160 + 5x
4x = 160
x = 40
<em>Step 3: Find the total number of overripe fruit.</em>
Total overripe fruit = Overripe apples + Overripe oranges
Total overripe fruit = 1/3 (32 + x) + 3x/5
Total overripe fruit = 1/3 (32 + 40) + 3(40)/5
Total overripe fruit = 24 + 24
Total overripe fruit = 48
!!
Answer:
The answer to your question is: (1/2, 5)
Step-by-step explanation:
Parabola f(x) = 8x² - 8x + 7
y = 8x² - 8x + 7
Vertical Parabola equation
( x - h)² = 4p (y - k) Transform the original equation to this form
8x² - 8x = y - 7
8(x² - x + ( )²) = y - 7 Complete squares
8 (x² - x + (1/2)²) = y - 7 + 2 Simplification
8 (x² - x + 1/4) = y - 5
(x - 1/2)² = 1/8 (y - 5)
Finally Vertex
(1/2 , 5)
Answer:
Step-by-step explanation:
lets eliminate the parenthesis,
-2x-2=2x-2
-4x=0
x=0
