Answer:
x≥ 0
Step-by-step explanation:
7x+6 ≥ -(x-6)
Distribute the minus sign
7x+6 ≥ -x+6
Add x to each side
7x+x+6 ≥ -x+x+6
8x+6 ≥ 6
Subtract 6 from each side
8x+6-6 ≥ 6
8x≥ 0
Divide by 8
8x/8≥ 0/8
x≥ 0
Answer:
1 mile every 7.6 min
Step-by-step explanation:
Answer:
a) ⅓ units²
b) 4/15 pi units³
c) 2/3 pi units³
Step-by-step explanation:
4y = x²
2y = x
4y = (2y)²
4y = 4y²
4y² - 4y = 0
y(y-1) = 0
y = 0, 1
x = 0, 2
Area
Integrate: x²/4 - x/2
From 0 to 2
(x³/12 - x²/4)
(8/12 - 4/4) - 0
= -⅓
Area = ⅓
Volume:
Squares and then integrate
Integrate: [x²/4]² - [x/2]²
Integrate: x⁴/16 - x²/4
x⁵/80 - x³/12
Limits 0 to 2
(2⁵/80 - 2³/12) - 0
-4/15
Volume = 4/15 pi
About the x-axis
x² = 4y
x² = 4y²
Integrate the difference
Integrate: 4y² - 4y
4y³/3 - 2y²
Limits 0 to 1
(4/3 - 2) - 0
-2/3
Volume = ⅔ pi
Answer:
x= -15/8
Step-by-step explanation:
5(2x+3)-2x = 0
10x+15-2x = 0
8x= -15
x= -15/8
