D. y=mx+b. m being slope and b being the y intercept. so the equation for the line is y=3x+2 and to be parallel your m must be the same number so D. 3x
Answer:
2000 x 0.03 = 60
2000 + 60 = 2060
2060 x 0.03 = 61.8
2060 + 61.8 = 2121.8
Step-by-step explanation:
Answer:
1,75 miles
Step-by-step explanation:
3 miles ______26 minutes
1 miles =>26 :3 =8,5 (8 minutes and 5 seconds)
15:8,5 =1,75 miles
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
2x² + 6x - 3 + 2x³ - 3x + 2
Combine like terms
2x³ + 2x² + 6x - 3x - 3 + 2
Final answer:
2x³ + 2x² + 3x - 1
