Answer:
x = 2/3 or x = -1
Step-by-step explanation by completing the square:
Solve for x:
3 x^2 + x - 2 = 0
Divide both sides by 3:
x^2 + x/3 - 2/3 = 0
Add 2/3 to both sides:
x^2 + x/3 = 2/3
Add 1/36 to both sides:
x^2 + x/3 + 1/36 = 25/36
Write the left hand side as a square:
(x + 1/6)^2 = 25/36
Take the square root of both sides:
x + 1/6 = 5/6 or x + 1/6 = -5/6
Subtract 1/6 from both sides:
x = 2/3 or x + 1/6 = -5/6
Subtract 1/6 from both sides:
Answer: x = 2/3 or x = -1
So 161 divide 7 equals 23 so therefor he types 23 words per minutes. 23 times 20 equals 460. I think he can type 460 words in 20 minutes.
Answer:
Step-by-step explanation:
The standard equation of a parabola is
y² = 4ax
where, a is the focus,
The coordinates of the centre of parabola is (0,0)
coordinates of focus is (a, 0)
It is symmteric about the x axis
the equation of directrix is x = -a.
Answer: Abigail can make about 16 candles because 0.4 of a candle would not make an entire candle.
Step-by-step explanation:
For the Wax, it’s
V=Bh
V= l*w*h
= 15 cm * 11cm * 18 cm
= 2,970 cm^3
For the Mold, it’s
V=Bh
= r^2h
= * (3.1 cm)^2 * 6
= about 181 cm^3
Then you divide to find out how many candles you can make.
2,970 cm^3/181= 16.4
Hope this helps!
Answer: 30 miles
Step-by-step explanation:
3 hours is 180 minutes.
y=1/6(180)
y=30 mi
