Answer:
x ≈ - 4.12 , x ≈ 0.12
Step-by-step explanation:
Given
2x² + 8x - 1 = 0 ( add 1 to both sides )
2x² + 8x = 1 ← factor out 2 on the left side
2(x² + 4x) = 1
To complete the square
add/ subtract (half the coefficient of the x- term )² to x² + 4x
2(x² + 2(2)x + 4 - 4) = 1, that is
2(x + 2)² - 8 = 1 ( add 8 to both sides )
2(x + 2)² = 9 ( divide both sides by 2 )
(x + 2)² = 
( take the square root of both sides )
x + 2 = ± 
= ± 
= ± 
( subtract 2 from both sides )
x = - 2 ± 1.5
, thus
x = - 2 - 1.5 ≈ - 4.12 ( to 2 dec. places )
x = - 2 + 1.5 ≈ 0.12 ( to 2 dec. places )
Answer:
56652.3 ft^3
Step-by-step explanation:
The formula for the volume of a right circular cone is V=13pi*r^2*h where r is the radius of the base.
So V=13pi*(15.6)^2*(5.7)=56652.3
2/3 lb. - 1/3 lb. = 1/3 lb.
check: 1/3 lb. + 1/3 lb. = 2/3lb
ANSWER 》1/3 lb. MORE
Let us say that the number of pens that Matt has is x.
Therefore the number of pen that Sarah has is:
Sarah pens = (5/4) (1/3) x = (5/12) x
So the total number of pens they have is:
total = x + (5/12) x = (17/12) x
Hence the fraction of Matts pen is:
fraction = x / [(17/12) x]
fraction = 12/17
Answer:
None
Step-by-step explanation:
it would simplify to 3=2x-3, which has no solutions.
