Answer: A. -1 2/3
-2 1/6 - 1 1/4 + 1 3/4 (convert from mixed numbers to improper fractions)
= -13/6 - 5/4 + 7/4 (multiply to have the same LCD)
= -26/12 - 15/12 + 21/12
= -20/12 (convert back to a mixed number)
= -1 8/12 (simplify the mixed number)
= -1 2/3
Answer:
8.57%
Step-by-step explanation:
Find increase:
26.86 - 24.74 = 2.12.
Find percentage:
= 0.08569118835 = 8.57%
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:
85% decrease
Step-by-step explanation:
The percentage change is the change fraction multiplied by 100%.
percent change = change / original × 100%
= (3 -20)/20 × 100%
= -17/20 × 100% = -85%
A decrease from £20 to £3 is a change of -85%.
Rate of change: 10 units up for every 1 unit over