Find the highest common factor
12 = 1, 2, 3, 4, 6, 12
24 = 1, 2, 3, 4, 6, 8, 12, 24
28 = 1, 2, 4, 7, 14, 28
4 bags is needed
3 apple, 6 blueberry, 7 banana in each bag
(3 x 4 = 12 apple) (6 x 4 - 24 blueberry) (7 x 4 = 28 banana)
1,603,199.99952 thats your answer
Answer:
Step-by-step explanation:
1. Symbolically, we get: 62 - 5x < 40
2. y - 7.3 < 3.4. Solve for y by adding 7.3 to both sides, obtaining:
y < 10.7 This is both the 'range' and the 'solution'
3a) 4b = 9b + 45, or -5b = 45, or b = -9
3b) 5a + 10 = 4a - 4
Combining like terms results in a = -14
Find the distance (in coordinate plane units) from (-4,10) to (-10,-1).
The change in x will be -6 and the change in y will be -11.
Thus, the distance between the 2 pts is, by the Pythagorean Theorem,
sqrt( [-6]^2 + [-11]^2 ) = sqrt(157).
Convert this to miles:
sqrt(157 units^2) = 12.6 units
1.55 mi
12.6 units * ------------- = 19.4 miles (answer)
1 unit
Differentiate with respect to x and y
2x +10 y y' = 0
get y' alone
y' = -2x/(10 y)
reduce
y'=-x/(5y)
continue with quotient rule of differentiation
y'' = ( 5y(-1) - (-x) (5y')) / (5y) squared
y'' = (-5y + 5xy') / (25y squared)
reduce by dividing each term by 5
y" = (-y +xy') / (5y squared) answer
Now if the teacher wants you to continue so no y or y' shows
substitute y' = -x/(5y) and y = square root ((5-x squared) / 5)
and simplify
