Answer:
7/15
Step-by-step explanation:
You have 120 bags. 64 of them in total do not contain buttons.
120 - 64 = 56
You have 56 bags with buttons. The simple answer is,
56/120
You can simplify this down to 7/15
If you're looking for percent, the answer is 46.67%
Answer:
D=(3x-2)
Step-by-step explanation:
Area=length×width =3x²+7x-6
thus a=3 b=7 c=-6
W=(x+3)
since c is -6 it has to be the product of 3(from W)=-2
since a=3 multiply by x (from W) 3×x=3x
=3x-2
check if its correct.
3x-2×x+3
x(3x-2)+3(3x-2)
3x²-2x+9x-6
3x²+7x-6 thus its true
Answer:
(3, 2), (6, 4)
Step-by-step explanation:
Since one end (A) of the segment AB is at the origin, the required points will be 1/3 and 2/3 of the coordinates of B:
(1/3)(9, 6) = (3, 2)
(2/3)(9, 6) = (6, 4)
Answer:
A.
Step-by-step explanation:
This can solved graphically, using algebraic manipulation or differential calculus.
Plotting the equation will generate a parabola. The vertex represents the point where the ball will reach the maximum height.
The vertex can be determined by completing the square
h = -16t2 + 45t + 5
h - 5 = -16(t2 - 45/16t)
h - 5 - 2025/64 = -16(t2 - 45/16t + 2025/1024)
(-1/16)(h - 2345/64) = (t - 45/32)^2
The vertex is
(45/32,2345/64) or (1.41,36.64)
The maximum height is 36.64 ft
Using calculus, taking the first derivative of the equation and equating to 0
dh/dt = 0 = -32t + 45
t = 45/32
Substituting this value to the equation
h = -16(45/32)^2 + 45(45/32) + 5
h = 36.64 ft
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