Answer: 24 is the LCD
He is correct.
4 20/24 or 4 5/6 simplified
Answer:
.
Step-by-step explanation:
The given function is 
.
When this function is translated to the right 7 units and down 9 units, then the equation becomes
.
Always remember that; 
is a transformation that translates the graph of c units to the right and k units down.
The correct choice is the first option.
Answer:
x=3, y= - 2
Step-by-step explanation:
4x + 3y = 6
x-3y= 9
x=9+3y
4.(9+3y)+3y=6
36+12y+3y=6
15y = - 30
y = - 2
=> x= 9+3y
x= 9+ 3.(- 2)
x= 3
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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Alright, so after a half-life, half of the previous number would be left. So basically,
180 g ← 0 half lives
90 g ← 1 half life
45 g ← 2 half lives
22.5 g ← 3 half lives
11.25 g ← 4 half lives
Therefore, the answer is 11.25 grams
