Answer:
P = (2, 3)
Step-by-step explanation:
P is a local minimum, so can be found from the upper zero of the derivative.
y' = 0 = 3x^2 -8x +4
0 = (3x -2)(x -2)
x = 2/3, x = 2
So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:
y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3
The coordinates of P are (2, 3).
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A graphing calculator confirms this result.
The answer would be 24pi inches.
You can find this by using the formula for a circumference and plugging in the value of the radius.
C = 2pi*r
C = 2pi * 12
C = 24pi
Answer:
an = 1/4 * an-1
a1 = 2
Step-by-step explanation:
2, 1/2, 1/8, 1/32
To find the common ratio, take the second term and divide by the first term
1/2 ÷ 2
1/2 * 1/2
1/4
The common ratio is 1/4
1/2 * 1/4 = 1/8 and 1/8 *1/4 = 1/32
The first term is a1 so a1 = 2
an = the common ratio * an-1
an = 1/4 * an-1
Answer:
The 2017 year is out of proportion.
Step-by-step explanation:
That graph should be at about half to 3/4 the height of the average heights of the other bars.
Answer:
ratio is 1:9 is 11.11%
Step-by-step explanation:
