Answer:
The correct answer is A. g(x)=(x-3)2+1
Hello,
<span>The maximum possible number of turns is one less than the degree 3-1=2
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Step-by-step explanation:
a) The slope formula is given by
m = (y2 - y1)/(x2 - x1)
Let P1(7, 5) and P2(21, 15)
m = (15 - 5)/(21 -7)
= 10/14
= 5/7
b) Let's see if the slope is only a third of the one found in part (a) or m = 5/21. Let P1(0, 0) and P2(21, 5).
m = (5 -0)/(21 - 0)
= 5/21
Indeed, the slope is only a third of part (a), as we predicted.
Answer:
The complex number is 0+i/3.
Step-by-step explanation:
Let the imaginary part be x.
The complex number will be a+xi
Given:
real part =a
(a+xi)*3=i...............(i)
To find:
imaginary part
Solution:
3a + 3xi=i.............(ii)
Comparing real and imaginary parts of eq(ii).
3a=0 and 3x=1
a=0
x=1/3.
If we let m represent the average value of f'(x) over the interval x ∈ [4, 6], then the value of f(6) will be
f(6) = f(4) + m(6 -4)
f(6) = f(4) + 2m
And the difference f(6) - f(4) is
f(6) - f(4) = (f(4) +2m) - f(4) = 2m
The problem statement tells us that m must be in the range 2 ≤ m ≤ 3, so 2m is in the range 4 ≤ 2m ≤ 6.
The minimum possible value of f(6) - f(4) is 4.
The maximum possible value of f(6) - f(4) is 6.