Answer: Function h(x)
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Explanation:
To compare the average rate of change (AROC) for the three functions, we'll use the formula
AROC = (p(a) - p(b))/(a-b)
where p(x) is any general function and [a,b] is the interval we care about. In this case, a = 2 and b = 4.
For f(x), we have
f(x) = (-5/2)*(3)^x
f(2) = (-5/2)*(3)^2
f(2) = -22.5
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f(x) = (-5/2)*(3)^x
f(4) = (-5/2)*(3)^4
f(4) = -202.5
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AROC = (f(a)-f(b))/(a-b)
AROC = (f(2)-f(4))/(2-4)
AROC = (-22.5-(-202.5))/(2-4)
AROC = -90
So we can rule out function f as the AROC here is -90 but we want the AROC to be -6
For g(x) we have
AROC = (g(a)-g(b))/(a-b)
AROC = (g(2)-g(4))/(2-4)
AROC = (-5-(-77))/(2-4)
AROC = -36
So we can rule out g(x) as well
For h(x) we have
AROC = (h(a)-h(b))/(a-b)
AROC = (h(2)-h(4))/(2-4)
AROC = (0-(-12))/(2-4)
AROC = -6
h(x) is the function that has the proper AROC we want
So that's why h(x) is the only answer
Answer:
B.
w=P-2l/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
it should add up to 360°
360=135 + 120 + 7x-64+5x-4+3x+31+4x+15+6x-8 (seems like too much huh)
360=225+25x ( much better just add the x terms and the constants together)
135 = 25x ( just subtract 225 from each side of the equation)
5.4 = x ( divide 135 by 25 )
Answer:
2/3 ÷ 4=1/6
Step-by-step explanation:
2/3÷4=2/3×1/4
=1/3×2
=1/6
