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:
Coordinates:
(-3, 5)
(2, 5)
(-3, 10)
(2, 10)
Step-by-step explanation:
Perimeter formula:
length + width + length + width
Insert known value(s):
l + w + l + w = 20
Squares must have the same value for all 4 sides, so what number × 4 will equal 20? 5.
5 + 5 + 5 + 5 = 20
This means coordinates will be 5 units apart:
(-3 + 5, 5) = (2, 5)
(-3, 5 + 5) = (-3, 10)
Mark these coordinates on your grid as you go to double check the shape turns becomes a square:
(2, 5 + 5) = (2, 10)
Counting between them should equal 5 units for each side: I checked using the desmos graphing calculator online.
Answer:
$77 x 15/100 = $11.55
Step-by-step explanation:
15 percent of 77 dollars is 11.55
Answer:
the answer is $120
Step-by-step explanation:
60+60 is 120
Answer:
y = (3/2)x + 3
Step-by-step explanation:
Trust me
