The exponential model best represents the data is B. f(x) = 5(0.2)^x
<h3>How to determine the
exponential model?</h3>
From the table of values, we have the following points:
(x, y) = (0,5) and (1,1)
An exponential model is represented as:
y = ab^x
Substitute (x, y) = (0,5)
5 = ab^0
5 = a
This gives
a = 5
So, we have:
y = 5b^x
Substitute (x, y) = (1,1)
1 = 5b^1
This gives
5b = 1
Divide by 5
b = 0.2
Substitute b = 0.2 in y = 5b^x
y = 5(0.2)^x
Hence, the exponential model best represents the data is B. f(x) = 5(0.2)^x
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40g+300 is less than or equal to 5000
g is less than or equal to 117.5
So that is 117 guests max can be invited
VK = VY+YK by the segment addition postulate. Basically adding two segments along a straight line forms a longer segment. In this case, VY and YK combine to form VK
Since VK = x and VY = 22, this means...
VK = VY+YK
x = 22+YK
x-22 = YK
YK = x-22
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Notice the arc marks where the point T is located. These markings tell us that the two angles VTY and YTK are congruent angles. Because of this, we can use the angle bisector theorem which says that the ratio of the corresponding sides are congruent.
In short, we can form this ratio
VT/VY = KT/KY
which is the ratio of the side adjacent to the angle, to the side opposite the angle
Plug in the given values and solve for x
VT/VY = KT/KY
77/22 = 87.5/(x-22)
77(x-22) = 22*87.5
77(x-22) = 1925
77x-77*22 = 1925
77x-1694 = 1925
77x = 1925+1694
77x = 3619
x = 3619/77
x = 47
Answer: 47
Answer: (A(x2+1)x-3)^=134
Step-by-step explanation: what me my brother did was just look it up
Answer:
58%
Step-by-step explanation:
vertical angles are always the same
