4
B.
8
C.
16
D.
32
Answer:
8 is the gcf
Step-by-step explanation:
Select from the drop-down menus to correctly complete each statement.
The function is an exponential Choose...
function.
The percent rate of change of the function is Choose..
%
The function is an exponential growth function, and the percent rate of change of the function is 160%
An exponential function is a mathematical function of the following form: f(x) = aˣ. where x is a variable, and a is a constant called the base of the function.
Given is an exponential function, f(x) = 0.3(2.6)ˣ
This is in the form of,
f(x) = a(b)ˣ
Where,
a is the initial value or y-intercept
b is the base of the exponential function
If b> 1---> we have a growth function
if b< 1---> is a decay function
If r is the percent rate of change
b = (1+r)
We have
a = 0.3
b = 2.6
Since, the value of b >1
Therefore,
f(x) = 0.3(2.6)ˣ is a growth function
For r,
r = b-1 = 2.6-1 = 1.6
Converting into percent,
1.6 x 100 = 160%
Hence, the function is an exponential growth function, and the percent rate of change of the function is 160%
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The greatest common factor of 16 and 64 is 16.
Given that we need to find the greatest common factor of 16 and 64,
To find the greatest common factor (GCF) of two numbers, such as 16 and 64, we need to determine the largest number that divides both of them without leaving a remainder.
First, let's find the factors of each number:
Factors of 16: 1, 2, 4, 8, 16
Factors of 64: 1, 2, 4, 8, 16, 32, 64
As we can see, both numbers have the factors 1, 2, 4, 8, and 16. The largest number that divides both 16 and 64 without leaving a remainder is 16.
In general, when finding the GCF of two numbers, we look for the common factors they share and choose the largest one.
In this case, since 16 is the largest common factor, it becomes the GCF.
Hence the greatest common factor is 16.
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