Answer:
The greatest common divisor of two integers a and b (not both 0) is the largest integer that divides both a and b.
Step-by-step explanation:
Think for example of the numbers a=5, and b= -10. The greatest common divisor of 5 and -10, is the largest integer that divides both 5 and -10. We can find it by inspection (although there are more advanced methods to find it). We can list all integers that divide both 5 and -10.
-5 divides 5, and it also divides -10
-1 divides 5, and it also divides -10
1 divides 5, and it also divides -10
5 divides 5, and it also dividies -10
The LARGEST of them all is then 5, so 5 is the greatest common divisor of 5 and -10. The usual way to write it is
A 12.5
140-85=55
55-30=25
25/2=12.5
Exponential functions are defined as y = Abˣ, where b > 0 and b≠1. The multiplicative rate of change of the function is (1/5).
<h3>What is an exponential function?</h3>
Exponential functions are defined as y = Abˣ, where b > 0 and b≠1. As with every exponential equation, b is known as the base and x is known as the exponent. Bacterial growth is an example of an exponential function. Some germs multiply every hour.
An exponential equation is represented by y=Abˣ, given the table with the values, substitute the values from the first row we will get,
y=Abˣ
2=A x b¹
2 = Ab
A = 2/b
Now, substitute the values in the equation from the second row,
y=Abˣ
Hence, the multiplicative rate of change of the function is (1/5).
Learn more about Exponential Function:
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Answer:
(d) (-2, 6)
Step-by-step explanation:
We can rewrite the function using vertex form.
f(x) = (x^2 +4x) +10
f(x) = (x^2 +4x +4) +10 -4 . . . . . . . add and subtract (4/2)^2
f(x) = (x +2)^2 +6
Compare to vertex form:
f(x) = (x -h)^2 +k
we see that (h, k) = (-2, 6) . . . . the vertex
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<em>Additional comment</em>
The value added and subtracted is the square of half the x-coefficient. Inside parentheses, that value "completes the square". Outside parentheses, that value ensures the overall function remains unchanged.