Find the LCM of 8 and 16.
2 answers:
LCM stands for least common multiple, and so the LCM of two number is the smallest possible common multiple of the two numbers.
Since 16 is already a multiple of 8 (and since every number is a multiple of itself), the LCM between 8 and 16 is sixteen itself: it is a multiple of 8, it is a multiple of 16, and there couldn't be a smaller one.
Even though this case was trivial, let's do the computation to learn how to do this in general: first of all, you need the prime factorizations of the two numbers:
The LCM of the two numbers is composed by all the primes appearing in any of the two factorizations. In case a prime appears in both factorizations, we choose the one with higher exponents.
In this case, 2 is the only prime to appear in both factorizations. So, we choose the one with higher exponent, which is 4, and the answer is , as we already observed.
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Answer:
Exponential growth functions are:
Exponential decay functions are:
Step-by-step explanation:
Given:
An exponential function is of the form , where,
.
Now, if a > 0 and b > 1, then the exponential function represent exponential growth.
If a > 0 and 0 < b < 1, then the exponential function represent exponential decay.
Let us check each function now.
Option 1:
Here,
As 1.08 > 1, the function is exponential growth.
Option 2:
Here,
As 0.5 < 1, the function is exponential decay.
Option 3:
Here,
As 0.8 < 1, the function is exponential decay.
Option 4:
Here,
As 3 > 1, the function is exponential growth.
Option 5:
Here,
As 1.07 > 1, the function is exponential growth.
Option 6:
Here,
As 0.93 < 1, the function is exponential decay.
Question 1
*-24
question 2
*D
question 3
*B
question 4
*look at the picture
*-24
question 2
*D
question 3
*B
question 4
*look at the picture