You can use prime factorization to find the GCF of a set of numbers. This often works better for large numbers, where generating lists of all factors can be time-consuming.
Here’s how to find the GCF of a set of numbers using prime factorization:
* List the prime factors of each number.
* Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.
* Multiply all the circled numbers.
The result is the GCF.
For example, suppose you want to find the GCF of 28, 42, and 70. Step 1 says to list the prime factors of each number. Step 2 says to circle every prime factor that’s common to all three numbers (as shown in the following figure).
As you can see, the numbers 2 and 7 are common factors of all three numbers. Multiply these circled numbers together:
2 · 7 = 14
Thus, the GCF of 28, 42, and 70 is 14.
24,700 = P*(1 -rt)
P = $24,700/(1 -0.08*(180/360)) = $25,729.17 . . . . . assuming a 360-day year
The face value is $25,729.17.
Since the slope is 2/3, for every time the x-value increases by 1
the y-value increases by 2/3.
The answer to x is found by finding the difference between 3 and 5, which is 2.
2/3 goes into that 3 times.
So subtract 2 from -2 to get -4.
The x-value is -4.
The answer for the y-value is given earlier:
the original point of (-2,5).
The y-value is 5.
Hope this helps!
Answer:
-8x+12
You have to distrivute the -4 into the parenthesis so to solve the problem you multiply -4*(-2x)+=-8x and -2*(-3)=6
Yes the two figures are similar because they are dilated by a scale factor of 1/2.