Write a number as prime factors means to write the number as a product of numbers, all of which are prime. We start by checking whether the number is divisible by prime numbers, starting from the smallest prime number,2.
let's divide 24 into its factors.
first, it's even, so it must divide by 2
24=2*12
12 is also even, so it must divide by 2:
24=2*12=2*2*6
6 is also even, so it must divide by 2:
24=2*12=2*2*6=2*2*2*3
3 is not even, but it's a prime number.
so the solution is
2*2*2*3
From the table, y varies directly as x. Therefore, the constant of variation is k = 2 and y = 2x.
<h3>How to find a direct variation?</h3>
For direct variation,
y ∝ x
Therefore,
y = kx
where
- k = constant of proportionality
Hence,
(-2, -4)
-4 = -2k
k = -4 / -2
k = 2
(-4, -8)
y = -4(2) = -8
Therefore,
k = 2 and y = 2x
learn more on variations here: brainly.com/question/2315806
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Its algebra. The original equation is
To solve for a variable, we reverse the order of operations, beginning with addition/subtraction, and then multiplication/division. To remove a number from one side, we must do the opposite to the other side. In this case, to get rid of the -121 we must add 121 to the -164. This gives us -43. Then, to get the x by itself, we must multiply the other side by 3. -43*3=129
When we are doing the opposite of an operation to the other side, we are really reversing the operation and, to keep both sides equal, we must do whatever we have done to one side to the other side. So when we have -121, we add 121 as it equals 0, therefore it is gone. Since a equation must be balanced, we have to do what we did to the other side (adding 121).
For
,
, all the more
, therefore no solution.
For
, we have
. Obviously that' false.
For
both
and
, where
, belong to the range
, then
belong to the range
.
Those ranges don't have a common part, therefore, again, no solution.
So, the equation
doesn't have a solution.
In scientific notation, it would be 2x10^3.
An easy trick to help remember when it is a multiple of 10 is that you do the numbers that aren't zero (2) times 10 and the exponent is how ever many zeros there are after the other numbers (3).