We have a domain of a function, that is, which x-es can we throw in. But we are asking which y-s will we get given that we can only throw x-es in
.
Let's try
even though we are forbidden to put 4 inside
we are still able to do so.
So
what we just got is the upper limit of the range. The lower limit is
.
So the range is just
.
Hope this helps :)
Answer:
6^21 = B
Step-by-step explanation:
![[6^{7} ]^{3} \\(6)^7^*^3\\6 ^{21} \\](https://tex.z-dn.net/?f=%5B6%5E%7B7%7D%20%5D%5E%7B3%7D%20%5C%5C%286%29%5E7%5E%2A%5E3%5C%5C6%20%5E%7B21%7D%20%5C%5C)
Okay so for this one, we have to isolate our X.Lets start by moving the negative 5 on the other side of the equal sign. Remember to not mix a number that is with an X with a normal number (in this case it would be the -3x and the -5). So in putting our -5 on the other sign it becomes positive. Here’s what we have: x^2-3x=5. x^2 is the same thing as 2x.So now you have to minus 3x off of your 2x. This gives us -1x, but can just be put as -x. So now we have -x=5. You’re answer could either be 5 or -5 if you decided to divide it by -1 seeing as your -x is technically -1.
We know that 24 is 160% more than some recommended number, let's call it "x." This means 1.6 times the recommended number equals 24. Therefore, all we need to do is solve for x.


Make sense?
The question "What is the LCM and GCF of 36 and 81?" can be split into two questions: "What is the LCM of 36 and 81?" and "What is the GCF of 36 and 81?"
In the question "What is the LCM and GCF of 36 and 81?", LCM is the abbreviation of Least Common Multiple and GCF is the abbreviation of Greatest Common Factor.
To find the LCM, we first list the multiples of 36 and 81 and then we find the smallest multiple they have in common. To find the multiples of any number, you simply multiply the number by 1, then by 2, then by 3 and so on. Here is the beginning list of multiples of 36 and 81:
Multiples of 36: 36, 72, 108, 144, 180, 216, etc.
Multiples of 81: 81, 162, 243, 324, 405, 486, etc.
The least multiple on the two lists that they have in common is the LCM of 36 and 81. Therefore, the LCM of 36 and 81 is 324.