The GCF is 3n3
No. 3n isn't a factor of 3n + 7. The GCF of 3n + 7 and 9n is 1.
No. 3n is not a factor of 3n + 7.
No. 3n is not a factor of 3n + 7.
6n² - 18n - 18 = 6, so 6n² - 18n - 24 = 0.Dividing by 6:n² - 3n - 4 = 0.What multiplies to -4 and adds to -3? The only possible factors are:(-1)4(-2)2(-4)1...with sums of 3, 0, and -3, respectively. We want that last one, son² - 3n - 4 = (n - 4)(n + 1).
Yes, here's the proof.Let's start out with the basic inequality 81 < 87 < 100.Now, we'll take the square root of this inequality:9 < √87 < 10.If you subtract all numbers by 9, you get:0 < √87 - 9 < 1.If √87 is rational, then it can be expressed as a fraction of two integers, m/n. This next part is the only remotely tricky part of this proof, so pay attention. We're going to assume that m/n is in its most reduced form; i.e., that the value for n is the smallest it can be and still be able to represent √87. Therefore, √87n must be an integer, and n must be the smallest multiple of √87 to make this true. If you don't understand this part, read it again, because this is the heart of the proof.Now, we're going to multiply √87n by (√87 - 9). This gives 87n - 9√87n. Well, 87n is an integer, and, as we explained above, √87n is also an integer, so 9√87n is an integer too; therefore, 87n - 9√87n is an integer as well. We're going to rearrange this expression to (√87n - 9n)√87 and then set the term (√87n - 9n) equal to p, for simplicity. This gives us the expression √87p, which is equal to 87n - 9√87n, and is an integer.Remember, from above, that 0 < √87 - 9 < 1.If we multiply this inequality by n, we get 0 < √87n - 9n < n, or, from what we defined above, 0 < p < n. This means that p < n and thus √87p < √87n. We've already determined that both √87p and √87n are integers, but recall that we said n was the smallest multiple of √87 to yield an integer value. Thus, √87p < √87n is a contradiction; therefore √87 can't be rational and so must be irrational.Q.E.D.The question asks if 87 is rational, not √87. 87 is rational because it can be expressed as the ratio of two integers i.e. 87 = 87/1.
The GCF of 9n5 and 9n3 is 9n3.
12m + 9n - 4 - 10m + 6n = 2m + 15n - 4
11m + 6n - 2m + 9n = 9m + 15n or 3(3m + 5n)
it equals -15
-6N - 7
5n+6n-2n can be solved by combining like terms. Combine 5n and 6n and -2n to get 9n.
5n+6n-2n can be solved by combining like terms. Combine 5n and 6n and -2n to get 9n.
1.1111
n = 1 7n + 6n - 5 = 4n + 4 13n - 5 = 4n + 4 13n - 4n - 5 = 4n - 4n + 4 9n - 5 = 4 9n -5 + 5 = 4 + 5 9n = 9 n = 1
No. 3n isn't a factor of 3n + 7. The GCF of 3n + 7 and 9n is 1.
3(3n - 1)(n + 1)
6 + 9 = 10x 6n + 9n = 10 6 (x + 9) = 10x - 18 Remember variable's power will be never more than one.