Answer:
The pairs of functions that best represent the equation are f(x)=x² and g(x)=1/x
Step-by-step explanation:
For this problem, you will have to multiply each equation in the answer choices until you find the pair that has a product of x.
Let's start with the first answer choice.
(f * g)(x)
<em>f(x)=x²</em>
<em>g(x)=1/x</em>
Now, we multiply these terms together.
x² * 1/x = x²/x
Now, divide x from x². When you are dividing exponents, the exponential numbers subtract. So, since there is no exponent on x, then we assume this exponent to be 1. So, when dividing you will subtract 1 from 2.
x²/x = x
So, the answer to the problem is answer choice A. These functions multiply together to get you a final product of x.
I'm not entirely sure what you're looking for, but here are your options. If you need a perfect square, I'd go for the 12 and 12, but I hope this helps?
Answer:
5 x 199
Step-by-step explanation:
You can see that it is divisible by 5, a prime number, because it ends in 5. Once you divide it, you get 199 which itself is a prime number.
Answer:
-12r² + 10xr - 15x + 34r - 24
Step-by-step explanation:
1. Organize it, variables first - as well as adding constants such as 4 and -7
(5x - 6r + 8) (2r - 3)
2. Start by multiplying the 5x by (2r - 3), then -6r, followed by 8
(10xr - 15x) + (-12r^2 + 18r) + (16r - 24)
3. Simplify
10xr - 15x - 12r² + 18r + 16r - 24
4. Order by greatest to smallest factorial
-12r² + 10xr - 15x + 18r + 16r - 24
5. Combine like variables
-12r² + 10xr - 15x + 34r - 24
This is in its simplest form.
There are no like terms to an operation