to make the proportion we make the ratio of the similar sides
For example
4/8 = 12/x
or we can write it as 4/12 = 8/x
or 12/x = 4/8
So last option is correct
An additive inverse is the value you can add to a given value such that the sum is "0"..
Your answer is choice A
18xy + (-18xy) = 0 Since these are like terms.. the key here is understanding that like terms must have the same exact variables raised to the exact same powers. We can add like terms. We cannot add unlike terms.
Both the general shape of a polynomial and its end behavior are heavily influenced by the term with the largest exponent. The most complex behavior will be near the origin, as all terms impact this behavior, but as the graph extends farther into positive and/or negative infinity, the behavior is almost totally defined by the first term. When sketching the general shape of a function, the most accurate method (if you cannot use a calculator) is to solve for some representative points (find y at x= 0, 1, 2, 5, 10, 20). If you connect the points with a smooth curve, you can make projections about where the graph is headed at either end.
End behavior is given by:
1. x^4. Terms with even exponents have endpoints at positive y ∞ for positive and negative x infinity.
2. -2x^2. The negative sign simply reflects x^2 over the x-axis, so the end behavior extends to negative y ∞ for positive and negative x ∞. The scalar, 2, does not impact this.
3. -x^5. Terms with odd exponents have endpoints in opposite directions, i.e. positive y ∞ for positive x ∞ and negative y ∞ for negative x ∞. Because of the negative sign, this specific graph is flipped over the x-axis and results in flipped directions for endpoints.
4. -x^2. Again, this would originally have both endpoints at positive y ∞ for positive and negative x ∞, but because of the negative sign, it is flipped to point towards negative y ∞.
N=8. All you have to do is count the amount of numbers after the 2 in 200,000,000. There are 8 numbers after the number 2 which makes n=8.
