Answer:
4006.5
Step-by-step explanation:
4004 + 4009 = 8013
8013 ÷ 2 = 4006.5
Answer:
The degree is even and the leading coefficient is negative.
Step-by-step explanation:
Given that the end behavior of the function is decreasing on the right, this means that x approaches positive infinity as y approaches negative infinity, which tells us that our leading coefficient is negative. Additionally, since our function is increasing on the left, then our function is even, which is symmetric to the origin.
Answer:
b² +12b +32 = (b+4)(b+8)
Step-by-step explanation:
The product of binomial factors (x+a) and (x+b) is ...
(x+a)(x+b) = x² +ax +bx +ab
= x² + (a+b)x + ab
That is, the coefficient of x is the sum of factors of the constant term.
In order to determine "a" and "b", you can look at the factors of 32 and see which pair has a sum that is 12.
32 = 1×32 = 2×16 = 4×8
The last factor pair has a sum that is 12, so your factorization can be
b² +12b +32 = (b+4)(b+8)