Answer:
Step-by-step explanation:
3x + 6 = 2x
3x - 2x = -6
x = -6
Answer:
Part A:
(2x+7)(5x+9)
=(2x+7)(5x+9)
=(2x)(5x)+(2x)(9)+(7)(5x)+(7)(9)
=10x2+18x+35x+63
=10x2+53x+63
A)
The formula for determining the area of a rectangle is given as
Area = length × width
Given that the length and width are (2x + 6) units and (5x + 3) units, the expression for the area is
(2x + 6)(5x + 3) = 10x² + 6x + 30x + 18
Area = 10x² + 36x + 18
B)
The degree is 2 because the highest power of the terms is 2. It is classified as a trinomial because it has 3 terms.
C) it is closed under multiplication. the exponents in the polynomials are whole numbers(2 and 1). The whole numbers are closed under addition, which means that the new exponents formed are also whole numbers. The exponents were whole numbers before multiplication and doesn't change after multiplication.
Step-by-step explanation:
Answer:
2.408
Step-by-step explanation:
![\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac{5n+15}{2n-1}\right)^n\right|}=\lim_{n\to\infty}\frac{5n+15}{2n-1}=\dfrac52](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bn%5Cto%5Cinfty%7D%5Csqrt%5Bn%5D%7B%5Cleft%7C%5Cleft%28%5Cfrac%7B5n%2B15%7D%7B2n-1%7D%5Cright%29%5En%5Cright%7C%7D%3D%5Clim_%7Bn%5Cto%5Cinfty%7D%5Cfrac%7B5n%2B15%7D%7B2n-1%7D%3D%5Cdfrac52)
Since this limit exceeds 1, the series diverges.
