Answer:
Step-by-step explanation:
E=9x-38
F=2x+40
9x+2x+2=90
11x=90-2
11x=88
x=88/11=8
F=2*8+40
16+40
=56
The tax rate is 5 cents per dollar because 1.25 divided by 25 is .05
A three-dimensional box-shaped figure, with six identical square faces
Answer:
A
Step-by-step explanation:
First, simplify the expression
![\dfrac{x}{x^2+1}+\dfrac{2x^2}{x^3+x}=\dfrac{x}{x^2+1}+\dfrac{2x^2}{x(x^2+1)}=\dfrac{x^2+2x^2}{x(x^2+1)}=\dfrac{3x^2}{x(x^2+1)}.](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7Bx%5E2%2B1%7D%2B%5Cdfrac%7B2x%5E2%7D%7Bx%5E3%2Bx%7D%3D%5Cdfrac%7Bx%7D%7Bx%5E2%2B1%7D%2B%5Cdfrac%7B2x%5E2%7D%7Bx%28x%5E2%2B1%29%7D%3D%5Cdfrac%7Bx%5E2%2B2x%5E2%7D%7Bx%28x%5E2%2B1%29%7D%3D%5Cdfrac%7B3x%5E2%7D%7Bx%28x%5E2%2B1%29%7D.)
Then the limit is
![\lim_{x \to \infty} \dfrac{3x^2}{x(x^2+1)}.](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Cdfrac%7B3x%5E2%7D%7Bx%28x%5E2%2B1%29%7D.)
Since the denominator of this fraction has greater power (the power of the denominator is 3) than numerator has (the power of numerator is 2), by the limit theorem this limit is equal to 0.