21/7 + 3/7(3x - 5) = -4
21/7 + 9/7x - 15/7 = -4.....multiply everything by 7
21 + 9x - 15 = - 28
9x + 6 = -28
9x = -28 - 6
9x = - 34
x = -34/9 or - 3 7/9
Actually, this graph has two asymptotes: a vertical one and a horiz. one.
Note that we cannot divide by zero. Thus, x = 0 is the vertical asymptote.
Note that as x continues to grow, y tends towards zero. Thus, y = 0 is the horiz. asy.
Answer:
A
Step-by-step explanation:
4x + 5 = 30 ( subtract 5 from both sides )
4x = 25 ( divide both sides by 4 )
x = 
Answer:
5.09 units
Step-by-step explanation:
Given equation
in the interval 
So we integrate
in the given interaval

Let us integrate
first.
let



Using integration by parts we get




So here
![\int f(x)=2\int\limits^4_1 {\ln x}dx\\ =2(x\ln x-x)_1^4\\ =2[(4\ln 4-4)-(1\ln 1-1)]\\ =2[4\ln 4-4+1]\\ =5.09\ units](https://tex.z-dn.net/?f=%5Cint%20f%28x%29%3D2%5Cint%5Climits%5E4_1%20%7B%5Cln%20x%7Ddx%5C%5C%20%3D2%28x%5Cln%20x-x%29_1%5E4%5C%5C%20%3D2%5B%284%5Cln%204-4%29-%281%5Cln%201-1%29%5D%5C%5C%20%3D2%5B4%5Cln%204-4%2B1%5D%5C%5C%20%3D5.09%5C%20units)
The area of the the region between the curve and horizontal axis is 5.09 units.