Let 2k represent the original even number (such that k is an integer)
then 2(k + 1) is the next consecutive even number.
4(2k) - 16 = 2(k + 1)
8k - 16 = 2k + 2
6k = 18
k = 3
since 2k represents the original number, then 2(3) = 6 is the oroginal number
Answer: 6
Answer:convergent
Step-by-step explanation:
Given
Improper Integral I is given as
integration of 
is
![I=1000\times \left [ e^x\right ]^{0}_{-\infty}](https://tex.z-dn.net/?f=I%3D1000%5Ctimes%20%5Cleft%20%5B%20e%5Ex%5Cright%20%5D%5E%7B0%7D_%7B-%5Cinfty%7D)
![I=1000\times I=\left [ e^0-e^{-\infty}\right ]](https://tex.z-dn.net/?f=I%3D1000%5Ctimes%20I%3D%5Cleft%20%5B%20e%5E0-e%5E%7B-%5Cinfty%7D%5Cright%20%5D)
![I=1000\times \left [ e^0-\frac{1}{e^{\infty}}\right ]](https://tex.z-dn.net/?f=I%3D1000%5Ctimes%20%5Cleft%20%5B%20e%5E0-%5Cfrac%7B1%7D%7Be%5E%7B%5Cinfty%7D%7D%5Cright%20%5D)
so the integration converges to 1000 units
Fee of $65
$10.50 per hour
'x' represents hours
Therefore we have:
y = 10.50x + 65
Because 10.50 is the cost per hour, and x represents hours, so we put these together. 65 is a one-time fee, so we just add it on.
9514 1404 393
Answer:
8/5 = 1.6
Step-by-step explanation:
It looks like the line crosses grid points (-4, -4) and (1, 4). This means the slope is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-4))/(1 -(-4)) = 8/5 = 1.6
The slope of the line seems to be about 8/5, or 1.6.
