9514 1404 393
Answer:
r = ±√47
Step-by-step explanation:
-7r^2 = -329 . . . . given
r^2 = 47 . . . . . divide both sides by -7 (multiplication property of equality)
r = ±√47 . . . . square root both sides (square root property of equality)
The last answer is correct
x= 45 degrees
y= 10.9sqrt2
Answer:
Analyzed and Sketched.
Step-by-step explanation:
We are given ![y=\frac{\ln\left(5x)}{x^2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Cln%5Cleft%285x%29%7D%7Bx%5E2%7D)
To sketch the graph we need to find 2 components.
1) First derivative of y with respect to x to determine the interval where function increases and decreases.
2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.
![y'=\frac{1-2\ln\left(5x)}{x^3}=0](https://tex.z-dn.net/?f=y%27%3D%5Cfrac%7B1-2%5Cln%5Cleft%285x%29%7D%7Bx%5E3%7D%3D0)
is absolute maximum
![y''=\frac{6\ln\left(5x)-5}{x^4}=0](https://tex.z-dn.net/?f=y%27%27%3D%5Cfrac%7B6%5Cln%5Cleft%285x%29-5%7D%7Bx%5E4%7D%3D0)
is the point concavity changes from down to up.
Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.
The graph is given in the attachment.
Well since we already have our unit per mile.
We know that 1 mile = $3.50
And that the tow company towed the car 12 miles.
So we would have to multiply 12 by $3.50
soo..
12 x $3.50 = $42.00
So your answer is D. $42.00