Answer:
switched signs around
Step-by-step explanation:
I believe that s/he switched the signs around so
|x|>5 is solved by x<-5 and x>5
but I'm not quite sure, sorry
Answer:
exact: 48pi cm^2
approximate: 150.8 cm^2
Step-by-step explanation:
SA = 2 * (pi)r^2 + 2(pi)rh
SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm
SA = pi(18 cm^2 + 30 cm^2)
SA = 48pi cm^2
SA = 150.8 cm^2
Step 1: Find the slope:

This gives you
, but we need to find b.
To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):
![\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D-2%26%3D-%5Cdfrac%7B3%7D%7B2%7D%284%29%2Bb%5C%5C%5B0.5em%5D-2%26%3D-6%2Bb%5C%5C%5B0.5em%5D4%26%3Db%5Cend%7Baligned%7D)
Now take that b-value and plug in into the slope-intercept form:

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.
Answer:
The better one is $6 for 24 oz bottle
Step-by-step explanation:
If it cost 4 dollars for a 12 oz bottle and that would cost 1 dollar per 3 oz but for the 6 dollar for a 24 oz bottle it would be 1 dollar per 4 oz so 6 dollars for a 24 oz bottle is better!