9514 1404 393
Answer:
f(x) = -1/3x +23/3
Step-by-step explanation:
You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:
f(x) = -1/3x +23/3
__
Approaching this in the usual way, we recognize we have points ...
(-1, 8) and (5, 6)
The slope of the line through those points is ...
m = (y2 -y1)/(x2 -x1)
m = (6 -8)/(5 -(-1)) = -2/6 = -1/3
Then the point-slope equation of the line is ...
y - 8 = -1/3(x +1)
Adding 8 gives us a form we can use for a function definition:
f(x) = -1/3(x +1) +8
f(x) = -1/3x +7 2/3
Answer:
_______________________________________________
1)
72
cm² / min. ;
_______________________________________________
2)
192 cm² / min. _______________________________________________Explanation:____________________________________________ Area of a circle: A =
r² ;
Rate of change of Area is: da/dt = 2
r (dr/dt) ;
Given: dr/dt = 3 cm / min.
______________________________________________________ Problem 1)____________________________________________________________dA/dt = 2
*(12 cm)*(3 cm/ min) =
72 cm² / min. ;
____________________________________________________________ Problem 2)____________________________________________________________dA/dt = 2
*(32 cm)*(3 cm/ min) =
192 cm² / min._____________________________________________________________
Answer:
1/6
Step-by-step explanation:
36=6^2
(6^3)^1/2
Okay for problem 1 heres my explanation
So if you can get 4 bags for 5 cents so I multiplied 5 by 5 to get 25 cents and multiplied 4 by 5 and got 20 for 25 cents but the machine sells you 9 for 25 cents so if you get the m&ms from Jeanie you'll get more for your money if you get it from jeanie
Now problem 2
Now if tom sells 10 cards for 35 cents so theres a 5 cent difference for 2 more cards now 3 cents will be the most likley for the price for one of toms cards and toms price should have been 33 cents so your only being robbed of 2 cents not a big amount but we'll still look at the other guy 12 cards for 40 cents now if we look at how much toms cards will be if you bought 12 is only 39 cents 1 cent less than the other guy so in conclusion if you buy from Tom you get the better buy
Now problem 3
simple mutipily 19x4 and 76 cents the guys at the firework stands charge 85 for four so if you go to the hardware store and buy your fireworks there you get a better deal.
okay so im running out of time so someone else is gonna answer the last problem... sorry m8
-8/10,-12/15,-16/20,-20/25,-24/30,etc.
