Answer:
C = -27x^2 - 30x + 25
Step-by-step explanation:
C = (3x - 5)^2 - 36x^2
~Use FOIL
C = 9x^2 -30x + 25 - 26x^2
~Simplify
C = -27x^2 - 30x + 25
Best of Luck!
Answer : -5
Step by Step Explanation:
You first combine like terms which is -38 and 7, so subtract the 7 from the right and add it to -38.
That will give you 45. Then divide 9x and -45 by 9. That will give you -5
Answer:
Hi there!
Your answer is:
It will take 2.2 months for both gyms to be the same amount of money!
Step-by-step explanation:
Fitness 19:
39+ 17x
Anytime Fitness:
50+ 12x
Put them equal to each other:
39+17x = 50+12x
-12x
39+5x = 50
-39
5x = 11
/5
x= 2.2 months
39+17(2.2)= 76.4$
50+12(2.2)= 76.4$
Hope this helps!
Answer:
Step-by-step explanation:
The surface area of the square prism is obtained by using the following formula:
![A_{s} (t) = 4\cdot l(t)\cdot h(t) + 2\cdot [l(t)]^{2}](https://tex.z-dn.net/?f=A_%7Bs%7D%20%28t%29%20%3D%204%5Ccdot%20l%28t%29%5Ccdot%20h%28t%29%20%2B%202%5Ccdot%20%5Bl%28t%29%5D%5E%7B2%7D)
The rate of change of the surface area can be found by deriving the function with respect to time:
![\frac{dA_{s}}{dt} = 4\cdot [h(t)\cdot \frac{dl}{dt} + l(t)\cdot \frac{dh}{dt}] + 2\cdot l(t)\cdot \frac{dl}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdA_%7Bs%7D%7D%7Bdt%7D%20%3D%204%5Ccdot%20%5Bh%28t%29%5Ccdot%20%5Cfrac%7Bdl%7D%7Bdt%7D%20%2B%20l%28t%29%5Ccdot%20%5Cfrac%7Bdh%7D%7Bdt%7D%5D%20%2B%202%5Ccdot%20l%28t%29%5Ccdot%20%5Cfrac%7Bdl%7D%7Bdt%7D)
Known variables are summarized below:
The rate of change is:
![\frac{dA_{s}}{dt} = 4\cdot [(9\,km)\cdot (-7\,\frac{km}{min} )+(4\,km)\cdot (10\,\frac{km}{min} )] + 2\cdot (4\,km)\cdot (-7\,\frac{km}{min} )](https://tex.z-dn.net/?f=%5Cfrac%7BdA_%7Bs%7D%7D%7Bdt%7D%20%3D%204%5Ccdot%20%5B%289%5C%2Ckm%29%5Ccdot%20%28-7%5C%2C%5Cfrac%7Bkm%7D%7Bmin%7D%20%29%2B%284%5C%2Ckm%29%5Ccdot%20%2810%5C%2C%5Cfrac%7Bkm%7D%7Bmin%7D%20%29%5D%20%2B%202%5Ccdot%20%284%5C%2Ckm%29%5Ccdot%20%28-7%5C%2C%5Cfrac%7Bkm%7D%7Bmin%7D%20%29)
The music store is 1/2 , so:
1.8 ÷ 2 or 1.8 x 1/2
= 0.9
The music store is 0.9 miles from school (from home)
