Answer:
When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.
Step-by-step explanation:
Got this from google hope it helps
Answer:
count the colors
Step-by-step explanation:
count the green, then the red, then the blue
Answer:
one pound is 4 dollars and 12 pounds would cost 48 dollars
Answer:
- 9x² + 10x + 4
Step-by-step explanation:
Calculate the subtraction as
- 4x² + 2x - 8 - (5x² - 8x - 12 ) ← distribute parenthesis by - 1
= - 4x² + 2x - 8 - 5x² + 8x + 12 ← collect like terms
= - 9x² + 10x + 4
Answer:
Step-by-step explanation:
Let y(t) be the amount of salt in the tank after time t.
(A) Incoming rate = 0 (due to Pure water having no salt)
(B) Mixed solution comes out at 150 L/min. Initially the tank has 15,000 L of brine with 24 kg of salt.
concentration of salt at time t = y(t) / 15000 kg/L
Outgoing rate = y(t)/15000 * 150 = y(t) / 100
(C) we know that,
Separate variable and integrate
![y= Ce^{\frac{-t}{100} }\ [C=e^{D} ]](https://tex.z-dn.net/?f=y%3D%20Ce%5E%7B%5Cfrac%7B-t%7D%7B100%7D%20%7D%5C%20%20%5BC%3De%5E%7BD%7D%20%5D)
At t= 0 , y(0) = 24 kg
C= 24
(D) Therefore, the amount of salt in the tank after time t :
