Answer:
or
Step-by-step explanation:
we have
This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
Convert to vertex form
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
----> equation in vertex form
or
The vertex is the point (0.25,10.5)
Answer:
(4, 1)
Step-by-step explanation:
3x+4y=16 /*4
-4x-3y= - 19 /*3
12x + 16y = 64
<u>- 12x - 9y = - 57 </u>
7y = 7
y = 1
3x+4y=16
3x + 4*1 = 16
3x = 16 - 4
3x = 12
x = 4
Answer:
simplified 10k-1a-10
Step-by-step explanation:
Simplified
Answer:
![c(t) = 120 [0.7]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20120%20%5B0.7%5D%5E%7Bt%7D%20)
Step-by-step explanation:
At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter.
From that moment forward, the medicine's concentration drops by 30% each hour.
Therefore, the medicine concentration c(t) in mg/liters after t hours will be modeled as
![c(t) = c(0) [1 - \frac{30}{100}]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20c%280%29%20%5B1%20-%20%5Cfrac%7B30%7D%7B100%7D%5D%5E%7Bt%7D%20)
⇒ ![c(t) = c(0) [1 - 0.3]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20c%280%29%20%5B1%20-%200.3%5D%5E%7Bt%7D%20)
⇒ . (Answer)
