Answer:
m(x) = (8 oz/day)x oz
Step-by-step explanation:
Since x measures time, in days, start your x-axis at (0,0).
The rate at which you drink milk is 8 oz/ day.
If x represents the number of days you drink milk (same amount daily), the desired equation is
m(x) = (8 oz/day)x oz
Answer: 19200 years
Step-by-step explanation:
The fossil in the above question has aged for 3.3 half lives. Since the half life of a fossil is given as 5730 years, the age of the fossil will be given as:
= 5730 years × 3.3333333
= 19200 years
Therefore, the age of the fossil is 19200 years.
Use completing the square:
Ex:
Now apply to your problem.
First factor out the '4' in front of the 'x^2' term
Apply completing the square:
![y = 4(x^2 + \frac{7}{4}x +(\frac{7/4}{2})^2 -(\frac{7/4}{2})^2) \\ \\ y = 4[(x^2 + \frac{7}{4}x+\frac{49}{64}) - \frac{49}{64} ] \\ \\ y = 4(x + \frac{7}{8})^2 - \frac{49}{16}](https://tex.z-dn.net/?f=y%20%3D%204%28x%5E2%20%2B%20%5Cfrac%7B7%7D%7B4%7Dx%20%2B%28%5Cfrac%7B7%2F4%7D%7B2%7D%29%5E2%20-%28%5Cfrac%7B7%2F4%7D%7B2%7D%29%5E2%29%20%5C%5C%20%20%5C%5C%20y%20%3D%204%5B%28x%5E2%20%2B%20%5Cfrac%7B7%7D%7B4%7Dx%2B%5Cfrac%7B49%7D%7B64%7D%29%20-%20%5Cfrac%7B49%7D%7B64%7D%20%5D%20%5C%5C%20%20%5C%5C%20y%20%3D%204%28x%20%2B%20%5Cfrac%7B7%7D%7B8%7D%29%5E2%20-%20%5Cfrac%7B49%7D%7B16%7D)
You'll have to do two multiplications:
16.75 x 10 = 167.5 cost for 10 sardine cans.
21.50 x 10 = 215 cost for 10 pork and beans cans.
