The approximate age of a woman whose normal systolic pressure measures 125 mm Hg is 31
The function is given as:
![P(A) = 0.006A^2 - 0.02A + 120](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.006A%5E2%20-%200.02A%20%2B%20120)
When the normal systolic pressure is 125, it means that:
![P(A) = 125](https://tex.z-dn.net/?f=P%28A%29%20%3D%20125)
So, we have:
![125 = 0.006A^2 - 0.02A + 120](https://tex.z-dn.net/?f=125%20%3D%200.006A%5E2%20-%200.02A%20%2B%20120)
Subtract 125 from both sides of the equation
![0= 0.006A^2 - 0.02A + 120 -125](https://tex.z-dn.net/?f=0%3D%200.006A%5E2%20-%200.02A%20%2B%20120%20-125)
![0= 0.006A^2 - 0.02A - 5](https://tex.z-dn.net/?f=0%3D%200.006A%5E2%20-%200.02A%20-%205)
Rewrite the equation as:
![0.006A^2 - 0.02A - 5 = 0](https://tex.z-dn.net/?f=0.006A%5E2%20-%200.02A%20-%205%20%3D%200)
Using a graphing calculator, we have:
![A = \{30.58, -27.25\}](https://tex.z-dn.net/?f=A%20%3D%20%5C%7B30.58%2C%20-27.25%5C%7D)
But age cannot be negative.
So, we have:
![A = 30.58](https://tex.z-dn.net/?f=A%20%3D%2030.58)
Approximate
![A =31](https://tex.z-dn.net/?f=A%20%3D31)
Hence, the age of the woman is 31
Read more about quadratic functions at:
brainly.com/question/11441586