Respuesta :
Answer:
211 years
Step-by-step explanation:
A formula for the normal systolic blood pressure for a man age A, measured in mmHg, is given as
[tex]P=0.006 A^2 -0.02A + 120[/tex] ....(1)
We need to find the age to the nearest year of a man whose normal blood pressure measures 125 mmHg.
Put A = 125 mmHg in the given equation.
[tex]P=0.006 (125)^2 -0.02(125) + 120\\\\=211.25[/tex]
So, the nearest age of a man is 211 years.
The age to the nearest year of a man whose normal blood pressure measures 125 mmHg is; A = 31 years
- We are given the formula for the normal systolic blood pressure for a man as;
P = 0.006A² - 0.02A + 120
Where;
P is normal systolic blood pressure
A is age of the man
- Thus, if the normal systolic blood pressure of the man is 125 mmHg, then;
125 = 0.006A² - 0.02A + 120
Using subtraction property of equality gives;
125 - 125 = 0.006A² - 0.02A + 120 - 125
0 = 0.006A² - 0.02A - 5
Using online quadratic equation solver gives;
A = 30.5823 or -27.2489
Age cannot be negative and so we take the positive one as;
A = 30.5823
Approximation to the nearest year gives;
A = 31 years
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