Answer:
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form

is equal to
in this problem we have
equate to zero
so
substitute in the formula
Answer:
33 years
Step-by-step explanation:
Given the quadratic model :
P=0.006A2−0.02A+120
P = blood pressure ; A = Age
Given a blood pressure value of 126 mmHg ; the age, A will be ;
The equation becomes :
126 = 0.006A2−0.02A+120
0.006A² - 0.02A + 120 - 126 = 0
0.006A² - 0.02A - 6 = 0
Using the quadratic formula :
-b ± (√b²-4ac) / 2a
a = 0.006 ; b = - 0.02 ; c = - 6
Using calculator :
The roots are :
a = 33.333 or a = - 30
Age cannot be negative, hence, the age, A will be 33.333
Total the nearest year ; Age = 33 years
Answer:
Inequality (1) → y > 2x
inequality (2) → x ≥ -2
Step-by-step explanation:
If the inequality (1) is a dotted line passing through origin.
Since, shaded area is above the dotted line,
Equation of the inequality will be in the form of y > mx +b
Here m = slope of the dotted line
b = y-intercept
Since, this line is passing through the origin,
Therefore, y-intercept = 0
Slope 'm' of the line = 
= 
m = 2
Inequality (1) → y > 2x
Second inequality is represented by the shaded area on the right side of the dark vertical line, x = -2,
Therefore, inequality 2 will be → x ≥ -2