9/20 because 0.08 is 8/100
We are given that:
x is the age, and
y is the heart rate
It is also given that
Now, we have been given that the person’s theoretical maximum heart rate (in heartbeats per minute) is where x is the person’s age in years.
Therefore, 50% of is
Likewise, 75% of is
Which is the same as The system of linear inequalities that describes the given information is y>120-1/2x (for 50% max heart rate) and y<165-3/4x (for 75%).
Thus, y will lie between these two extremes as:
The graph of the same is attached.
Answer:
6 : 1
Step-by-step explanation:
b - 3a / 9 = a /3
Cross multiply
3(b - 3a) = 9a
Expand
3b - 9a = 9a
Add 9a to both sides
3b = 9a + 9a
3b = 18a
Divide both sides by 3
b = 6a
Ratio of a : b
6 : 1
<span>What is the axis of symmetry for f(x)=5(x+7)(x-5)? Multiply out this polynomial to obtain the equation of a parabola in the form y = ax^2 + bx + c.
f(x) = 5(x^2 - 5x + 7x -35)
Holding the coefficient 5, we have 1x^2 - 2x - 35. Here a = 1 and b = -2, and
thus x = -b / (2a) provides the x-coord. of the axis of symm. It is:
x = -(-2) / (2*1) = 1.
The axis of symmetry is the vertical line x = 1.</span>