Answer:
1). 
= (200 - 
)
2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
Step-by-step explanation:
Function representing the maximum heart rate is,
f(x) = 0.85(220 - x)
Here x = age of the client
Equation form of the function will be,
y = 0.85(220 - x)
To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.
x = 0.85(220 - y)
220 - y =
y = 220 -
Now convert this equation into a function.
= (200 - )
Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
Answer:
4
Step-by-step explanation:
13 - 5 = 8
2 x 4 = 8
8 + 5 = 13
The function is the Sine Curve
y = sine (x)
I think the answer is B.) 15
If you look at the number of students who like mathematics but not physics, that's 5 students.
Then we see that 20 students like physics but not mathematics.
So there's 15 more students<span>
</span>
Answer:
Yes
Step-by-step explanation:
You can get there a couple of ways. One makes use of the secant rules that tell you ...
PQ × PR = PS × PT
Substituting for PR and PT, you have ...
PQ × (PQ + QR) = PS × (PS + ST)
PQ² + PQ×QR = PS² + PS×ST
Substituting PQ for PS everywhere, we have ...
PQ² + PQ×QR = PQ² + PQ×ST
Dividing by PQ gives ...
PQ + QR = PQ + ST
and subtracting PQ leads us to the conclusion ...
QR = ST
_____
Another way to look at it is to draw the chord QS. Then ΔQPS is an isosceles triangle, and the perpendicular bisector of QS bisects ∠P and also goes through the circle center. Then the figure is symmetrical about that diameter secant, making QR ≅ ST.
