Slope 2/1, y intercept is 6, equation is f(x)=6-2x
Answer:
15 miles
Step-by-step explanation:
Let
be the miles in the circular park path,
the time Louisa takes to finish and
the time Calvin takes to finish both in hours.
Then
, the longitude is equal to the velocity times the time used to finish. So


And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

Three equations, three unknowns, the system can be solved.
Equalizing the equation with x :

In this last equation replace
with the other equation and solve:
With Louisa's time find x:
STEP
1
:
Equation at the end of step 1
((3 • (x3)) - (32•5x2)) + 150 = 0
STEP
2
:
Equation at the end of step
2
:
(3x3 - (32•5x2)) + 150 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x3 - 45x2 + 150 = 3 • (x3 - 15x2 + 50)
Polynomial Roots Calculator :
4.2 Find roots (zeroes) of : F(x) = x3 - 15x2 + 50
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 50.
The factor(s) are:
C is the answer I believe