Answer:
The distance covered by the second cyclist in 45 minutes is (3/4·b + 9) miles
Step-by-step explanation:
The given parameters are;
The distance between the two cyclist when they begin biking away from each other = 7 miles
The first cyclist's speed = 12 miles per hour
The second cyclist's speed = 12 + b miles per hour
Therefore, we have;
The equation for distance covered, d = Speed × Time
The distance covered by the second cyclist in 45 minutes, is given as follows;
45 minutes = 3/4 hour
= (12 + b) × 3/4 = (3/4·b + 9) miles
The distance covered by the second cyclist in 45 minutes = (3/4·b + 9) miles.
If the roots of the equation f(x)=0 are -4,-1, 2 and 5, then binomials (x+4), (x+1), (x-2) and (x-5) are factors of needed polynomial.
Thus, the polynomial will have form
where a is real coefficient (positive or negative). This polynomial has degree 4 as needed.
The form of the graph depends on the sign of coefficient a. Attached diagrams show two different cases of possible forms of graphs (first one for positive coefficient a, second one for negative coefficient a).
