2.) line passes through points (-1, -4) and (0, -1)
slope = (y2 - y1)/(x2 - x1) = (-1 - (-4))/(0 - (-1)) = (-1 + 4)/(0 + 1) = 3/1 = 3
4.) line passes through points (0, -3) and (2, 0)
slope = (0 - (-3))/(2 - 0) = (0 + 3)/2 = 3/2
1.6 miles, because she started at -0.2, meaning you have to add another 0.2 to the total she hiked vertically. If she'd started 0.2 above sea level, you'd have to subtract 0.2 from 1.4.
Answer:
There are no positive roots
Step-by-step explanation:
The Descartes' rule posits that, given a polynomial with real coefficients ordered, the number of positive roots is equal to the amount of sign-changes OR to such amount minus a number multiple of 2. In you polynomial P(x)=x^3+6x^2+9x+5 you have NO sign-changes, as every coefficient is positive. So, we can confirm that, if the polynomial has real roots, none of these are positive. As 0 can'y be a root of P(x) (replace x=0 and confirm), if there is some root, it will be a negative root. However, the rule can't confirm that there are roots.