Here is the work and explained sentence :)
A coefficient of r = -1 is a negative so the dots would move downward as they move to the right ( higher dots are on the left side, lower dots on the right side. As the coefficient gets closer to -1 the dots form more of a straight line then being scattered across the graph.
The last graph, which is marked with the blue dot is the correct one.
Answer: The answer would be 3 +n +4 = 5
Step-by-step explanation:
Welcome
Kate will travel 8 feet backwards
Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}