9514 1404 393
Answer:
-25 dollars per month
Step-by-step explanation:
It is convenient to compute the rate of change using points where the graph crosses grid intersections. A couple of these are ...
(months, dollars) = (1, 675) and (4, 600)
Using the slope formula, we have ...
m = (y2 -y1)/(x2 -x1)
m = (600 -675)/(4 -1) = -75/3 = -25 . . . . . dollars/month
Answer:
-3, 1, 5, 9
Step-by-step explanation:
2(2) - 7 = -3
2(4) - 7 = 1
2(6) - 7 = 5
2(8) - 7 = 9
As the cube has 6 faces the area of one face will be 864 / 6 = 144 in^2
so each edge = 12 in
Volume of cube = 12^3 = 1728 in^3
9514 1404 393
Answer:
(c) P(x) = x^4 +3x^3 -10x^2 -30x
Step-by-step explanation:
If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.
Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...
P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))
P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)
P(x) = x^4 +3x^3 -10x^2 -10x
