r(x) = –x² + 3x
s(x) = 2x + 1
(s – r)(x) is simply the difference of these functions. Subtract r(x) from s(x):
(s - r)(x) = s(x) - r(x)
(s - r)(x) = 2x + 1 - (-x² + 3x)
(s - r)(x) = 2x + 1 + x² - 3x
(s - r)(x) = x² - x + 1
Step-by-step explanation:
The probability he makes both shots is:
P = (0.90)^2
P = 0.81
There's a 81% probability he makes both shots.
0.065 0.560 0.605 0.650
hope this helps
Answer:
a.) [1, infinity)
Step-by-step explanation:
The equation is that of a parabola that opens upward with vertex (1, 1). Hence the minimum value of f(x) is 1, and all values greater than that are part of the range: [1, ∞).
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The "vertex form" of the equation of a parabola is ...
f(x) = a(x -h)^2 + k
The vertex is at (h, k). When a > 0, the parabola opens upward. When a < 0, the parabola opens downward. Whichever way it opens, the value k is an extreme value and the limit of the range.