Answer:
Step-by-step explanation:
Given:
for x≤1400; N = 5
So, Δx = 
=∑C(a + nΔx).Δx
=C(0)Δx + C(280)Δx + C(560)Δx + C(840)Δx + C(1120)Δx
= Δx[C(0) + C(280) + C(560) + C(840) + C(1120)]
= 280[49 + 42.616 + 34.664 + 25.144 + 14.056]
=280[165.48]
=46334 approx
Answer:
41.74 and 41.89
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Required
f(10)
An exponential function is represented as:
impleies that:
--- (1)
implies that
--- (2)
Divide (2) by (1)
Take 4th root
Substitute in
Solve for (a)
f(10) is calculated as:
Answer:
Step-by-step explanation:
Since G(0) = g(0) = 20, the parabolic graphs of these functions share a y-intercept: (0, 20).
Completing the square puts these equations into vertex form, which simplifies comparisons of the graphs:
G(x) = 2x^2 - 12x + 20 becomes
2(x^2 - 6x + 9 - 9) + 20, or
2(x - 3)^2 - 18 + 20, or 2(x - 3)^2 + 2. Comparing this result to
a(x - h)^2 + k, we see that the vertex is located at (3, 2).
Going through the same process for g(x) 2x^2+12x+20, we get:
g(x) = 2(x + 3)^2 + 2, whose vertex is at (-3, 2).
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