The average rate of change for the function f(x)= 3^x + 25 using the intervals of x=2 to x=6 is 6.75
The function is given as:
f(x) = 3^x + 25
The interval is given as:
x = 2 to 6
Start by calculating f(2) and f(6)
f(2) = 3^2 + 25 = 34
f(6) = 6^2 + 25 = 61
The average rate of change is then calculated as:
This gives
m = 6.75
Hence, the average rate of change is 6.75
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Answer:
5k²+8k+3
Step-by-step explanation:
5k²+5k+3k+3
5k²+8k+3
<span>For the answer to this question,
Let x = depth of the gutter
then
18 - 2x = width of the gutter
Cross section area
A = depth x width
</span><span> = x(18 - 2x)
A = 18x - 2x^2
:
Axis of symmetry will give x value for max area:
x = -b/(2a)
x = -18/(2x(-2))
x = 4.5 inches is the depth for max area
</span><span>Max area: 4.5 * 9 = 40.5 sq/in
I hope my answer helped you.</span>
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 = 
(find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
Answer: 110
The 3 figures showed the same pattern by multiplying 2 consecutive whole numbers starting from one. Multiplying 1 by 2 gets 2, 2 by 3 gets 6, 3by 4 results to 12 and so on. If this pattern continues, then 4 will be multiplied by 5, 5 by 6, 6 by 7, 7 by 8, 8 by 9, 9 by 10, and lastly the 10th figure 10 by 11 which is equal to 110.
