Answer : (0,3) U (3, ∞)
We need to find the interval(s) over which the function is decreasing
We look at the intervals of x where the graph is decreasing
Decreasing interval of the graph is the part where the graph goes down
We look at the part where the graph changes direction
In the middle inverted U shaped graph , the graph changes direction and start decreasing at x=0
the graph is decreasing till x=3
so first decreasing interval is x=0 to 3. we write it as (0,3)
After x=3 the graph starts decreasing and it goes to infinity
So the second decreasing interval is 3 to infinity . We write it as (3, ∞)
Now combine both intervals by a 'U' union
(0,3) U (3, ∞)
18+ 13 gives you 31 so the difference between 13 and 31 is 18.
the answer is 31
Answer:
rate = 0.4 %
Step-by-step explanation:
Interest = principal x rate x time
33549 = 8635 x r x 11
33549 = 94985r
r = 33549/94985
r = 0.3532
r = 0.4
rate = 0.4 %
The average rate of change of the function is -35/16.
<h3>How to find the average rate of change of the function?</h3>
We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ 8.
so
at x₁ = -8, f(x₁) = f(-8) = 30
at x₂ = 8, f(x₂) = f(8) = -5
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [f(8) - f(-8) ] / [8-(-8)]
= [-5 - (30)] / [16]
= [-35] / 16
Therefore, the average rate of change of the function is -35/16.
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Answer:
27/220.
Step-by-step explanation:
To get £2.50 Pita has to take two pound coins and one 50p coin.
The probability of picking £1 then £1 then 50 p = 3/12 * 2/11* 9/10
= 9/220.
The number of possible arrangements of 2 pounds and 1 50p
= £-£-50, £-50-£ and 50-£-£.
= 3
So the required probability = 3 * 9/220
= 27/220.