F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
Answer:
The answer is D
Step-by-step explanation:
- Let's see all choices in detail
A . 0 it is correct because 0 is an integer
B .It seems like rational number but it is not simplified yet so -18 \ 2= -9
C .

D . 4\5 it is decimal so it is rational number not integer
I hope u like it
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-23/6,-2.18,√17,8 7/12,8.6,3√12
Answer:
See below.
Step-by-step explanation:
It is a mathematical statement that has been proven by using previously established statements (which are often other theorems).