4.370 tenths. 4.400 hundredths
81.100 -> same answer
2.200
We know that, as per a corollary of intermediate value theorem, if a function f(x) is continuous on a closed interval [a,b], and values of f(a) and f(b) have opposite signs, then the function f(x) is guaranteed to have a zero on the interval (a,b).
So, basically, we need to figure out two values of x, at which the values of the given cubic function have opposite signs.
Let us consider the interval [-2,1].
We have . Upon substituting the values x=-2 and x=1 one by one, we get:
We can see that signs of values of the function at x=-2 and x=1 are opposite, therefore, as per intermediate value theorem, the function is guaranteed to have a zero on the interval [-2,1]
I think it’s the third one but I’m not %100 sure
Answer:
The distance r is
Step-by-step explanation:
we know that
Applying the Pythagoras Theorem
where
c is the hypotenuse
a,b are the legs
In this problem we have
substitute and solve for r
9+10=19 but if this was 2016 I’d say 21