Use the inermediate value Theorem to choose an interval over which the function f(x)=-2x^3-3x+5, is guaranteed to have a zero. 1. [-3,-2]
2. [-2,0]
3. [0,2]
4. [2,4]

Choice 3: [0, 2]

Step-by-step explanation:

The Intermediate Value Theorem states that if we have a continuous function f over the interval [a, b] and k is a number between f(a) and f(b), then there must at least one point c within [a, b] such that f(c)=k.

Then, by the IVT, if the endpoints differ in signs, then we must have a zero within the interval since f must cross the x-axis in order to change signs.

So, we will test the endpoint values for each interval.

We have the function:

Choice 1:

Testing for the endpoints, we get:

And:

Since both values are positive, we are not guaranteed a zero for the interval [-3, -2].

Choice 2:

Testing endpoints, we get:

Again, both values are positive, so we are not guaranteed a zero.

Choice 3:

We get:

Since the values are of different signs, by the IVT, we are guaranteed a zero by for the interval [0, 2] since the function must cross the x-axis in order to become negative.

So, Choice 3 is correct.

Choice 4:

We get:

Both values are negative, so we are not guaranteed a zero.

Note: We may have a zero for the other three intervals. For instance, for [-3, -2], maybe we went from positive to negative to positive again all within the interval [-3, -2]. However, the only interval that guarantees a zero will be C.

which expression can be used to convert 80 us dollars (usd) to australian dollars (aud)?

1 usd = 1.0343 aud

1 aud = 0.9668 usd

step-by-step explanation:

sorry just need the points

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week