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3 years ago

Every winter I fly home to Michigan it takes five hours what is my average speed

Mathematics

2 answers:

nignag [31]3 years ago

6 0

Well you did not say how many miles you are from Michigan

denis23 [38]3 years ago

3 0

So to find speed, you divide your total distance by the time it took to travel.

3,900 ÷ 5 = 780

You are going at a speed of 780 units per hour. You could always simplify it to seconds by merely dividing your speed by 60.

You might be interested in

Consider the function f(x)= 1-|x-1|+|x+1| for -3<x<3. Recall that the absolute function can be represented as a piece wise

Kruka [31]

By the definition for the absolute value,

$|x-1|=\begin{cases}x-1&\text{for }x\ge1\\-(x-1)&\text{for }x$
$|x+1|=\begin{cases}x+1&\text{for }x\ge-1\\-(x+1)&\text{for }x$

So for the compound function $f(x)=1-|x-1|+|x+1|$ , there are three intervals to consider. What happens when $x$ ? when $-1\le x$ ? when $x\ge1$ ?

You have

$f(x)=\begin{cases}1-(-(x-1))+(-(x+1))=-1&\text{for }x$

8 0

4 years ago

Question is below!!!!

wariber [46]

Answer:

Order the numbers from least to greatest.

75, 83, 89, 94, 98, 101, 105, 108, 111, 122, 125, 130

Minimum is 75

Q1 is 91.5

The median is 103.

Q3 is 116.5

Maximum is 130

Now, look at the answer choices.

B has the incorrect median

D has incorrect Q1.

A has incorrect Q3.

C is the answer.

3 0

3 years ago

Help pleaseeeeeeeeee

grigory [225]

Answer:

Function

Step-by-step explanation:

please give me brainlist

hope this helped

I just did this few days ago with my math teacher.

3 0

3 years ago

F(x)=x^3+3

lawyer [7]

Answer:

(a) -3/4

(b) -0.75

Step-by-step explanation:

It's a bit hard to tell what constitutes an "iteration" when using the bisection method to approximate a polynomial root. For the purpose here, we'll say one iteration consists of ...

evaluating the function at the midpoint of the bracketing interval
choosing a smaller bracketing interval
identifying the x-value known to be closest to the solution

Thus, the result of the iteration consists of a bracketing interval and the choice of one of the interval's ends as the solution approximation.

(a) We observe that the graphs intersect in the interval (-1, 0). For the first iteration, we evaluate f(x)-g(x) at x=-1/2. This tells us the solution is in the interval (-1, -1/2). The x-value closest to the root is x=-1/2.

For the second iteration, we evaluate the function f(x)-g(x) at x=-3/4. This tells us the solution is in the interval (-1, -3/4). The x-value closest to the root is x=-3/4.

For the third iteration, we evaluate the function f(x)-g(x) at x=-7/8. This tells us the solution is in the interval (-7/8, -3/4). The x-value closest to the root is x=-3/4.

(b) The graph tells us the solution is approximately 0.7549. Rounded to 2 decimal places, the solution is approximately 0.75.

(c) The above solution found after 3 iterations rounded to 2 decimal places is exactly 0.75.

See the attached table for function values.

_____

<em>Comment on bisection iteration</em>

Since you cut the interval containing the root in half with each iteration, you gain approximately one decimal place for each 3 iterations. When the function value is very nearly zero at one of the interval endpoints, it can take many more iterations to achieve a better result.

Here, it takes 4 more iterations before an x-value becomes closer to the solution (x≈-97/128). And it takes one more iteration to move the end of the interval away from -3/4. After these 5 more iterations (8 total), the solution is known to lie in the interval (-97/128, -193/256). The corresponding solution approximation is -193/256. It is still only correct to 2 decimal places.