What are the solutions of x²-4x+5=0?<br><br>

Find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below

Lyrx [107]

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

$slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Plug in the coordinates above:

$slope = \frac{-2-1}{2-(-1)}$

Simplify:

$slope = \frac{-3}{3} = -1$

Thus, the rate of change between the points is -1.

8 0

2 years ago

Three more than the quotient of a number and 8 is 9

Alborosie

Answer:

48

Step-by-step explanation:

x/8+3=9

x/8=9-3

x/8=6

x=6*8

x=48

4 0

3 years ago

Read 2 more answers

If you know the answer to these plz answer.

kondaur [170]

Answer:

Step-by-step explanation:

You can readily see from the diagram, above, that the side length of the middle cube will be between 3 and 4. You want to determine to the nearest hundredth what value between 3 and 4 represents the side length of the cube whose volume is 45 units^3.

Please note: the middle cube has been mislabeled. Instead of volume = 30 units^3, the volume should be 45 units^3.

Here's the procedure:

Guess an appropriate s value. Let's try s = side length = 3.5

Cube this: (3.5 units)^3 = 42.875. Too small. Choose a larger possible side length, such as 3.7: 3.7^3 = 50.653. Too large.

Try s = 3.6: 3.6^3 = 46.66. Too large.

Choose a smaller s, one between 3.5 and 3.6: 3.55^3 = 44.73. This is the best estimate yet for s. Continue this work just a little further. Try s = 3.57. Cube it. How close is the result to 45 cubic units?

7 0

2 years ago

Please help. Ella has 5 pink bows, 1 blue bow, and 4 purple bows in a box, she will randomly choose 1 bow from the box. What is

pogonyaev

Answer:

4/10 chance. Or 2/5. 40% chance.

Step-by-step explanation:

6 0

3 years ago

If a random sample of size nequals=6 is taken from a population, what is required in order to say that the sampling distributio

goldenfox [79]

Answer:

$\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})$

In order to satisfy this distribution we need that each observation on this case comes from a normal distribution, because since the sample size is not large enough we can't apply the central limit theorem.

Step-by-step explanation:

For this case we have that the sample size is n =6

The sample man is defined as :

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And we want a normal distribution for the sample mean

$\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})$

In order to satisfy this distribution we need that each observation on this case comes from a normal distribution, because since the sample size is not large enough we can't apply the central limit theorem.

So for this case we need to satisfy the following condition:

$X_i \sim N(\mu , \sigma), i=1,2,...,n$