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ohaa [14]
3 years ago
12

Please anwser fast and give an explanation step by step thank you

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

What is the question?

You might be interested in
Describe the 2 transformations that occur when the graph of f(x) =x −−√ is transformed to the graph of g(x) = 2x√ +3 .
Flauer [41]

Answer:

Dilation followed by Translation.

Step-by-step explanation:

We have the function f(x)=\sqrt{x}.

The new transformed function is g(x)=2\sqrt{x}+3

Now, the transformation applied to f(x) to obtain g(x) are:

1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.

Since, we are dilating the given function by 2 units, the new dilated function becomes 2\sqrt{x}.

2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.

As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes g(x)=2\sqrt{x}+3.

Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.

5 0
3 years ago
(a)<br> Solve.<br> 3x – 4 = x + 5
exis [7]

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

3x - 4 = x +5      (1) subtract x

2x - 4 = 5        (2) subtract 5

2x + 1              (3) divide by 2

x = 1/2 or 0.5

4 0
3 years ago
what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed
kramer

Answer:

P(x \le 21) = 0.69146

Step-by-step explanation:

The missing parameters are:

n = 64 --- population

\mu = 20 --- population mean

\sigma = 16 -- population standard deviation

Required

P(x \le 21)

First, calculate the sample standard deviation

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{16}{\sqrt {64}}

\sigma_x = \frac{16}{8}

\sigma_x = 2

Next, calculate the sample mean \bar_x

\bar x = \mu

So:

\bar x = 20

So, we have:

\sigma_x = 2

\bar x = 20

x = 21

Calculate the z score

x = \frac{x - \mu}{\sigma}

x = \frac{21 - 20}{2}

x = \frac{1}{2}

x = 0.50

So, we have:

P(x \le 21) = P(z \le 0.50)

From the z table

P(z \le 0.50) = 0.69146

So:

P(x \le 21) = 0.69146

4 0
3 years ago
When y = 35,x = 2.5. If the value of y varies directly with x what is the value of y when the value of xis 3.25
leonid [27]

Answer:

The value of y would be 45.5

Step-by-step explanation:

To solve this problem, start with the base form of direct variation.

y = kx

Now we can use our original values to model the equation and find k.

35 = k(2.5)

14 = k

Now we can model the equation as:

y = 14x

Now to find y, when x = 3.25, simply put 3.25 into the equation.

y = 14(3.25)

y = 45.5

8 0
4 years ago
"3. When we have two sorted lists of numbers in non-descending order, and we need to merge them into one sorted list, we can sim
iren [92.7K]

Answer:

Since we extract n elements in total, the algorithm for the running time for K sorted list is O (n log k+ k) = O (n log k)

Step-by-step explanation:

To understand better how we arrived at the aforementioned algorithm, we take it step by step

a, Construct a min-heap of the minimum elements from each of "k" lists.

The creation of this min-heap will cost O (k) time.

b) Next we run delete Minimum and move the minimum element to the output array.

Each extraction takes O (log k) time.

c) Then insert into the heap the next element from the list from which the element was extracted.

Now, we note that  since we extract n elements in total, the running time is

O (n log k+ k) = O (n log k).

So we can conclude that :

Since we extract n elements in total, the algorithm for the running time for K sorted list is O (n log k+ k) = O (n log k)

5 0
3 years ago
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