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Blababa [14]
3 years ago
10

Write an equation that represents the transformations formed by the following items:

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer:

a) f(x) = \frac{1}{3} \sqrt{x+4}

b) f(x)=4\sqrt{x} + 3

c) f(x) = 2\sqrt{x} -6

Step-by-step explanation:

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Find the standard deviation of the given data rounded to the nearest hundredth. 12, 53, 141, 219,500
MrRissso [65]

STEP 1: Compute the mean

The mean of the dataset is the sum of the elements divided by their number:

\dfrac{12+53+141+219+500}{5}=185

STEP 2: Compute the residuals

You have to compute the difference between every element and the mean:

12-185,\ 53-185,\ 141-185,\ 219-185,\ 500-185 = -173,\ -132,\ -44,\ 34,\ 315

Step 3: Square the residuals:

29929,\ 17424,\ 1936,\ 1156,\ 99225

Step 4: Sum the squared the residuals:

29929 + 17424 + 1936 + 1156 + 99225 = 149670

Step 5: Divide by the number of elements in the dataset:

\dfrac{149670}{5} = 29934

Step 6: Consider the square root of the result:

\sqrt{29934} \approx 173.01

The formula we used is

\sigma = \sqrt{\dfrac{\left(\sum_{i=1}^n (x_i-\mu)\right)^2}{n}}

where \sigma is the standard deviation, x_i are the elements in the dataset, n is the number of elements in the dataset, and \mu is the mean of the dataset.


5 0
3 years ago
PLZZZ HELP MEEEE
notka56 [123]
The answer would be a would just have to look up 32% as a decimal
3 0
3 years ago
Read 2 more answers
Which division sentence is related to the product of a/3 (a/3) when A is not equal to 0?
Anon25 [30]

Answer:

Option 4.

Step-by-step explanation:

Reciprocal of the second fraction turns the product into the division of the two fractions, which equals to 1.

a/3(a/3)

a/3 \div 3/a=1

Two fractions are said to be the reciprocal or multiplicative inverse of each other, if their product is 1.

3 0
3 years ago
Sketch the graph of y = (x + 3)2 – 4 and identify the axis of symmetry.
Sloan [31]

Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.

Explanatio: This can be found by looking at the basic form of vertex form:

y = (x - h)^2 + k

In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).

It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

i hope this helps u

4 0
3 years ago
Solve 3(x+2) - 4 = 2(x-1) +5
maks197457 [2]

Answer:

x=1

Step-by-step explanation:

3(x+2) - 4 = 2(x-1) +5

Distribute

3x +6 -4  = 2x -2 +5

Combine like terms

3x +2 = 2x +3

Subtract 2x from each side

3x-2x +2 = 2x-2x+3

x+2 =3

Subtract 2 from each side

x+2-2 = 3-2

x=1

5 0
3 years ago
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