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Sunny_sXe [5.5K]
4 years ago
7

Find the product. (n + 7)2

Mathematics
1 answer:
nlexa [21]4 years ago
4 0
<span>(x-7)^2 = (x-7)(x-7) = x^2 -7x -7x +49 = x^2-14x+49</span>
answer is 'x^2+14x+49'
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What are the domain range of f(x)= 1/5 power of x
Snowcat [4.5K]

Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

I'm assuming you mean the function f(x)=x^{\frac{1}{5}}.  That's usually written

f(x) = x^(1/5) with the ^ meaning "to the power of..." and the fraction exponent in parentheses so as not to be confused with x^1/5 which could mean x to the first power, divided by 5.

Fractional exponents are used to indicate roots.  In this case, x is being raised to the 1/5 power, so this is the fifth root of x, written \sqrt[5]{x}.  The 5 is called the root index.

For odd roots, like this one, the domain is all real numbers--<em>x</em> can be any number at all.  So the domain is all real numbers.

The range is also all real numbers.  Attached is a graph of this function. It might not look like it, but the graph rises to the right to any height.  The larger <em>x</em> gets, the larger the 5th root gets.  A similar thing happens on the left--the smaller <em>x</em> gets, the smaller the 5th root gets.

EDIT: see the comment.  For the function f(x)=(1/5)^x, the domain is all real numbers. The range is positive real numbers.  I'll attach a graph!

3 0
4 years ago
Convert 5% into a fraction
andre [41]
5\% =  \dfrac{5}{100} =  \dfrac{1}{20}
6 0
3 years ago
When negative five is subtracted from a number the result is 10 find the number
levacccp [35]

Answer: second option.

Step-by-step explanation:

Let be "x" the unknown number.

According to the information provided in the exercise, 10 is the result of the subtraction of "x" and -5.

Based on this, you can write the following equation:

x-(-5)=10

To find the value of "x" you must remember the multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-

Then:

x-(-5)=10\\\\x+5=10

Finally, subtracting 5 from both sides of the equation, you get:

x+5-(5)=10-(5)\\\\x=5

3 0
3 years ago
Find the standard deviation of the following set of data (1.2, 2.3, 5.2, 6.6, 4.8)
Vesna [10]

Answer:

<u>The correct answer s B. 2.21</u>

Step-by-step explanation:

There are three steps to calculate the standard deviation of the set of data given.

n = 5 (5 numbers in the set)

1. Calculate the mean, this way:

(1.2 + 2.3 + 5.2 + 6.6 + 4.8)/5 = 20.1/5 = 4.02

μ = 4.02

2. Calculate the variance, this way:

Sum of the squared difference between each number of the set and the mean divided by the number of elements of the sample minus one.

[(1.2 - 4.02)² + (2.3 - 4.02)² + (5.2 - 4.02)² + (6.6 - 4.02)² + (4.8 - 4.02)²]/4 =

19.568/4 = 4.892

σ² = 4.892

3. Finally, the standard deviation. this way:

Standard deviation is the square root of the variance.

σ² = 4.892

√σ² = √4.892

σ = 2.21

<u>The correct answer s B. 2.21</u>

8 0
4 years ago
It cost Zachary $7.00 to send 140 text messages. How many text messages did he send if he spent $0.85?
trasher [3.6K]

Answer:

17 messages.

Step-by-step explanation:

Divide 140 by 7 to get 20.

This means it costs 1 dollar for 20 messages.

And therefore 17 messages for 85c.

5 0
3 years ago
Read 2 more answers
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