Given the following linear function sketch the graph of the function and find the domain and range.

Mathematics

2 answers:

vfiekz [6]3 years ago

6 0

domain of the problem is -5 and the range is 4

katrin [286]3 years ago

3 0

Answer:

$D=x\in R$

$R=x\in R$ .

Step-by-step explanation:

(The graph is attached)

Remember that the domain is the set which contains all the values that x can use. In this case, the x can use all values possible, therefore, we say that the domain is all Real Number Set. $D=x\in R$

Similarly, the range is the set which contains all values that y can use. In this case, the y can use all values possible. Therefore, the range is $R=x\in R$ .

Generally, all linear functions have this domain and range because they don't have any special restriction like rational or irrational functions.

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About how much greater is the perimeter of a square with area of 250 square meters than a square of 125 square meters?

Dmitry_Shevchenko [17]

The area of the firs square is 250 square meters. We need to first find out from this information the length of each side this square.

We use square root because we are dealing with a square shape whose sides are all equal in measurement.

Square root of 250 = 15.811
Therefore each side of the square measures approximately 15.811 meters.

Now let us double check this to see if we are on the right track
we multiply 15.811 meters X 15. 811 meters = 249.98 square meters
Rounded off to the nearest 100, this will be 250 square meters, which is the area of this square. So we are on the right track

Perimeter of this square will be 4 X 15.811 = 63.244 meters

Now to find out the perimeter for the second square we simply follow the same steps.

Square root of 125 =11.180. Therefore each side of this square is 11.180 meters.
Perimeter of this square will be 4 x 11.180 = 44.72 meters.

Now let us get the difference of the two figures:
63.244 - 44.72 = 18.524 meters.

Therefore the perimeter of the first square is 18.524 meters greater than that of the second square.

6 0

4 years ago

A recursive rule for an arithmetic sequence is a1 = 4; an = an-1 + 3 . What is an explicit rule for this sequence? (Picture atta

Slav-nsk [51]

Answer: 3n+1
(no need to type in the "a_n" or "an" part, as it's already done)

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Explanation:

The first term is a1 = 4 since it is given to us
The common difference is d = 3. This is the value that we add to each term to get the next as the recursive steps shows when we write a(n) = a(n-1)+3
In other words,
nth term = [ (n-1)st term ] + 3
next term = (previous term) + 3

Using a1 = 4 and d = 3, we get the following
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ivann1987 [24]

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