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3 years ago

Which table represents a linear function?

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

8 0

Answer:

1st one

Step-by-step explanation:

Since the x's for each one are going up by the same number, you are looking for a column of y's to either by going up by the same number or down by the same number.

The first table has a column of y's that look like this: 1/2 , 1 , 1 1/2, 2

This is actually going up for 1/2 each time.

This table shows a linear function.

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Roger ran eight laps around a ¼ mile track during PE on Monday.How many feet did Roger run in completing eight laps

Setler79 [48]

Answer:

10560 feet

Step-by-step explanation:

you're welcome :)

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2 years ago

Give an example of each of the following, or argue that such a request is impossible.

Masteriza [31]

Answer and Step-by-step explanation:

Solution:

(a) Let (bn) be a bounded sequence of (an) then, Bolzano- Weierstrass theorem,

(bn) contains a subsequence that is converges.

(b) The sequence :

Xn = 1 + (-1) n / 2 + 1/n

Clearly, (xn) does not contain 1 or 0.

If we take sequence (x2n), then it converges to 1 and when we take sequence (x2n+1),

Then it converges to 0.

1,1/2

1, 1/2, 1/3

1, 1/2, 1/3, 1/4

i.e

(xn) = (1,1/2, 1, 1/2, 1/3, …)

Then, the subsequence (xn) that is identically ½ in second column and 1/3 is third column and so on.

It has sub sequence that converges to every point in infinite set {1, 1/2, 1/3, 1/4, 1/5…}.

(d) The sequence

{1, 1/2, 1/3, 1/4, 1/5…}

if we take sequence of given set, then, this set converges to zero. This is not contained in it.

If (xn) converges to every point in set {1, 1/2, 1/3 …} then there exists subsequence which converges to 0. And 0 does not belong to given set.

3 0

3 years ago

How many digits are written when 1000 to the power of 2015 is expressed as a numeral?

PtichkaEL [24]

Answer: There are 6046 digits will be written on expansion upto 2015th power.

Step-by-step explanation:

Since we have given that

$1000^{2015}$

We have to find the number of digits ,

So,

$1000^{2015}\\\\=(10^3)^{2015}\\\\=10^{6045}$

Since we know that

$10^n\text{ has n+1 number of digits }$

so,

$10^{6045}\text{ has 6046 number of digits }$

Hence, there are 6046 digits will be written on expansion upto 2015th power.

6 0

3 years ago

Point A of rectangle ABCD is located at coordinates (3,7). If rectangle ABCD is translated down 7 and left 5, what are the new c

uranmaximum [27]

Answer:

The new co-ordinates are A¹ ( -2 , 0)

Step-by-step explanation:

Step(i):-

Point A of rectangle ABCD is located at coordinates (3,7).

Type of transformation change of co-ordinate point

Vertical translation up 'd' units (x, y)→ (x, y +d)

Vertical translation down 'd' units (x, y)→ (x, y -d)

Horizontal translation left 'C' units (x, y)→ (x - c , y)

Horizontal translation right 'C' units (x, y)→ (x + c , y)

Step(ii):-

Given rectangle ABCD is translated down 7 and left 5

Given Point A(3 ,7)

Vertical translation down '7' units t

The new co-ordinate A¹ ( 3 , 7-7)→ A¹( 3, 0) and Horizontal translation left ''5' units

Now the new co-ordinates are A¹ ( 3-5 , 7-7)

Final answer:-

The new co-ordinates are A¹ ( -2 , 0)

7 0

3 years ago

How many solutions will the following system of equations have? y= -4.2 + 2 y=-4x – 6

Katena32 [7]

Answer: one solution

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3 0

3 years ago

Which table represents a linear function?​

Which table represents a linear function?