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Lyrx [107]
3 years ago
9

Which of these tables represents a linear function?

Mathematics
2 answers:
Nina [5.8K]3 years ago
7 0
The 3rd represents a linear function
son4ous [18]3 years ago
3 0
The 3rd one is linear.
You might be interested in
Can someone please explain to me how to do this?
OLga [1]

Answer:

  1. (-10x -5) -(-7x -4)

  2. (-10x -5) -(-3x -1)

Step-by-step explanation:

The process of simplifying an expression generally involves eliminating parentheses, collecting terms, simplifying fractions, rationalizing denominators, removing appropriate factors from under radicals, and generally putting expressions into general form.

So, to accomplish what the problem is asking, you can create an expression that requires you accomplish as many or as few of these steps as you may like.

In general, you will want to both "do" and "undo" whatever operation(s) you may choose. For example, consider a couple of expressions "a" and "b". For this example, we want our final result to simplify to "a".

If we choose to add "b", we might have ...

  (a+b) -b . . . . . we have both added and subtracted b, so the simplified result is "a"

If we choose to multiply by "b", we might have ...

  (ab)/b . . . . . . we have both multiplied by b and divided by b, so the simplified result is again "a"

_____

We can solve both these problems at once by using ...

  • a = -3x -1
  • b = -7x -4

If we choose the first approach, we want an expression that is (a+b). That will be ...

  a+b = (-3x -1) +(-7x -4) = -10x -5

By subtracting "b" from this expression, we get "a"--and vice versa. That is ...

  1. (-10x -5) -(-7x -4) . . . simplifies to . . . -3x -1
  2. (-10x -5) -(-3x -1) . . . simplifies to . . . -7x -4

_____

<em>Alternate solution to 2</em>

Suppose we choose to multiply instead. Let "b" be -3x+2. Then, using the template for multiplication above, we can write the expression

  (-7x -4)(-3x +2)/(-3x +2) = (21x^2 -2x -8)/(-3x +2)

and we know this rational expression simplifies to -7x -4.

_____

Of course, we can be as elaborate as we might like in modifying the original expression. Whatever we do, we must also include the "undo" so the original expression is recovered when we simplify. To illustrate the point, we can add and subtract 2x from the above rational expression.

  ((21x^2 -2x -8)/(-3x +2) + 2x) - 2x = (21x^2 -2x -8 +2x(-3x +2))/(-3x +2) - 2x

  = (21x^2 -2x -8 -6x^2 +4x)/(-3x +2) -2x

  = (15x^2 +2x -8)/(-3x +2) -2x . . . . . . another alternate solution to #2.

If we're not careful, we can create an expression that is extremely difficult to simplify. The one we have here can be factored to be ...

  (-5x -4)(-3x +2)/(-3x +2) -2x = -5x -4 -2x = -7x -4 . . . our original #2 expression

Knowing that it <em>can</em> be factored is a big help.

6 0
3 years ago
What is the area of the parallelogram QRST?
jonny [76]

\text{Area of parallelogram QRST} =  QR \times TU = 20 ~in \times 18~in =360 in^2

8 0
2 years ago
Help ASAP please hmmmm​
Fiesta28 [93]

Answer:

20d + 30d

Step-by-step explanation:

20 and 30 minutes per day

5 0
3 years ago
Read 2 more answers
Find the value of x.
vazorg [7]

Step-by-step explanation:

Espero que te ajude de mucho

4 0
3 years ago
Find the area of the circle when C = 4π. Give your answer in terms of π.
slamgirl [31]

Answer:

12.56

Step-by-step explanation:

So, the circumference will be 4(3.14), which is 12.56. So, now you can solve for area. <em>By the way, the formula is: C = pi(d) (Just saying)</em>

Anyways, A = pi(r)2. So, with the radius being half of the diameter, you will cut 4 in half. You are now ready to solve.

A = 3.14 (2) (2), which is 12.56 .

Hope this helps! :)

7 0
3 years ago
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