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natima [27]
2 years ago
10

PLEASE HELP! I will mark brainliest!

Mathematics
1 answer:
Nitella [24]2 years ago
5 0

Answer:

D

Step-by-step explanation:

Instead of going through each of the table, let's create one ourselves.

So, we have the piecewise function:

f(x)=-x+8,\text{ if } x

So, let's create a table of values starting with 2 and skipping the odd numbers until 12.

2:

For 2, since 2 is less than one, plug it into the first equation. Thus:

f(2)=-(2)+8=6

So, the first value is (2,6).

For 4, since 4 is <em>not</em> less than 4 but rather equal to 4, use the second equation. Thus:

f(4)=(4)=4

The second value is (4,4).

For 6, the same thing. 6 is greater than 4 so use the second equation:

f(6)=(6)=6

So the third value is (6,6).

And this pattern will repeat. Therefore, our table of equations is:

x   |      y

2  |      6

4  |      4

6  |      6

8  |     8

10 |    10

12  |    12

The choice that represents this is D. D is the correct answer.

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Answer: The winning ticket is 2(x-6)=-35 is equivalent to 2x=-23.



Step-by-step explanation:

Let's check all the options

4(x-5)=35 is not equivalent to 4x=40

\text{since }4(x-5)=35\\\Rightarrow4x-20=35\\\Rightarrow4x=35+20\\\Rightarrow4x=55

8(x-7)=35 is not equivalent to 8x=28


\text{since }8(x-7)=35\\\Rightarrow8x-56=35\\\Rightarrow8x=35+56\\\Rightarrow8x=91

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\text{since }2(x-6)=-35\\\Rightarrow2x-12=-35\\\Rightarrow2x=-35+12\\\Rightarrow2x=-23

9(x-6)=-35 is not equivalent to 9x=-29

\text{since }9(x-5)=-35\\\Rightarrow9x--40=-35\\\Rightarrow9x=-35+40\\\Rightarrow9x=5

Thus, the winning ticket is 2(x-6)=-35 is equivalent to 2x=-23.

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