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iren2701 [21]
3 years ago
5

16. write an inequality for each graph

Mathematics
1 answer:
Harrizon [31]3 years ago
7 0

Answer:

Question 16

(a) x < 1 : the values of x are smaller than than 1 (e.g. possible values are 0, -1, -2, etc) and since the circle is not shaded it means that 1 isn't a possible value of x

(b) x \geq -2 : the circle is filled therefore -2 is included in the answer

Question 17

(a) unfilled dot above -2 and arrow pointing to the left

(b) shaded circle above 4 with and arrow pointing to the right →

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Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books
AlladinOne [14]

<u>Answers</u>

19 fiction books

7 nonfiction books


<u>Explanation</u>

x + y = 26  ............................................. (i)

x – y = 12  ............................................ (ii)

Elliot added the two equations and the result was

2x = 38.

Dividing both sides by 2;

x = 19

There are 19 fiction books.

Substituting x in equation (i),

x + y = 26             when x = 19

19 + y = 26

y = 26 - 19

   = 7

There are 7 nonfiction books

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Ten more than 6 times a number is 4 less than 4 times the number
Marta_Voda [28]
10 + 6n = 4 - 4n

I'm just guessing but I'm pretty sure that's it.
4 0
3 years ago
Plz i need help and plz explain
Montano1993 [528]

\frac{ {x}^{2}  - 7x + 12}{ {x}^{2} - x - 12 }  \\  =  \frac{ {x}^{2} - 4x - 3x + 12 }{ {x}^{2} - 4x + 3x - 12 }  \\  =  \frac{x(x - 4) - 3(x - 4)}{x(x - 4) + 3(x - 4)}  \\  =  \frac{(x - 3)(x - 4)}{(x + 3)(x - 4)}  \\  =  \frac{x - 3}{x + 3}

x² - x - 12 ≠ 0

x² - 4x + 3x - 12 ≠ 0

x (x - 4) + 3 (x - 4) ≠ 0

(x + 3)(x - 4) ≠ 0

x ≠ -3 or x ≠ 4

(B)

3 0
3 years ago
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