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3 years ago

Help! is due today please

Mathematics

1 answer:

MakcuM [25]3 years ago

7 0

Answer:

Option 2

Step-by-step explanation:

Minimum value is going to be in the y part of our coordinate, so we can just look there. I went ahead and used a graphing calculator to make things easy.

Starting off with option 2, we can see the minimum is -10. And in option 4 we can see the smallest y value is -6.

Using a graphing calculator (I used desmos), we can graph these other functions and figure out their minimums.

Option 1's y minimum is -7, and Option 3's y minimum is -2.25.

Option 1: -7

Option 2: -10

Option 3: -2.25

Option 4: -6

The questions asks for the smallest minimum value, which in this case is option 2.

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Pattern is the rule that guides the formation of a set.

The sequence of the first five mosaics is 5, 8, 11, 14, 17
The sequence is arithmetic
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From the given design, the number of tiles used is:

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(a) The first five

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

$T_4 = T_3 + 3 = 11 +3 = 14$

$T_5 = T_4 + 3 = 14 +3 = 17$

So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

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This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

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The nth term of an arithmetic sequence is:

$T_n = T_1 + (n - 1) \times d$

In this case:

$T_1 = 5$

$d =3$

$n = 10$

So, we have:

$T_{10} = 5 + (10 - 1) \times 3$

$T_{10} = 5 + 9 \times 3$

$T_{10} = 5 + 27$

$T_{10} = 32$

There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

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