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3 years ago

12

I need a little bit of more help understanding how to do this

1 answer:

taurus [48]3 years ago

3 0

Add 3 to both sides, then add 2m
Then divide 4 on both sides.

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If a(n)=24 which recursive formula could represent the sequence below? <br> ...,24,88,664,8408,...

sesenic [268]

24= 3*2^3
88= 11*2^3
664= 83*2^3 -> 83=11+72 = 11 + 2^3*3^2
664=2^3 (11+2^3*3^2) = 88 +(2^3*2^3*3^2) = 88 +(24^2)

8408= 1051 * 2^3 -> 1051= 83+968 -> 968 = 2^3 * 11^2
8408= 2^3 (83+2^3*11^2) = 664 +(2^3*2^3*11^2) = 664 +(88^2)

So:
a(n) = a(n-1) + a(n-2)^2

Lets check: 88+24^2= 664
664+88^2= 8408

3 1

3 years ago

Amy makes a rectangular poster with an area of 21+28m square inches. The width of the poster is 7 inches as shown in the followi

Lesechka [4]

You could use simple factoring to solve this. You would factor out a 7 and then have

7(3+4m) = A

l x w = A

w= 3 +4m

8 0

3 years ago

Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create

anastassius [24]

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

<em>The sequence of the first five mosaics is 5, 8, 11, 14, 17</em>
<em>The sequence is arithmetic</em>
<em>There are 32 tiles in the tenth mosaic.</em>

From the given design, the number of tiles used is:

$T_1 = 5$

$T_2 = 8$

$T_3 = 11$

<u />

<u>(a) The first five</u>

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

<u>(b) The type of sequence</u>

The sequence is arithmetic

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

This difference is called the common difference

<u>(c) The number of tiles in the tenth mosaic</u>

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

5 0

3 years ago

PLEASE HELP ME !!!!!!

Ad libitum [116K]

Step-by-step explanation:

In this question as two straight lines intersect each other

we use vertically opposite angle axiom

so 74 degree = 2x.

then x= 74/2= 37degree

6 0

2 years ago

Read 2 more answers

Ten times a number, x, is one-half the sum of the number and three.

kirill [66]

Answer:

10x=1/2(x+3)

Step-by-step explanation:

Hope it helps :)

Brainliest pls? Have a good day/night

4 0

3 years ago