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erik [133]
3 years ago
10

Larry used a pattern of colors to make a cube train. He used a red cube, a blue cube, a red cube, and another red cube before he

started the pattern again. How many red cube did Larry use?
Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0
I think 18 red cubes.
Explanation: A cube has 6 sides, so you would use the pattern 6 times. There are 3 red cubes in each pattern, you use the pattern 6 times, meaning 3 × 6, so the cube train has 18 red cubes. I hope this helps!
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5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.
Mrrafil [7]
10x(3x^2)
15x^2(2x)
5x(6x^2)
7 0
3 years ago
Find a recursive formula for the sequence:<br><br> 1, -1, -7, -25
Mumz [18]
<h3>Answer:</h3>

a_n=3a_{n-1}-4

<h3>Step-by-step explanation:</h3>

<em>Try the answers</em>

You can try the answers to see what works. You can expect all of the choices to match the first two terms, so try some farther down. Let's see if we can get -25 from -7.

a) 3*(-7) -4 = -21 -4 = -25 . . . . this one works

b) -7 -2 = -9 . . . . ≠ -25

c) -3(-7) +2 = 21 +2 = 23 . . . . ≠ -25

d) -2(-7) +1 = 14 +1 = 15 . . . . ≠ -25

The formula that works is the first one.

_____

<em>Derive it</em>

All these formulas depend on the previous term only, so we can write equations that show the required relationships. Let the unknown coefficients in our recursion formula be p and q, as in ...

a_n=p\cdot a_{n-1}+q

Then, to get the second term from the first, we have

... 1·p +q = -1

And to get the third term from the second, we have

... -1·p +q = -7

Subtracting the second equation from the first gives ...

... 2p = 6

... p = 3 . . . . . . . this is sufficient to identify the first answer as correct

We can find q from the first equation.

... q = -1 -p = -1 -3 = -4

So, our recursion relation is ...

a_n=3a_{n-1}-4

6 0
3 years ago
I'm confused on how to create ratios
Rzqust [24]

Answer:

Latoya:

cran : lem = 2 1/5 : 1 4/5

= 11/5 : 9/5

= 11 : 9

Lem : total = 9 : 20

Parker:

cran : lem = 2 1/2 : 3 1/2

= 5/2 : 7/2

= 5 : 7

Lem : total = 7 : 12

Step-by-step explanation:

8 0
2 years ago
Jacob can take any one of three routes from school to the mall, and one of five possible routes from the mall to his
Minchanka [31]

Answer:

8

Step-by-step explanation:

6 0
2 years ago
Mr. Stewart wants to cut a board that is 34 inches long into four pieces that are the same length. How long will each board be a
Artist 52 [7]

Answer:

8.5

Step-by-step explanation:

divide 34 by 4 and it gives you 8.5

6 0
2 years ago
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