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Fed [463]
3 years ago
13

For each table, determine whether it shows that x and y are proportional.

Mathematics
1 answer:
myrzilka [38]3 years ago
8 0

9514 1404 393

Answer:

  1. proportional, 6

  2. not proportional

Step-by-step explanation:

<u>Table 1</u>

Each y-value is 6 times the corresponding x-value, so the variables are proportional, and y = 6 times x.

<u>Table 2</u>

The ratios of y to x are 2, 4, 8, so are not the same. The values are not proportional.

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Step-by-step explanation:

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3 years ago
How does the Binomial Theorem’s use Pascal’s triangle to expand binomials raised to positive integer powers?
MrMuchimi

Answer:

There are  ways for quickly multiply out a binomial that's being raised by an exponent. Like

(a + b)0 = 1

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(a + b)2 = a2 + 2ab + b2

(a + b)3 = (a + b)(a + b)2 = (a + b)(a2 + 2ab + b2) = a3 + 3a2b + 3ab2 + b3

and so on and so on

but there was this mathematician named Blaise Pascal and he found a numerical pattern, called Pascal's Triangle, for quickly expanding a binomial like the ones from earlier. It looks like this

1                           1      

2                   1     2     1

3                1     3     3   1

4           1     4     6     4     1

5       1     5     10     10     5     1

Pascal's Triangle gives us the coefficients for an expanded binomial of the form (a + b)n, where n is the row of the triangle.

Hope this helps!

5 0
3 years ago
A frog is climbing out of a well that is 12-feet deep. The frog can climb 3 feet per hour but then it rests for an hour, during
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Step-by-step explanation:

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3 years ago
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ozzi

Answer:

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Step-by-step explanation:

5x - 24 > 26

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x > 50 ÷ 5

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x > 10

6 0
3 years ago
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