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Lemur [1.5K]
2 years ago
6

Solve: x/15 - 12 = 8

Mathematics
2 answers:
erica [24]2 years ago
7 0

Answer:  x = 300

Step-by-step explanation:

GREYUIT [131]2 years ago
4 0
X/15 - 12 = 8

Add 12 to both sides of the equation.

x/15 - 12 + 12 = 8 + 12

Simplify the equation

x/15 = 20

Now we are gonna multiply both sides by 15.

15x/15 = 20 * 15

Simplify the equation

x = 300

Therefore x is equal to 300
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Use the information to answer the following questions.
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If a manager at a large company wants to understand whether the employees are feeling. The best way to collect data is: B. survey.

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1 year ago
A pair of standard dice is rolled. Find the probability that the sum of the two dice is greater than 1.
sleet_krkn [62]

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1/1 chance

Step-by-step explanation:

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cestrela7 [59]

Answer:

  (i)  (x +4)^3 = x^3 +12x^2 +48x +64

  (ii)  (2m +1)^3 = 8m^3 +12m^2 +6m +1

  (iii)  (a -2b)^3 = a^3 -6a^2b +12ab^2 -8b^3

Step-by-step explanation:

Powers of a binomial have a pattern. The coefficients of the terms of the expanded product are the numbers in the corresponding row of Pascal's Triangle. Here, you want the 3rd power, so the coefficients of interest are ...

  1, 3, 3, 1

The pattern is ...

  (a +b)^2 = a^2 +2ab +b^2

  (a +b)^3 = a^3 +3a^2b +3ab^2 +b^3

The total of powers of the variable is equal to the exponent of the binomial. The powers of the first variable decrease to 0 while the powers of the second variable increase from zero.

When 'a' or 'b' is something with a coefficient, that whole term is raised to the appropriate power.

__

i) (x+4)^3 = x^3 +3·4x^2 +3·4^2x +4^3

  (x +4)^3 = x^3 +12x^2 +48x +64

__

ii) (2m +1)^3 = (2m)^3 +3·1·(2m)^2 +3·1^2·(2m) +1^3

  (2m +1)^3 = 8m^3 +12m^2 +6m +1

__

iii) (a -2b)^3 = a^3 +3·a^2·(-2b) +3·a·(-2b)^2 +(-2b)^3

  (a -2b)^3 = a^3 -6a^2b +12ab^2 -8b^3

_____

<em>Additional comment on Pascal's triangle</em>

The numbers in each row are the sums of the two numbers immediately above. For binomial expansion, you're only interested in the contents of a row. The "patterns" shown in the attachment are an extra added attraction, not particularly relevant to binomial expansion.

7 0
3 years ago
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