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Anettt [7]
3 years ago
5

How does the method for solving equations with fractional or decimal coefficients and constants compare with the method for solv

ing equations with integer coefficients and constants?
The methods are essentially ____. The only extra step is that you ____ solving by eliminating the fractions or the decimals from the equation.

In the first missing spot it should be different or the same
In the sec missing spot it should be finish or begin
Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

Answer:

Step-by-step explanation:

When solving equations with fractional or decimal coefficients, the equations needs to be multiplied by the multiple of denominator such that the equations have integer coefficients and constants

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PLEASE HELP!! solve |2x-2| ≥6.
Anastaziya [24]
<h3>Answer:</h3>

x ≤ -2    OR  x ≥ 4

__________________________________________________________

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

<u>We are given the inequality:</u>

|2x - 2| ≥ 6

Getting rid of the Modulus:

Since 2x-2 is in modulus:

|2x-2| =  -(2x-2)    OR   2x-2

<em>(since the modulus of both these values is 2x-2)</em>

Hence, our inequality can be written in 2 different ways:

  1. 2x-2 ≥ 6                              <em>(if 2x-2 ≥ 1)</em>
  2. -(2x - 2) ≥ 6                         <em>(if 2x-2 < 0)</em>

__________________________________________________________

<u>Solving these 2 inequalities:</u>

Solving inequality 1:

2x - 2 ≥ 6                

2x ≥ 8                     [<em>adding 2 on both sides]</em>

x ≥ 4                       [<em>dividing both the sides by 2]</em>

This is the solution of the inequality if: 2x-2 ≥ 0

Solving Inequality 2:

-(2x-2) ≥ 6

<em>It can be rewritten as:</em>

2 - 2x ≥ 6                

2 ≥ 6 + 2x                [<em>adding 2x on both the sides]</em>  

-4 ≥ 2x                     [<em>Subtracting 6 from both sides]</em>

x ≤ -2                       [<em>Dividing both sides by 2]</em>

This is the solution of the given inequality if: 2x-2 < 0

__________________________________________________________

<u>Solution of the given Inequality:</u>

Therefore, the solution of the given inequality |2x-2| ≥ 6 are:

x ≥ 4   <em>(if 2x-2 </em>≥ 0)

x ≤ -2  <em>(if 2x-2 < 0)</em>

Hence, option C is correct!

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Answer: the normal curve can be used as an  approximation to the binomial probability considering the following condition: when the sample is large, in this case n=112

Step-by-step explanation:

for a binomial experiment to be approximated to normal distribution, the following conditions must be present:

i.  sample size must be large, in this case sample size is 112

ii.  the mean must be equal to np,where n is sample size and p is probability  of success

iii.  the standard deviation must be equal to npq,where q is the probability of failure

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