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Ivahew [28]
3 years ago
5

Five time a number plus nine is less than or equal to six times the number plus 5?

Mathematics
1 answer:
torisob [31]3 years ago
5 0

Answer:

1.  Let x = #

2.  "Five less than six times a number" can be written as:  6x - 5

3.  "is at least" is the same as "greater than or equal to" and can be written as:  >=

4.  "nine subtracted from two times that number"  can be written as:  2x - 9

5.  the equation is: 6x - 5 >= 2x - 9

6.  solve for x by grouping the x variable terms on one side and the constants on the other side:

             6x - 5 >= 2x - 9

            -2x +5     -2X +5

             4x      >=      -4    

7.  divide each side by 4, and you get: x = -1

Step-by-step explanation:

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D.

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Two events A and B are independent when

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P(A)=\dfrac{150}{275}=\dfrac{6}{11}\approx 0.55\\ \\P(B)=\dfrac{176}{275}=\dfrac{16}{25}=0.64\\ \\P(A|B)=\dfrac{96}{176}=\dfrac{6}{11}\approx 0.55

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Quadratic Equations<br> How do I solve a quadratic equation?
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There are different ways to solve a quadratic equation, the main ones that i'm thinking about right now are:
1) factor the equation as a product:
 ex:        x^2+ 4x + 3 =0
             (x+3) (x+1) = 0
              x=-3 and x=-1 are the solutions.
To find (x+p) and (x+q) you have to think that (p+q )have to be equal to the number that is multiplied by x, in my example it was 4 (3+1=4), (p times q) have to be equal to the last number of the quadratic equation, the one that is not multiplied by any x, that in my example is 3 (3 x 1= 3)

2) The other way to solve a quadratic function is by using a formula:
    given: ax^2 +bx +c=0
    x= (-b +/- <span>√(b^2 -</span> 4ac)) / 2a
    
 ex: 3x^2 + 4x -2=0
    x= (-4 +/- √16-4(3)(-2)) / 6= (-4 +/- √16+24)/6= (-4 +/- <span>√40) / 6
now there are 2 possibilities: x= (-4+</span><span>√40) /6
                                                        and
                                              x= (-4 - </span><span>√40) / 6
I hope the examples were clear enough also if i did't get very nice numbers. Look closely to the sings + and -, they are very important</span>
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Where is the function increasing? Please help, due soon
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(Negative Infiniti, -1)
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