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mixer [17]
3 years ago
14

I am thinking of a number. If you multiply my number by four, add -4 to the product, and then take 1/3 of the sum, the result is

-6. Find my number.
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

x = - \frac{7}{2}

Step-by-step explanation:

x=unknown number

\frac{4x + ( - 4)}{3}  =  - 6

4x - 4 =  - 18

4x =  - 14

x =  \frac{ - 14}{4}

simplify the fraction so... -7/2

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What is the sum of 7.8 and 7.02
Neporo4naja [7]
The sum of 
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hope this helps :)  



4 0
3 years ago
Read 2 more answers
Find x: 3/(x-4)(x-7) + 6/(x-7)(x-13) + 15/(x-13)(x-28) - 1/x-28 = -1/20
Novay_Z [31]

The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24

<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>

The given equation is presented as follows;

\frac{3}{(x - 4) \cdot (x - 7) }  + \frac{6}{(x - 7) \cdot (x - 13)   }  + +\frac{15}{(x - 13) \cdot (x - 28) } - \frac{1}{(x - 28)  } =  -  \frac{1}{20}

Factoring the common denominator, we have;

\frac{3\cdot(x - 13) \cdot(x - 28) + 6 \cdot(x - 4) \cdot(x - 28)  + 15 \cdot(x - 4) \cdot(x - 7)  - (x - 4) \cdot (x - 7)\cdot(x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Simplifying the numerator of the right hand side using a graphing calculator, we get;

By expanding and collecting, the terms of the numerator gives;

-(x³ - 48•x + 651•x - 2548)

Given that the terms of the numerator have several factors in common, we get;

-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)

Which gives;

\frac{-(x - 7) \cdot(x - 28)\cdot (x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Which gives;

\frac{-1}{(x - 4)}   + =  -  \frac{1}{20}

x - 4 = 20

Therefore;

  • x = 20 + 4 = 24

Learn more about polynomials with fractions here:

brainly.com/question/12262414

#SPJ1

5 0
2 years ago
The linear equation y=-2x+3 has a positive slope of 2, true or false ?
Anna007 [38]

Answer:

False

Step-by-step explanation:

the slope is -2/1 AKA -2 so it is negative

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3 years ago
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A swimming pool has a diameter of 32 feet.
Setler79 [48]
Area = 256*3.14=804feet^2
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