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Brrunno [24]
2 years ago
10

Henry is 4 years younger than Linda. Linda is 20 years old. After correctly carrying out the Solve step of the five-step problem

-solving plan, which solution should you arrive at to find Henry’s age?
Mathematics
2 answers:
Troyanec [42]2 years ago
5 0
L = 20
H = L - 4
H = 20 - 4
H = 16
Hope this helps
Advocard [28]2 years ago
4 0

Step-by-step explanation: Ok lets go step by step then.

Hery is 4 years younger tha linda, that means that if H is henry's ange and L linda's age.

L - H = 4.

and Linda has 20 years, so:

20 - H = 4

if we subtract 20 of each side of the equation we get:

-H = 4 - 20 = -16

If we multiply by -1, so we have positive numbers in both sides.

H = 16.

so Henry is 16 years old.

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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}

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Therefore;

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Learn more about polynomials with fractions here:

brainly.com/question/12262414

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