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Oksanka [162]
3 years ago
11

Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle Rob will be three times Tonya's

age. Today, Kevin is ___ years old, and Uncle Rob is ___ years old.
Mathematics
1 answer:
Nady [450]3 years ago
4 0

Step-by-step explanation:

"In three years, Tonya will be 17."

14 + 3 = 17, so Tonya is 14 atm. (At The Moment)

"Tonya is twice Kevin's age." Kevin is 7, because 7 x 2 = 14.

"In another three years, Uncle Rob will be three times Tonya's age."

Since Tonya is 14, multiply 14 x 3 and you get 42.

If you're asking for the three years, 17 x 3 = 51 < Uncle Rob's age

Kevin is about 8 1/2 years old. Since 8 x 2 = 16, I multiplied 8 1/2 x 2 and got 17.

I hope this helped.

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Step-by-step explanation:

The question is unreadable, however the real polynomial is:

The polynomial fraction is:

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And the decomposition is:

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The solution is as follows:

P = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}

Substitute the expression for P

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\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)*(3x + 7) + g(x)*(2x + 3)}{(2x + 3)(x + 7)}

Cancel out both denominators

9x + 11} = f(x)*(3x + 7) + g(x)*(2x + 3)

Represent f(x) as A and g(x) as B

9x + 11} = A*(3x + 7) + B*(2x + 3)

Open bracket

9x + 11} = 3Ax + 7A + 2Bx + 3B

9x + 11} = 3Ax + 2Bx+ 7A  + 3B

9x + 11} = (3A + 2B)x+ 7A  + 3B

By comparison:

3A + 2B = 9 ---- (1)

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Make B the subject in (1)

B = \frac{9 - 3A}{2}

Substitute B = \frac{9 - 3A}{2} in (2)

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Multiply through by 2

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Collect Like Terms

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B = \frac{9 + 3}{2}

B = \frac{12}{2}

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