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77julia77 [94]
3 years ago
5

Adele is 5 years older than Timothy. In three years, Timothy will be of Adele’s age. What is Adele’s current age?

Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0
Answer = 12

Explanation:
Let x be Timothy’s present age.
The, Adele’s present age = x+5

After 3 years, Timothy’s age = x+3
Adele’s age = x+5+3 = x+8

According to the question, we have

x + 3 = 2/3 (x+8)

3(x + 3) = 2x + 16

3x + 9 = 2x + 16

3x - 2x = 19 - 9

x = 7

Therefore, Timothy’s current age is 7 years and Adele’s current age is 12 years
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Answer:

f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

f\left(x\right)=x^3-6x^2+3x+10

As the highest power of the x-variable is 3 with the leading coefficients of 1.

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solving to get the zeros

f\left(x\right)=x^3-6x^2+3x+10

0=x^3-6x^2+3x+10              ∵  f(x)=0

as

Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0

so

\left(x+1\right)\left(x-2\right)\left(x-5\right)=0    

Using the zero factor principle

if  ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

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x=-1,\:x=2,\:x=5

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