What is the root of the polynomial equation x(x-2)(x+3) = 18? Use a graphing calculator and a system of equations.
1 answer:
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:
x(x -2)(x +3) -18 = 0
The attached shows x = 3 is the only real solution.
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We're not sure what "system of equations" is intended. Perhaps it is ...
y = 18
y = x(x -2)(x +3)
To create the expression we graphed, we effectively subtracted the first equation from the second.
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Given:
Claire is 2 year younger than her sister.
The sum of ages is no less than 44 years.
To find:
Inequality and find the youngest age Claire can be.
Solution:
Let the age of Claire be x.
Her sister's age = x+2
Sum of their ages is no less than 44 years. It means the sum ages is greater than or equal to 44.
Divide both sides by 2.
It means, Claire age can be greater than or equal to 21. So, the youngest age Claire can be 21 years old.
Therefore, the required inequality is and the correct option is B.