Answer:
- x ≥ 2009
- 3.2x -6222.8
- 257.2 mm
- year 2100
Step-by-step explanation:
1. The problem statement tells you the function applies for year values (x) 2009 and later. The domain is real numbers greater than or equal to 2009.
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2. We can use the distributive property to eliminate parentheses:
3.2(x -2009) +206 = 3.2x -6428.8 +206
= 3.2x -6222.8
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3. Put 2025 in the equation and do the arithmetic
g(2025) = 3.2·2025 -6222.8 = 257.2 . . . . mm
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4. Put this value of level rise in the equation and solve for x.
g(x) = 3.2x -6222.8
500 = 3.2x -6222.8 . . put 500 mm where g(x) is in the equation
6722.8 = 3.2x . . . . . . . add 6222.8
x = 6722.8/3.2 = 2100.875
The water rise will be equal to about half a meter late in the year 2100.
The answer to the problem is 8 2/3.
Hope This Helps
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Answer:
x = 8
Step-by-step explanation:
3(x−5) = 9 (by PEDMAS, distribute 3 into parentheses by distributive property)
x(3)−5(3) = 9
3x - 15 = 9 (add 15 to both sides)
3x = 9 + 15
3x = 24 (divide both sides by 3)
x = 24/3
x = 8
