Answer:
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Step-by-step explanation:
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Substitute the value of x into the function;
f(0.25)=1/3(-5(0.25))
f(0.25)=1/3(-5(1/4))
f(1/4)=1/3(-5/4)
f(1/4)=-5/12
Therefore, the function would be at -5/12 when x=1/4
Hope I helped :)
Required inequality is 1.5x + 3 < 18 and solution is x < 10, that is number of months svetlana can allow her hair to grow must be less than 10 so that her hair length will be less that 18 cm
<u>Solution:</u>
Given that
Svetlana's hair is 3 cm long.
Her hair grows 1.5 cm per month
Need to write an inequality to determine the number of months Svetlana can allow her hair to grow.
Let assume number of months Svetlana can allow her hair to grow be represented by variable "x"
Length of hair grows in one month = 1.5 cm
So Length of hair grows in "x" months = 
As Svetlana wanted her hair to be less than 18 cm long
So Length of hair grows in "x" months plus current length of hair must be less than 18 cm
=> 1.5x + 3 < 18
On solving the above inequality for "x" we get ,
1.5x < 18 – 3
=> 1.5x < 15
=> 
=> x < 10
Thus required inequality is 1.5x + 3 < 18
Number of months sultana can allow her hair to grow must be less than 10 so that her hair length will be less that 18 cm.
<u>Answer-</u>
The average U.S. public debt per American is approximately $29,400
<u>Solution-</u>
Given in the question,
U.S public debt as of October 2010 = $9.06×10¹²
Population of U.S in 2010 = 3.08×10⁸
We have to calculate the average U.S. public debt per American,

Therefore, the average U.S. public debt per American is $29,400 (after rounding off)