Answer :

Answer:

To find the zero value of the function \( p(x) = \frac{2x}{3} - 5 \), we set the function equal to zero and solve for \( x \):

\[ p(x) = 0 \]

\[ \frac{2x}{3} - 5 = 0 \]

First, add 5 to both sides of the equation:

\[ \frac{2x}{3} = 5 \]

Next, multiply both sides by 3 to eliminate the fraction:

\[ 2x = 15 \]

Finally, divide both sides by 2 to solve for \( x \):

\[ x = \frac{15}{2} \]

So, the zero value of the function \( p(x) \) is \( x = \frac{15}{2} \) or \( x = 7.5 \).

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