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{:[f(t)=5t-7],[f(◻)=48]:}

f(t)=5t7f()=48 \begin{array}{l}f(t)=5 t-7 \\ f(\square)=48\end{array}

Full solution

Q. f(t)=5t7f()=48 \begin{array}{l}f(t)=5 t-7 \\ f(\square)=48\end{array}
  1. Write Function and Value: Write down the given function and the value for f(t)f(t). We are given the function f(t)=5t7f(t) = 5t - 7 and we need to find the value of tt when f(t)=48f(t) = 48.
  2. Set Up Equation: Set up the equation using the given value for f(t)f(t). We need to solve the equation 5t7=485t - 7 = 48.
  3. Add 77 to Isolate: Add 77 to both sides of the equation to isolate the term with tt.\newline5t7+7=48+75t - 7 + 7 = 48 + 7\newlineThis simplifies to 5t=555t = 55.
  4. Divide to Solve: Divide both sides of the equation by 55 to solve for tt. \newline5t5=555\frac{5t}{5} = \frac{55}{5}\newlineThis simplifies to t=11t = 11.