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7.5 Initial Assessment - Maths ACSF Type your answer into the box. What is the value of y in the formula shown when x=(4)/(5) ? y=◻quad y=(4)/(x)+sqrt(x+0.2)-5x (Select the spanner to use a calculator.)

77.55 Initial Assessment - Maths ACSF\newlineType your answer into the box.\newlineWhat is the value of y y in the formula shown when x=45 x=\frac{4}{5} ?\newliney=□y=4x+x+0.2−5x y=\square \quad y=\frac{4}{x}+\sqrt{x+0.2}-5 x \newline(Select the spanner to use a calculator.)

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Q. 77.55 Initial Assessment - Maths ACSF\newlineType your answer into the box.\newlineWhat is the value of y y in the formula shown when x=45 x=\frac{4}{5} ?\newliney=□y=4x+x+0.2−5x y=\square \quad y=\frac{4}{x}+\sqrt{x+0.2}-5 x \newline(Select the spanner to use a calculator.)
  1. Plug x=45x=\frac{4}{5}: Plug x=45x=\frac{4}{5} into the formula y=4x+x+0.2−5xy=\frac{4}{x}+\sqrt{x+0.2}-5x.\newliney=4(45)+45+0.2−5×45y = \frac{4}{\left(\frac{4}{5}\right)} + \sqrt{\frac{4}{5} + 0.2} - 5 \times \frac{4}{5}
  2. Simplify first term: Simplify the first term 4(45)\frac{4}{\left(\frac{4}{5}\right)} by multiplying the numerator by the reciprocal of the denominator.\newliney=5+(45)+0.2−5×45y = 5 + \sqrt{\left(\frac{4}{5}\right) + 0.2} - 5 \times \frac{4}{5}
  3. Convert 00.22 to fraction: Convert 0.20.2 to a fraction to combine with (4)/(5)(4)/(5). \newline0.2=(1)/(5)0.2 = (1)/(5) \newliney=5+(4)/(5)+(1)/(5)−5×(4)/(5)y = 5 + \sqrt{(4)/(5) + (1)/(5)} - 5 \times (4)/(5)
  4. Add fractions in square root: Add the fractions inside the square root.\newliney=5+(55)−5×45y = 5 + \sqrt{\left(\frac{5}{5}\right)} - 5 \times \frac{4}{5}
  5. Simplify square root: Simplify the square root of 55\frac{5}{5} which is 11.\newliney = 5+1−5×455 + 1 - 5 \times \frac{4}{5}
  6. Simplify last term: Simplify the last term 5×455 \times \frac{4}{5}.\newliney=5+1−4y = 5 + 1 - 4
  7. Perform subtraction: Perform the subtraction. y=6−4y = 6 - 4
  8. Final calculation: Final calculation to find yy.y=2y = 2

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