Bài 1: Giài Các Phuòng Trinh Sau: 1 7x-4=3x+12 - Gauthmath

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Question

y is directly proportional to the square of (x - 1). y=63 when x=4. Find the value of y when x=6.SHOW LESS0

Solution

user avatar imageAnswer\(175\)ExplanationStep 1: Recognize that \(y\) is directly proportional to the square of \((x-1)\), which can be expressed as \(y = k(x-1)^2\), where \(k\) is the constant of proportionality. Step 2: Use the given condition that \(y=63\) when \(x=4\) to find the value of \(k\). Substitute \(x=4\) and \(y=63\) into the equation to get \(63 = k(4-1)^2\). Step 3: Calculate the value of \(k\) by solving the equation: \(63 = k \cdot 9\), which simplifies to \(k = 7\). Step 4: Now that we have the value of \(k\), we can write the equation as \(y = 7(x-1)^2\). Step 5: To find \(y\) when \(x=6\), substitute \(x=6\) into the equation: \(y = 7(6-1)^2\). Step 6: Calculate \(y\): \(y = 7 \cdot 25\), which gives \(y = 175\). Therefore, the value of \(y\) when \(x=6\) is \(175\).Click to rate:37.1(62 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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