Maths-
General
Easy
Question
Rewrite the equation
to isolate x.
Hint:
Rearrange the equation and then solve for x.
The correct answer is: ⇒x=6y^2+48
Complete step by step solution:
Here we have the equation ![y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGIAAAAtCAYAAABVq763AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAc1CXO0QAAA65JREFUeNrtW39kVVEcP2aeyWRUWvpjmSSZRKVNZs3eH5mZiWyzUnlJMtkfyf5JkSmVRcUkyUxFZSNZMUmSjFnZMhmrP1L9UUzrqeeV1vfrfVbXde/bfa+de+7ZOR8+3Hvf9e73nc8931/nPCGih2LirIGMHCqI74SFcjQRH9phUI8OYo8dBvW4TDxmh0E9nhB3RtzGhiwBdgnxEjFJTBEfEVfrKAQH6vURto+zuoksQlwndhELiTHiWeKwbiIUEX/iR0QVV4mJLEKkXOcFxLRuQlQSxwPem8Db5sZpfCYD24mPcewnRBKzxinEe92EaCHezeH+UeJKx/kB4hVJtrGbGSOWzSMEx4ejjvMq4gXdhOgkns/hfg7q3TiOO95WGeDZ1+449xNiI1wR8ynxE7FaNyF6XD82CIaINcRXxGXz3Jtvq4EH97nHd7nBs+UmcRVmEGMzcQrfoQ2eEXfkUQCmJf9QznrWBhCi38eOWqTl2mCaWJpj8LwH99Qq0a6gsyiV5TtSuohQQvyWw/3lxPsooDhLGQngmhZaHDcmPGYOYwNihRbYlEPquoI46Bp4rnb7FAuxC2LUIm0twDHHiMO6CLE/4EDG4Iu92ga3Q2yP+AX23Uir03BHnDk16RQfTqEYs1CMPswKo8GNqmaf1LArJBte5JG6LjrsI55zXeNsZNInE5GxBvsDmZPRqCfecV07STwR0vNLdUrvZILf+teu9JBTrqKQnl8J1/S/7YlFsWvju+O4G/FhoXs2fjhIvGbnw78+Tzk4hWJEBio8rl0Udp36L3qJjSLTPdwr6RlxzBZ3MTagW9EjEx1IY8ckijANIY64PnuJFocF3shZzAoZ4EUf7ge9Jd5yXC+EQCVWggwaA2QuCwF2QxOO8zUiGlsstyKFnxGZHhF3dmtUGMLdzKoQnnOc+NVxztW06kWTQxj4dThfSmxDAhMqOJN5ENKzyuAC57bMcHtY5RZLXisYMdUN/iLW4Zi3WLYrtIX3KbWaKsRH1A4M3j7TotCWNyKz2G9s8Tjnf8d9irywkEJs6Ed3IQ1X1WaCEGeIX3CseoslxyteUauHHdxR4E0Jkx71zqJDHeIEp66fFdsyI7yXXbnA/GDCrPiNan5IsR2Dwr+vljZBCK4leGH9hmI72P14rU7yXwOGTRBiFP65U7EdMbwQCUes2iYyPbe4CUL0QoiGCNjCC2G8HpJE7GJhqoUhaIYQW4SFUiyHEMV2KNRjwA5BNLDHDkE0YN0S8Ac1OkY9riYhwQAAAK50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+eTwvbWk+PG1vPj08L21vPjxtc3FydD48bWZyYWM+PG1yb3c+PG1pPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjQ4PC9tbj48L21yb3c+PG1uPjY8L21uPjwvbWZyYWM+PC9tc3FydD48L21hdGg+2BYSSgAAAABJRU5ErkJggg==)
Now, on squaring both the sides, we get ![y squared equals open parentheses square root of fraction numerator x minus 48 over denominator 6 end fraction end root close parentheses squared](data:image/png;base64,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)
Related Questions to study
Maths-
Find the product of the rational expression
![fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction](data:image/png;base64,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)
Find the product of the rational expression
![fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Explain how you can tell whether a rational expression is in simplest form?
Explain how you can tell whether a rational expression is in simplest form?
Maths-General
Maths-
Determine whether is sometimes
, always or never true . Justify your reasoning.
Determine whether is sometimes
, always or never true . Justify your reasoning.
Maths-General
Maths-
Identify the slope and y-intercept of the line: ![y equals negative 5 x minus 3 over 4](data:image/png;base64,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)
Identify the slope and y-intercept of the line: ![y equals negative 5 x minus 3 over 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGMAAAAjCAYAAACAY7T5AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAiNJREFUeNrtmsFHRFEUxp+RkbTJGC1axGjRIiPSIiOJJBljDCMtkrRtMdqnRSItRos2LVokiaRFxogkSRJJkiTSf9CixRiJ6TvmxHN7M82r3tz7xvnx8bq9Ga/z3XvPuedlWYJXDEN5qAAVoSdoDQpJaOrPKZSCgraxXuhIQmMObxICM4hAjxIGvbRDM5w3xiUceigpykhI9NMGJaEraEjCYQatbIhgCEUJgRlEOYkLdeYMSkNNUIBP5C/QdCNXKHaZxCCU422pyCfyeCOWi4KYUR82oQmHcTqkLPvYjFloxWF8iX9nJJRUVpWxFs78IZf7ttf7t9vvvuF2xBfUllg3eWVQv2RPGVuEFgzdpt6tcveT3hfM82GqEmNQlq9HoBPTtyma/fe2n8PQM9SsqSqqZXVRydjHE4Y6od1V7j3mNsSt9fPLnb88V+mX+kbBdp21qje1dG5TToxyXV+JDK+mqF+S+LlV7rdHeFUEGqTNEIP2eYJN+uWP2YIS0A405TMjengCqdDEOuRihPLKteWTd9AZLnHvDH/OA2iAV26AEzQZkVLuC3OCtwefTsDbfjAjyXt9wvDnTHPJ/QG9chXYr9wTZNM6HD6/ywYaDZlwKQd8z4i7KWzyvPyF/4fy1UOtZlACzEnMPGOD2y/S5NRMzHbqFzM0EuTqtFPM0A91jOeUzoWgAWq9XChjYoYm6F9yusQMMzCpkSpUMEgQMwRXZnwCwr+iy87H5xoAAACsdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnk8L21pPjxtbz49PC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj41PC9tbj48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bWZyYWM+PG1uPjM8L21uPjxtbj40PC9tbj48L21mcmFjPjwvbWF0aD7qTfY8AAAAAElFTkSuQmCC)
Maths-General
Maths-
Find the extraneous solution of ![square root of 8 x plus 9 end root equals x](data:image/png;base64,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)
Find the extraneous solution of ![square root of 8 x plus 9 end root equals x](data:image/png;base64,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)
Maths-General
Maths-
Explain the similarities between rational numbers and rational expressions ?
Explain the similarities between rational numbers and rational expressions ?
Maths-General
Maths-
Simplify the following expression.
![open parentheses fraction numerator 2 x minus 1 over denominator x plus 3 end fraction minus fraction numerator x squared minus 4 over denominator 2 x plus 1 end fraction close parentheses space cross times space fraction numerator 2 x squared plus 7 x plus 3 over denominator x plus 2 end fraction](data:image/png;base64,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)
Simplify the following expression.
![open parentheses fraction numerator 2 x minus 1 over denominator x plus 3 end fraction minus fraction numerator x squared minus 4 over denominator 2 x plus 1 end fraction close parentheses space cross times space fraction numerator 2 x squared plus 7 x plus 3 over denominator x plus 2 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Sketch the graph of ![y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2](data:image/png;base64,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)
Sketch the graph of ![y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2](data:image/png;base64,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)
Maths-General
General
Explain how you can use your graphing calculator to show that the rational expressions
and
are equivalent under a given domain. What is true about the graph
at x = 0and Why?
Explain how you can use your graphing calculator to show that the rational expressions
and
are equivalent under a given domain. What is true about the graph
at x = 0and Why?
GeneralGeneral
Maths-
If
then find the quotient from the following four option, when A is divided by B.
If
then find the quotient from the following four option, when A is divided by B.
Maths-General
Maths-
Find the extraneous solution of ![square root of 8 x plus 9 end root equals x](data:image/png;base64,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)
Find the extraneous solution of ![square root of 8 x plus 9 end root equals x](data:image/png;base64,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)
Maths-General
Maths-
Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.
Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.
Maths-General
Maths-
Sketch the graph of y = 2x - 5.
Sketch the graph of y = 2x - 5.
Maths-General
Maths-
Simplify each expressions and state the domain : ![fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction](data:image/png;base64,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)
Simplify each expressions and state the domain : ![fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction](data:image/png;base64,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)
Maths-General
Maths-
Reduce the following rational expressions to their lowest terms
![fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction](data:image/png;base64,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)
Reduce the following rational expressions to their lowest terms
![fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction](data:image/png;base64,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)
Maths-General