Question
Solve the radical equation ∛x + 2 = 4
Hint:
Rearrange the equation and then solve for x.
The correct answer is: ⇒ x = 8
Complete step by step solution:
Here given equation is ![cube root of x plus 2 equals 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAATCAYAAAADKFpSAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAfVJREFUeNpjYICA/1D8C4gvALEbA3bAg6SWXDxigAYQP8QhFwHE+xlGAVGACYjf4ZDbDsQpo0FEGAgD8RQgTsQiJwLE76H0KMADYGVYLA75DCBeP4jcaw3Ea4D4E1LZHk0nu30Ilfd8QNwKxGlY5EBlY8ggCsiDQBwJrQBBQAuIj0LFaAlA9l0jtuL8gcZXAOLXQMxBp5xBLpAH4ks0dt9MIE4mxp22QHwGTawCiGfj0QMyuAOLeDNUjl4BiS0RULs42YvPnbDyEeSIHdCYRQbngdiDgCXngFgciZ8IrbjomSItodmbUD1ATjuXDZra5cl1pw4QPwdiFgLqQAHdB2W7IMUcvQISVOychKYaWgBQjsvB5070GLFBk28H4n4iLdsNxPbQGlSYxNYCJb0hQSDegKdHRinQw5LS8brrMRCfQhO7D8QmRFpYAG2K6NGxslGCBqIKDSPtJBbz8bozC4j/IZV1FkB8m4hsjdyu66OwCUJKQGpAK0EuOrWxScox34B4GZQ9GYgbiEwVm6Ae4oHW+sI0DkhQZK8iMpIHpJk2B4i/Qx34Ghrr+IAoEG9DCzhQy38xjQNyCxFuG9CAFADiv0C8FoiPE1ALahKsA2JpLHLLiWgy0Sq7DYqABIHDUIUFo0MQlAFTaEDKjAYF5SBkNAiIBwDZCaLc5bzp2AAAAIp0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXJvb3Q+PG1pPng8L21pPjxtbj4zPC9tbj48L21yb290Pjxtbz4rPC9tbz48bW4+MjwvbW4+PG1vPj08L21vPjxtbj40PC9tbj48L21hdGg+ygFxvwAAAABJRU5ErkJggg==)
On rearranging the equation, we have ![cube root of x equals 4 minus 2](data:image/png;base64,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)
![table attributes columnalign right columnspacing 0em end attributes row cell space space space space space space space space space space space space space space space space space space space space not stretchy rightwards double arrow cube root of x equals 2 end cell row cell not stretchy rightwards double arrow x to the power of 1 third end exponent equals 2 end cell end table](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKMAAAA6CAYAAADcBekLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAiFUTTegAAAvZJREFUeNrt3U+IDmEAx/Fpk6Q30ZIDRZI2yYmiJRfJwXEPpD1stMlpDw5KSkn2tA7ccBJK/iWhJEkSic3VQXJw2KIckPLn9/Q+8jbNzPPM28w8M/N+P/XL7jvvuztmnnfeZ2bft18UoQn+2PxUZpVdKffr9Ny33wDeRpQPKcv2Ko/ZRKjKkPI5Zdl95SCbCFUYVs4pEwnLlipf7L9AJfPG8ZTlh5RbNVrfUeW68rVnrruf3dgei5RTymTCMjNXHKvRuj5R9tmTKmO98szehhb5Eft+tTKnLKj5eq9S3rL76umIPdrlsV15FbvtqHI+4zEHlOmE20/aZSGfSKiJY1H3Ms2o53zR7MgH9gjT642y2/EzXivLe76fsCdDvnPVIq5NbrUv1Qh84uGKmQsO9fHzNyiflHmO+5nBOmO/3qk8qng7mCnEC48nHgK7aAfkZY/BvC22/LRyxvP3PFR22DPb4Qr/f0uU21H6X45QsyPjtMeR8aPyMnbbe2WT57pMRd3LLBsLXv8sa+xAXMtQaMec8Z/Dyu+eud8W5Z3HS3QU/b/uN1Ph5ZURe2K1kF3djLPpTs7HfFOu2K/PKic8HmOOTnfsoOjYs/GyX6bNE+aa5xMFDXVB+W538pw9+mRZptyLDb49yqWS1/Oux7qh4RYrv5QbynPHfecrN5UVCcuuRu7LQWXNldEiT+1OnWJTILTNdjCuZFOgDsbYBAAAAAAAAACAQbZOOR5131wLBGXeqWM+5sqbFVAbDEYwGAEGIxiMAIMRDEYgzyDk8ygAAABwzRH5PDMAAABc80dX5RtQqazKN6BSWZVvQGWyKt+KREMWvOaN4xX8Lhqy4JRV+VY2GrIaIk9bVhGNV6GaqmjIaoC8zQf9Nl4ZSZVvrpd2GrJaOmcroi0rb+OVq/KtbDRkNVBWW1ZcqMarvGjIavCR0acty+in8aqMdc5CQ9YAzBlDNF7lRUNWg8+mfduyQjRe5UVD1gAI1XiVFw1ZLRey8arIuWaiv5knEV1kyrkKAAACmXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtdGFibGUgY29sdW1uYWxpZ249InJpZ2h0IiBjb2x1bW5zcGFjaW5nPSIwZW0iPjxtdHI+PG10ZD48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8gc3RyZXRjaHk9ImZhbHNlIj4mI3gyMUQyOzwvbW8+PG1yb290PjxtaT54PC9taT48bW4+MzwvbW4+PC9tcm9vdD48bW8+PTwvbW8+PG1uPjI8L21uPjwvbXRkPjwvbXRyPjxtdHI+PG10ZD48bW8gc3RyZXRjaHk9ImZhbHNlIj4mI3gyMUQyOzwvbW8+PG1zdXA+PG1pPng8L21pPjxtZnJhYz48bW4+MTwvbW4+PG1uPjM8L21uPjwvbWZyYWM+PC9tc3VwPjxtbz49PC9tbz48bW4+MjwvbW4+PC9tdGQ+PC9tdHI+PC9tdGFibGU+PC9tYXRoPh9uFAcAAAAASUVORK5CYII=)
On cubing both the sides, we have ![open parentheses x to the power of 1 third end exponent close parentheses cubed equals 2 cubed](data:image/png;base64,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)
![not stretchy rightwards double arrow x equals 8](data:image/png;base64,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)
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Aaron can join a gym that charges $19.99 per month plus an annual $12.80 fee , or he can pay $21.59 per month. he thinks the second option is better because he plans to use the gym for 10 months. Is Aaron correct ? Explain.
How can you determine whether the data in the table can be modelled by a quadratic function ?
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)
How can you determine whether the data in the table can be modelled by a quadratic function ?
![](data:image/png;base64,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)
A red balloon is 40 feet above the ground and rising at 2ft/s . At the same time , a blue balloon is at 60 feet above the ground and descending at 3 ft/s , What will the height of the balloon be when they are the same height above the ground ?
A red balloon is 40 feet above the ground and rising at 2ft/s . At the same time , a blue balloon is at 60 feet above the ground and descending at 3 ft/s , What will the height of the balloon be when they are the same height above the ground ?
Solve the radical equation
Check for extraneous solutions
Solve the radical equation
Check for extraneous solutions
Solve 34-2x= 7x
Solve 34-2x= 7x
How can you determine whether the data in the table can be modelled by a linear function ?
![](data:image/png;base64,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)
How can you determine whether the data in the table can be modelled by a linear function ?
![](data:image/png;base64,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)
Solve the radical equation ![square root of x plus 5 end root minus 1 equals 3](data:image/png;base64,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)
Solve the radical equation ![square root of x plus 5 end root minus 1 equals 3](data:image/png;base64,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)
Solve 27-3X= 3X+27
Solve 27-3X= 3X+27
two year prepaid membership at gym A costs $250 for the first year plus $19 per month for the second year . A two year prepaid membership at Gym B costs $195 for the first year plus $24 per month for the second year , Leah says the cost for both gym memberships will be the same after the 11th month of the second year , Do you agree , Explain.
A second-degree quadratic equation is an algebraic equation in x. Ax² + bx + c = 0, where 'x' is the variable, 'a' and 'b' are the coefficients, and 'c' is the constant term, is the quadratic equation in its standard form. A non-zero term (a ≠ 0) for the coefficient of x² is a prerequisite for an equation to be a quadratic equation. The x² term is written first, then the x term, and finally, the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of a, b, and c are not expressed as decimals or fractions but are written as integral values. There are a maximum of two solutions for x in the second-degree quadratic equations. These two solutions for x are referred to as the quadratic equations' roots and are given the designations (α, β). There are several ways to present the quadratic equations: (x - 1)(x + 2) = 0, 5x(x + 3) = 12x, x³ = x(x² + x - 3), where -x²= -3x + 1. Before carrying out any additional procedures, these equations are to be translated into the quadratic equation's standard form.
two year prepaid membership at gym A costs $250 for the first year plus $19 per month for the second year . A two year prepaid membership at Gym B costs $195 for the first year plus $24 per month for the second year , Leah says the cost for both gym memberships will be the same after the 11th month of the second year , Do you agree , Explain.
A second-degree quadratic equation is an algebraic equation in x. Ax² + bx + c = 0, where 'x' is the variable, 'a' and 'b' are the coefficients, and 'c' is the constant term, is the quadratic equation in its standard form. A non-zero term (a ≠ 0) for the coefficient of x² is a prerequisite for an equation to be a quadratic equation. The x² term is written first, then the x term, and finally, the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of a, b, and c are not expressed as decimals or fractions but are written as integral values. There are a maximum of two solutions for x in the second-degree quadratic equations. These two solutions for x are referred to as the quadratic equations' roots and are given the designations (α, β). There are several ways to present the quadratic equations: (x - 1)(x + 2) = 0, 5x(x + 3) = 12x, x³ = x(x² + x - 3), where -x²= -3x + 1. Before carrying out any additional procedures, these equations are to be translated into the quadratic equation's standard form.
Solve the radical equation
. Check for extraneous solutions
Solve the radical equation
. Check for extraneous solutions
Solve : 7X= 8X+12
Solve : 7X= 8X+12
Determine whether a table shows a linear , quadratic or exponential function ?
![](data:image/png;base64,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)
Determine whether a table shows a linear , quadratic or exponential function ?
![](data:image/png;base64,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)
Jamie will choose between two catering companies for an upcoming party. Company A charges a set up fee of $ 500 plus $25 for each guest. Company B charges a set up fee of $200 plus $ 30 per guest
a) Write expression that you can use to determine the amount each company charges for g guests .
b) Jamie learns that the $ 500 set up fee for company A includes payment for 20 guests. The $25 per guests charge is for every guest over the first 20.If there will be 50 guests , which company will cost the least ? Explain.
In this question, the answer is to find out with the help of the fixed cost and variable cost formulas. So let's first understand what variable and fixed costs mean and the formula to calculate costs.
Variable costs are expenses that varies in proportion to the number of goods or services produced by a company. In other words, they are costs that vary with the amount of activity. As a result, the costs rise as the volume of activities rises and fall as the volume of activities falls.
Total Variable Cost = Total Output Quantity x Variable Cost Per Unit Output.
A fixed cost is any business expense that does not change in response to production or sales. Fixed costs are also known as indirect costs or overhead. Fixed costs cannot be changed to reduce expenses. Instead, they typically rely on an outside entity, such as a landlord or bank. Fixed costs include rent, insurance, and labor costs.
Fixed cost = Total cost of production - (No. of units produced x Variable cost per unit)
To find the total cost,
Total cost= Fixed cost + Variable cost
Jamie will choose between two catering companies for an upcoming party. Company A charges a set up fee of $ 500 plus $25 for each guest. Company B charges a set up fee of $200 plus $ 30 per guest
a) Write expression that you can use to determine the amount each company charges for g guests .
b) Jamie learns that the $ 500 set up fee for company A includes payment for 20 guests. The $25 per guests charge is for every guest over the first 20.If there will be 50 guests , which company will cost the least ? Explain.
In this question, the answer is to find out with the help of the fixed cost and variable cost formulas. So let's first understand what variable and fixed costs mean and the formula to calculate costs.
Variable costs are expenses that varies in proportion to the number of goods or services produced by a company. In other words, they are costs that vary with the amount of activity. As a result, the costs rise as the volume of activities rises and fall as the volume of activities falls.
Total Variable Cost = Total Output Quantity x Variable Cost Per Unit Output.
A fixed cost is any business expense that does not change in response to production or sales. Fixed costs are also known as indirect costs or overhead. Fixed costs cannot be changed to reduce expenses. Instead, they typically rely on an outside entity, such as a landlord or bank. Fixed costs include rent, insurance, and labor costs.
Fixed cost = Total cost of production - (No. of units produced x Variable cost per unit)
To find the total cost,
Total cost= Fixed cost + Variable cost