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let X = the first vs According to the equation

The two phrases are not directly comparable as they serve different purposes. 'let x = the first' is used in mathematics to assign a value to a variable, while 'according to the equation' is used to introduce information derived from an equation. They are used in different contexts and cannot be interchanged.

Last updated: March 15, 2024 • 715 views

This phrase is correct in the context of mathematics when assigning a value to a variable.

"let X = the first"

This phrase is commonly used in mathematical contexts to denote assigning a specific value to a variable, usually at the beginning of a problem or equation.

Examples:

  • Let x = 5 in the equation.
  • Let y = the first term of the sequence.
  • Let z = the unknown variable.
  • SOLUTION: Which equation should be used to solve this problem? The sum of two consecutive even integers is 42. Find the numbers. Let x = the first number.
  • Find the numbers. Let x = the first number. Algebra -> Customizable Word Problem Solvers -> Numbers -> SOLUTION: The sum of two consecutive even integers ...
  • Let x = the first number. c. Label other unknown quantities in terms of x. Let 30 – x = the other number. Since the numbers have to add to 30, if we subtract one ...
  • To set up this problem, let x = the first integer. Then x + 1 = the next consecutive integer. The equation is x(x + 1) = 210. 2) The integers are 5 and 7. (NOTE: –1.5 ...

This phrase is correct and commonly used to introduce information derived from an equation.

"According to the equation "

This phrase is used to indicate that the following information or result is based on the given equation or mathematical expression.

Examples:

  • According to the equation, the solution is x = 3.
  • According to the equation provided, the answer is correct.
  • According to the equation given, the value of y is 10.
  • Mar 10, 2009 ... According to the equation (1.1.) -- where it's quite clear what "the equation" refers to because there are no other equations in the context, or it ...
  • SOLUTION: A particular compound decays according to the equation y =ae^- 0.0974t, where t is in days. Find the half-line of this compound.
  • SOLUTION: A particular compound decays according to the equation y=ae^(- 0.974t), where t is in days. Find the half-life of this compound.
  • A 0.5 kg mass vibrates according to the equation x=0.45cos(8.4t), where x is in meters and t is in seconds. Determine a) the amplitude b) the frequency.

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