The answer to the question is given in the question!If you want to find the value of an algebraic expression, then you need to substitute numerical values for each of the variables in the expression, and then calculate and simplify the result.
3x+2 x is a variable. A variable is a symbol (x, y, etc...) that does not have an assigned value.
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y = 2*tan(2x) is an equation in two variable. There can be no answer. While x can be made the subject of the formula, that is not an *answer*.
Scientific fields that make use of trigonometry include: acoustics, architecture, astronomy , cartography, civil engineering, geophysics, crystallography, electrical engineering, electronics, land surveying and geodesy, many physical sciences, mechanical engineering, machining, medical imaging , number theory, oceanography, optics, pharmacology, probability theory, seismology, statistics, and visual perception. Various types of equations can be solved using trigonometry. For example, a linear difference equation or differential equation with constant coefficients has solutions expressed in terms of the eigenvalues of its characteristic equation; if some of the eigenvalues are complex, the complex terms can be replaced by trigonometric functions of real terms, showing that the dynamic variable exhibits oscillations. Similarly, cubic equations with three real solutions have an algebraic solution that is unhelpful in that it contains cube roots of complex numbers; again an alternative solution exists in terms of trigonometric functions of real terms.
Periodic functions are those functions for which the value of the dependent variable repeats itself for certain values of the dependent variable.example:F(x)=yx is the dependent variable (output of the function)y is the independent variable (input of the function)F(x1)=y1F(x2)=y1As you can see the value of the function is the same for two different values of the dependent variable.The smallest difference between any two dependent variables giving the same value of the function is the period of the function.The periodicity of the usual sine function is 2pi. This is how it works:F(X)=sin(X)sin(x1)=ysin(x2)=sin(x1+2pi)=ysin(x3)=sin(x1+4pi)=yThe smallest difference between any two independent variables (x1 or x2 or x3) is 2pi.This is also evident from the general sine curve (graphical representation). The sine function has a fixed range from -1 to 1 (i.e.,for sin(x)=y, y can only lie between -1 and 1). So, the interval (difference in values of the independent variable) after which the nature of the wave repeats is it's period. Look at the graph and you'll see that the wave replicates after covering 2pi from the current point.
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Variable is any letter used in an algebraic expression, and can vary (change form) to be any number, and one variable means the same number in any single algebraic expression. Usually algebra is simplifying the expression or equation until you know what the variable is equal to.
There are a few rules for simplifying an algebraic expression. Specifically, one should combine like terms, and then they should try to isolate the variable by doing the opposite, either multiplication or division.
Yes, algebraic expressions can be solved, depending on the type of expression and the variable(s) involved. If the expression has a single variable, it can typically be solved for that variable using algebraic techniques such as simplifying, factoring, or isolating the variable. However, if the expression has multiple variables or complex operations, solving it may require more advanced algebraic techniques or numerical methods.
And the question is ...
An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.
The variable is d, in the algebraic expression 7d+2
Of course! that is the objective of the algebraic expression, isn't it?
When you replace the variable with a number and perform the operations, you evaluate an expression. This process involves substituting the numerical value for the variable and simplifying the expression according to the given operations. Evaluation is a fundamental concept in mathematics and is used to determine the value of the expression under specific conditions.
An expression with a variable.
Yes. That is the definition of an algebraic expression.
An expression that contains at least one variable is called an algebraic expression. Algebraic expressions consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. These expressions can be simplified or evaluated by substituting specific values for the variables. Algebraic expressions are fundamental in algebra and are used to represent mathematical relationships and solve equations.