How can you use algebraic expressions to solve problems?
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Final answer:
Algebraic expressions can be used to solve problems in mathematics by representing unknown quantities with variables, setting up equations based on given information, and using algebraic manipulation to find the values of the variables.
Explanation:
Algebraic expressions can be used to solve problems in mathematics by representing unknown quantities with variables, setting up equations based on given information, and using algebraic manipulation to find the values of the variables. Here is a step-by-step process to solve problems using algebraic expressions:
- Read the problem carefully and identify the quantities involved.
- Choose variables to represent the unknown quantities.
- Write down the information given in the problem as equations using the variables.
- Simplify and manipulate the equations using algebraic operations, such as addition, subtraction, multiplication, and division.
- Solve the equations to find the values of the variables.
- Check your solution by substituting the values back into the original equations.
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Final answer:
Algebraic expressions can be used to solve problems by representing unknown quantities with variables and using equations to find their values. It is important to read the problem carefully, identify the unknowns, and set up equations to solve for the variables.
Explanation:
Algebraic expressions can be used to solve problems in mathematics by representing unknown quantities with variables and using equations to find the values of those variables. When faced with a problem, you can set up an algebraic equation using the given information and solve for the unknown variable. For example, if you are asked to find the value of a number when it is multiplied by 5 and added to 10, you can write the equation as 5x + 10 = unknown value, where x represents the unknown number. By solving this equation, you can determine the value of the unknown number.
When using algebraic expressions to solve problems, it is important to carefully read and understand the problem, identify the unknowns, and define variables to represent them. Once the unknowns are identified, you can use the given information to set up equations and solve for the variables. It is also important to check the solution to ensure that it makes sense in the context of the problem.
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Thirty four divided by x is the same as 17
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The y-intercept of the function f(x) = 2x^2 - 2x + 1 is (y = 1), as determined by substituting (x = 0) into the function, resulting in (f(0) = 1). This point represents the value of the function when it intersects the y-axis.
- To find the y-intercept of the quadratic function f(x) = 2x^2 - 2x + 1, we need to determine the value of f(x) when x is equal to 0. The y-intercept occurs when x = 0 because it represents the point where the graph of the function intersects the y-axis.
- So, substitute x = 0 into the function:
- f(0) = 2(0)^2 - 2(0) + 1
- f(0) = 0 - 0 + 1
- f(0) = 1
- Therefore, when x = 0, the value of the function f(x) is 1. This is the y-coordinate of the y-intercept. The point representing the y-intercept is (0, 1).
- So, the y-intercept of the function f(x) = 2x^2 - 2x + 1 is 1. This means that the graph of the function intersects the y-axis at the point (0, 1).
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Answer:
1
Step-by-step explanation:
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So we combine like terms first
1.8x + 2.1x = 3.9x
3.9x + 15.5 -12.2
3.9x + 3.3
hope i helped :)
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Answer:
It is 4.9 x 10-4
Step-by-step explanation:
So every time you do this type of scientific notation you need to count how many "0" there are and you need to check if they are in front of the number ( ex: 74.000 ) or if the are in the back ( ex: 0.0074 ) In this case since is in the back you would get the 10 and put it to the power of -4 since there is 4 zeros behind it. and then you just get the " 4 9 "( put a " . " between it ) and multiply it by . ( You don't need to actually do the multiplication unless your teacher ask you to )
Hope this helps ✌️
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24-16=8 days
105/8=13.125 assignment per day.
So, you have to get done 14 assignment per day.