Part I Answer all parts of all five (5) questions in this part. (1
... y(0) = −6, y ′ (0) = 0. (9 points) (5) A tank with a capacity of 100 gallons initially contains 50 gallons of water with 10 pounds of salt in solution. Fresh water enters at a rate of 2 gallons per minute and a well-stirred mixture is pumped out at the same rate. Compute the amount of salt (in pound ...
... y(0) = −6, y ′ (0) = 0. (9 points) (5) A tank with a capacity of 100 gallons initially contains 50 gallons of water with 10 pounds of salt in solution. Fresh water enters at a rate of 2 gallons per minute and a well-stirred mixture is pumped out at the same rate. Compute the amount of salt (in pound ...
7.5SpecialLinearSystems
... Once the equations are in slope-intercept form, compare the slopes and intercepts. One solution – the lines will have different slopes. No solution – the lines will have the same slope, but different intercepts. Infinitely many solutions – the lines will have the same slope and the same intercept. ...
... Once the equations are in slope-intercept form, compare the slopes and intercepts. One solution – the lines will have different slopes. No solution – the lines will have the same slope, but different intercepts. Infinitely many solutions – the lines will have the same slope and the same intercept. ...
Test your understanding of matching and equational reasoning.
... When solving the problems in this quiz, you may only make use of matching and equational reasoning to manipulate expressions. In particular, making use of basic mathematical operations such as addition (e.g., 1 + 1 ≈ 2) and multiplication (2 ∗ 3 ≈ 6) is not permitted. ...
... When solving the problems in this quiz, you may only make use of matching and equational reasoning to manipulate expressions. In particular, making use of basic mathematical operations such as addition (e.g., 1 + 1 ≈ 2) and multiplication (2 ∗ 3 ≈ 6) is not permitted. ...
solving systems of linear equations graphically
... TOOLKIT: SOLVING SYSTEMS OF LINEAR EQUATIONS GRAPHICALLY Two or more equations considered together are called a system of equations. The following example is a system of two linear equations with two variables. Solving Systems of Equations by Graphing on Paper The solution will be a point (x, y) on ...
... TOOLKIT: SOLVING SYSTEMS OF LINEAR EQUATIONS GRAPHICALLY Two or more equations considered together are called a system of equations. The following example is a system of two linear equations with two variables. Solving Systems of Equations by Graphing on Paper The solution will be a point (x, y) on ...
3.1 - Bryan City Schools
... Make a table of values for each equation. Notice that when x = 3, the y-value for both equations is 1. ...
... Make a table of values for each equation. Notice that when x = 3, the y-value for both equations is 1. ...
converting a repeating decimal to a fraction
... 3. If applicable, rewrite the second equation so that its repeating part lines up with the repeating part in the original equation. 4. Subtract the original equation from the most recently obtained equation. (The repeating part should cancel at this step.) 5. If applicable, multiply both sides by a ...
... 3. If applicable, rewrite the second equation so that its repeating part lines up with the repeating part in the original equation. 4. Subtract the original equation from the most recently obtained equation. (The repeating part should cancel at this step.) 5. If applicable, multiply both sides by a ...
section 2.1
... Substituting this expression for y into the second equation yields 4 x 2(2 x 4) 8 ...
... Substituting this expression for y into the second equation yields 4 x 2(2 x 4) 8 ...
Solve Rational Equations
... 5: Remove any factors equal to 1, and write the result in simpli…ed form. 6: Solve the resulting equation. 7: Check all possible solutions in the original equation. Example 1: (Solving rational expressions) Solve the following equations. ...
... 5: Remove any factors equal to 1, and write the result in simpli…ed form. 6: Solve the resulting equation. 7: Check all possible solutions in the original equation. Example 1: (Solving rational expressions) Solve the following equations. ...
Basic Algebra - Why Are There Letters in My Math
... 2. Your goal in algebra is to get the variable on one side of the equation by itself. For example, when you get x = 7, you know you have solved the equation. 3. You can add, subtract, multiply, or divide terms (except 0) to one side of the equation, as long as you do the same thing to the other side ...
... 2. Your goal in algebra is to get the variable on one side of the equation by itself. For example, when you get x = 7, you know you have solved the equation. 3. You can add, subtract, multiply, or divide terms (except 0) to one side of the equation, as long as you do the same thing to the other side ...
system of equations - Gordon State College
... Step 1: Pick one of the equations and solve for one of the variables in terms of the remaining variables. Step 2: Substitute the result into the remaining equations. Step 3: If one equation in one variable results, solve this equation. Otherwise repeat Steps 1 and 2 until a single equation with one ...
... Step 1: Pick one of the equations and solve for one of the variables in terms of the remaining variables. Step 2: Substitute the result into the remaining equations. Step 3: If one equation in one variable results, solve this equation. Otherwise repeat Steps 1 and 2 until a single equation with one ...
7A-8B Benchmark Study Guide
... box values. You can make predictions using either row or column totals, depending on what you are given. Two Way Table Example Systems of Linear Equations *The solution to a system of equations is the point(s) of intersection for the lines within the system. Graphing: Make sure both lines are in s ...
... box values. You can make predictions using either row or column totals, depending on what you are given. Two Way Table Example Systems of Linear Equations *The solution to a system of equations is the point(s) of intersection for the lines within the system. Graphing: Make sure both lines are in s ...
A short article for the Encyclopedia of Artificial Intelligence: Second
... individuals to the booleans. Using characteristic functions to represent predicates, this latter type is used as the type of predicates whose one argument is an individual. Similarly, an expression that is of the type o is defined to be a formula. Typed expressions are built by application (if M is ...
... individuals to the booleans. Using characteristic functions to represent predicates, this latter type is used as the type of predicates whose one argument is an individual. Similarly, an expression that is of the type o is defined to be a formula. Typed expressions are built by application (if M is ...