Quadratic Equations Can Have Two, One, or No Solutions
Quadratic equations with one variable can have one solution, two solutions, or no solution at all.
Subject: graph
Transcript: VARIABLE. WE'LL USE THE SAME EQUATION AND GRAPH. WE'LL JUST PICK A VALUE FOR Y. THAT WILL GIVE US A QUADRATIC EQUATION WITH ONE VARIABLE. SUPPOSE Y IS EQUAL
Practical Problem: Phone Calls With a Surcharge
Using the slope-intercept form of equation, the amount of a hotel will charge to make a call from the phone in their room is calculated.
Series: Linear Equations And Graphs III
Subject: graph
Practical Problem: The Cost of Plumbing Repairs
A practical application of the slope-intercept equation involving rate of change is demonstrated.
Series: Linear Equations And Graphs III
Subject: graph
Practical Problem: Find the Rate of Gas Pumped
Illustrating the slope formula with a practical rate problem.
Series: Linear Equations And Graphs II
Subject: graph
Parabola, The
Every parabola has an extreme value, which is the highest or lowest point on the curve, and is symmetrical.
Subject: graph
Transcript: LET'S TAKE A CLOSER LOOK AT THE PARABOLA. THE GRAPH OF EVERY QUADRATIC EQUATION WITH TWO VARIABLES IS A PARABOLA. A PARABOLA MAY OPEN UP OR DOWN. IT
Practical Problem: Shelf Space
Using the substitution method with a system of equations to solve a practical problem involving use of shelf space.
Subject: graph
Slope Formula, The
The slope formula enables you to use two ordered pairs to find slope. Sub notation is used for clarity.
Series: Linear Equations And Graphs II
Subject: graph
Graphing Linear Equations with One Variable
How to graph a linear equation with one variable.
Series: Linear Equations And Graphs I
Subject: graph
Transcript: CAN PROVE IT BY SHOWING THAT THE GRAPH OF THIS EQUATION IS A STRAIGHT LINE. IN THIS CASE, Y CAN BE ANY NUMBER. BUT X MUST ALWAYS EQUAL 5. WE DON
Graphic of Quadratic Equations
All quadratic equations with two variables have an infinite number of solutions. When graphed, these ordered pairs lie on a curve called a parabola.
Subject: graph
Transcript: VARIABLES. FIRST, WE'LL MAKE A TABLE OF VALUES FOR X AND Y. THEN WE'LL GRAPH THE POINTS ON THE COORDINATE PLANE. LET'S SEE, WHEN X IS 0, Y IS 8. THAT'S THE
Slope Defined
Slope is the ratio that shows the rate of change between two pints. Calculating slope using a graph is demonstrated.
Series: Linear Equations And Graphs II
Subject: graph
Transcript: NARRATOR: WE USE GRAPHS LIKE THIS ONE TO SEE THE RATE AT WHICH THE VALUE OF Y CHANGES AS THE VALUE OF X CHANGES. WE CALL THIS RATE OF CHANGE SLOPE