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Why are there usually two solutions in quadratic equations?
It is easier to understand this if you draw the curve of the equation as a graph. From the graph you will see that the line curves back on itself, usually in a nice parabolic curve. Because it curves back, you find that most values of Y correspond to two different values of X - so there are two solutions.
What are the values of k when the line of y equals kx -2 is a tangent to the curve of y equals x squared -8x plus 7?
If: y = kx -2 and y = x^2 -8x+7 Then the values of k work out as -2 and -14 Note that the line makes contact with the curve in a positive direction or a negative direction depending on what value is used for k.
A graph is a pictorial representation of what?
Any type of graph is a pictorial representation of data values. A continuous line graph, such as a curve or a parabola, may represent a variable equation.
What is the y value in the function f(x)3x to the power of 2 minus 3?
As it is a function and a parabola, it has many y-values. To find a certain one, you would plug a number in for x and solve it, or you could graph the equation see what points fall on the curve. In essence, that equation is the y-values.
What shape is a Cooling curve graph?
A Cooling curve graph changes shape.
Why the slope between volume and temperature rise exponentially?
As temperature increases, the bonds between the particles of the substance break down at a faster and faster rate. As the state transitions from solid to liquid and liquid to gas, the volume the substance occupies increases along an exponential curve.
Is demand needed in equilibrium?
Yes. Equilibrium is created at the intersection of the Demand curve and Supply Curve. Equilibrium can be shifted if the Demand curve increases or decreases, and the same happens when the Supply curve increases or decreases. Without demand, you would just have a Supply curve.
Each iteration used to define the Koch Curve increases the length of the curve?
true
When rounding a curve a car is usually drawn toward the inside of the curve What is the cause of this?
Centripetal force
What is growth curve?
A growth curve is a graphical representation of how the age of an organism increases over time.
When minimum wage increases for workers how does this affect the supply curve for a company?
When minimum wage increases for workers this affects the supply curve upwards for the company. This will mean that the cost goes up which pushes the curve to the left.
When the diameter of the cylinder increases what happens to the curve of the meniscus?
When the diameter of the cylinder increases, the meniscus curve becomes less pronounced. This is because the larger diameter allows for a greater surface area, reducing the surface tension effects that create the meniscus curve.
What does the slope of resistance Vs temperature curve gives?
The slope of a resistance vs. temperature curve gives the temperature coefficient of resistance, which quantifies how much the resistance of a material changes with temperature. Positive values indicate the resistance increases with temperature (e.g., in most metals), while negative values indicate the resistance decreases with temperature (e.g., in semiconductors).
What is the purpose of making a standard curve?
The values of many curves cannot be calculated analytically: the process requires painstaking numerical estimation. The values of a standard curve can be calculated once and published for ready reference. This means that, given any other curve in the same family, it is possible to transform it to the standard curve and the reference values can be used.
A reduction in the level of unemployment would have which effict with respect to the nation's production possibilities curve..........?
It would not shift the curve; it would be represented by moving from a point inside the curve toward the curve.
How many curves in back bone?
There are three natural curves in the backbone. The cervical lordosis and the lumbar lordosis both curve toward the front of the body. The thoracic curve is toward the other direction.
What does the Arrhenius equation graph reveal about the relationship between reaction rate and temperature?
The Arrhenius equation graph shows that as temperature increases, the reaction rate also increases. This relationship is represented by a curve that slopes upwards, indicating that higher temperatures lead to faster reaction rates.
