0
What is relationship between special products and factoring two quadratic equation?
USED WYZANT FOR THIS ONE!!
I take no credit. Hope it helps.
So, let's use x2 - 3x - 28 as an example.
It's factors are (x - 7)(x + 4).
The roots are the x-values that make our expression equal 0. In order for x2 - 3x - 28 to equal 0, either of our factors need to equal 0, since 0 times anything is 0.
x2 - 3x - 28 = 0
(x - 7)(x + 4) = 0
x - 7 = 0
x = 7
(7 - 7)(7 + 4) = 0(11) = 0
x + 4 = 0
x = -4
(-4 - 7)(-4 + 4) = -11(0) = 0
That gives us two points on our graph, (7,0) and (-4,0). Where are those? On the x-axis! Thus, there are our x-intercepts.
By the way, for the future, along the x-axis, y = 0, so if you are asked for the x-intercepts (or roots), set y = 0 and solve for x.
Along the y-axis, x = 0, so if you are asked for the y-intercepts, set x = 0 and solve for y.
y = 02 - 3(0) - 28
y = -28
So, the y-intercept(s) of our same equation is y = -28, or (0,-28).
Boom.
What else can I help you with?
Can you give me an example of a real life situation involving quadratic functions?
Quadratic functions will be used in chemistry in real life. Quadratic equations are used to solve equilibrium problems and determine the amount of reactants in a mixture that will react and the concentrations of products that will be form.
What is the difference between a formula equation and a word equation?
* word equations: describe the substances that react in a chemical reaction (termed reactants ), and the products that are formed, along with their states * formula equations are a shorthand method used to describe the same reactions.
What are the two numbers that are multiplied together called?
The two numbers that are multiplied together are called factors. In a multiplication equation, the factors are the numbers being multiplied to find the product. For example, in the equation 5 x 4 = 20, the factors are 5 and 4.
Propane is burned to provide the heat in many cooking grills the chemical reaction for this process is shown in the equation below c3h8 plus 5o2 3 co2 plus 4h2o plus energy what are the products?
Propane is burned to provide the heat in many cooking grills. The chemical reaction for this process is shown in the equation below. C3H8 + 5O2 ? 3 CO2 + 4H2O + energy What are the products in this chemical reaction? 3CO2 + 4H2O + energy
What is an equation that sets two fractions equal to each other called?
An equation that sets two fractions equal to each other is called a proportion. In a proportion, the cross products of the fractions are equal. For example, if you have the proportion ( \frac{a}{b} = \frac{c}{d} ), then ( ad = bc ). Proportions are commonly used in solving problems involving ratios and rates.
How do you identify a quadratic relationship from an equation?
A quadratic equation is an equation that contains four terms and is in standard form ax2 + bx + c = 0. For example, 3x2 + 5x - 2 = 0 Solve by factoring the equation: (3x - 1) (x + 2) = 0 Use the Principal of Zero Products (which says that if the product of two factors is zero, then at least one of those factors is zero) to set each one of those factors to zero. Then solve accordingly. (3x - 1) = 0 (x + 2) = 0 3x = 1 x = -2 x = 1/3 These are the solutions.
What shows the relationship between the reactants and products in a chemical reaction?
the coefficients of a balanced reaction
A representation of a chemical reaction that uses symbols to show the relationship between the reactants and the products.?
This representation is a chemical equation.
How is quadratic equation used today?
In reality the quadratic equation as many functions in the scientific and mathematical world. The equation is used to find shapes, circles, ellipses, parabolas, and more. The quadratic formula looks a little menacing, however it is not . The quadratic equation is different from the formula and looks like this: and we will be discussing the quadratic equation. The quadratic equation is used to find the curve on a Cartesian grid. It is primarily used to find the curve that objects take when they fly through the air. For example a softball, tennis ball, football, baseball, soccer ball, basketball, etc. It also used to design any object that has curves and any specific curved shape needed for a project. The military uses the quadratic equation when they want to predict where artillery shells hit the earth or target when fired from cannons. So if your goal is to go into the military and work with artillery or tanks, you will be using the quadratic equation on a daily basis. Other uses of the quadratic equation include explaining how planets in our solar system revolve around the sun. Our planets were initially tracked by early scientists, who did not have the advantage of computers, and they used the quadratic equation to determine how planets in our solar system do not have circular orbits - they have elliptical orbits. Newton also based his laws of motion on the quadratic equation by defining the acceleration of objects and forces that act upon them. He based his laws on objects falling and moving, taking into consideration the objects are on a spinning object (earth), which is orbiting the our sun. Newton was not aware of the forces that act on our solar system from the rotation of the Milky Way Galaxy. Do you think this would have mad a difference in his calculations? No the answer would still be the same; however it would have taken him longer to calculate. The quadratic equation is used by car makers to determine how much and what type of brakes are needed to stop a car going at various speeds, while it is still on the drawing boards. This and other design functions which use the quadratic equation are part of the design steps of a new car, truck, motorcycle, and other types of automobiles. When a police officer investigates a car accident scene, he/she uses the quadratic equation in their efforts to determine what velocities the cars when traveling when the collision occurred. Also, who was at fault and why the vehicles were damaged the way they were. These calculations are also used by car designers to develop an even safer care for occupants during future collisions. The quadratic equation is used in the design of almost every product in stores today. The equation is used to determine how safe products are and the life expectancy of products, such as when they can expect to quit working. Designers can then see what needs to be changed in the product to make it last longer. Another area that the quadratic equation is helpful is in the design of sound systems, such as: speakers and electronic circuits for vibrating the speakers. Speakers send out sound waves and these sound waves vibrate or resonate, sometimes causing unwanted cancellations of sound waves. Designers use this equation to redesign the circuits and speakers so sound waves reinforce each other and do not cancel each other out for the best sound quality. The quadratic equation has many practical applications in the world beyond school. You may not think you need to know it now; however the higher paying jobs go to those who can use the quadratic equation to design safe and useful products for people.
what side of an equation is the products on?
The products are on the right side of a chemical equation.
How is special products and factoring important to architects?
Presumably so that they can come to an informed and calculated decision.
Whats is a quadratic equation such that the sum of the roots is 5 and the products of the roots is negative 14?
(√x + √y) = 5√(xy) = -14(√x + √y) - 5= √(xy) + 14From Superscot85: You asked for a quadratic, the above isn't but this is:x2 - 5x - 14 = 0 ie (x - 7)(x + 2) = 0 and roots are 7 and -2.
Is this chemical equation correct reactions ---- products?
I can help you verify the equation if you provide the specific reactants and products. Please share the chemical equation you are referring to.
What is a good example of commercial factoring?
Commercial factoring is the use of financial factoring to commercial products. That is, when something is to receive commercial product, they sell the ownership of said product before receiving it. Thus, the seller gets their money at a decreased risk and gives the buer the chance to profit from it.
Products are on what side of a chemical equation?
Reactants are on the left and products are on the right.
In a chemical equation the products are to the blank of the arrow and the reactants are to the blank?
In a chemical equation, the products are to the right of the arrow and the reactants are to the left.
Can you give me an example of a real life situation involving quadratic functions?
Quadratic functions will be used in chemistry in real life. Quadratic equations are used to solve equilibrium problems and determine the amount of reactants in a mixture that will react and the concentrations of products that will be form.
