Which quadratic equation models the situation correctly.

Oct 26, 2020 · At a horizontal distance of 30 ft, the cable is 15 ft above the roadway. The lowest point of the cable is 6ft above the roadway and is a horizontal distance of 90 ft from the left bridge support. Which quadratic equation models the situation correctly? y = 0.0025(x - 90)² + 6 The main cable attaches to the left bridge support at a height of ft. Linear Quadratic, Exponential Review Question 8: Squaring a number yields five times that number. If the number is x, which of the following equations correctly models the situation? a) x^2 = 5x b) e^(x + 5) = 0 c) 55 = x^2 d) (x - 5) = 0Which quadratic equation models the main cable of the bridge correctly? O y=0.048x^2 - 2494 y = 0.048x^2-6 Get the answers you need, now! O y=0.048x^2 - 2494 y = - brainly.comanswer answered Which quadratic equation models the situation correctly? y = 27 (x – 7)2 + 105 y = 27 (x - 105)2 +7 y = 0.0018 (x – 7)2 + 105 y = 0.0018 (x - 105)2 + 7 rotate Advertisement Loved by our community 66 people found it helpful sqdancefan report flag outlined Answer: y = 0.0018 (x -105)² +7 Step-by-step explanation:

The projectile-motion equation is s(t) = −½ gx2 + v0x + h0, where g is the constant of gravity, v0 is the initial velocity (that is, the velocity at time t = 0 ), and h0 is the initial height of the object (that is, the height at of the object at t = 0, the time of release). Yes, you'll need to keep track of all of this stuff when working ...f ( x) = x 2 g ( x) = 6 x 2 h ( x) = 0.3 x 2 p ( x) = − x 2. Parabolas with varying widths and directions, based on the a-values. To graph a quadratic function, follow these steps: Step 1: Find ...

Math. Calculus. Calculus questions and answers. The Davidson family wants to expand its rectangular patio, which currently measures 15 ft by 12 ft. They want to extend the length and width the same amount to increase the total area of the patio by 160 ft^ (2). Which quadratic equation best models the situation?

There are many real-world scenarios that involve finding the maximum or minimum value of a quadratic function, such as applications involving area and revenue. In this lesson, we will explore a way to maximize the area of a fenced enclosure, as well as how selling price can affect the number of units sold. In graph (a) below, the parabola has a ...At a horizontal distance of 30 ft, the cable is 15 ft above the roadway. The lowest point of the cable is 6ft above the roadway and is a horizontal distance of 90 ft from the left bridge support. Which quadratic equation models the situation correctly? y = 0.0025(xA softball pitcher throws a softball to a catcher behind home plate. the softball is 3 feet above the ground when it leaves the pitcher’s hand at a velocity of 50 feet per second. if the softball’s acceleration is –16 ft/s2, which quadratic equation models the situation correctly? h(t) = at2 vt h0 h(t) = 50t2 – 16t 3 h(t) = –16t2 50t 3 3 = –16t2 50t h0 3 = 50t2 – 16t h0The volume formula for a cylinder is V = π r 2 h. Using the symbol π in your answer, find the volume of a cylinder with a radius, r, of 4 cm and a height of 14 cm. 49. Solve for h: V = π r 2 h. 50. Use the formula from the previous question to find the height of a cylinder with a radius of 8 and a volume of 16 π. 51.Steps to Solve Quadratic Equation by Completing the Square Method. Consider the quadratic equation, ax2 + bx + c = 0, a ≠ 0. Let us divide the equation by a. Multiply and divide 2 to x term. Hence, the required solution of the quadratic equation 2x2 + 8x + 3 = 0 is x = ± √5 2- 2.

5 minutes. 1 pt. A diver is standing on a platform above the pool. He jumps form the platform with an initi8al upward velocity of 8 ft/s. Use the formula h t = −16 t 2 + 8t + 24, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height.

In math, we define a quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = ax ^2 + bx + c, where a, b, and ...

Quadratic equations form parabolas when graphed, and have a wide variety of applications across many disciplines. ... In physics, for example, they are used to model the trajectory of masses falling with the acceleration due to gravity. Situations arise frequently in algebra when it is necessary to find the values at which a quadratic is zero ...Jun 17, 2020 · The main cable of a suspension bridge forms a parabola described by the equation, We have to find, The value of a. According to the question, The given relationship between the variables x and y is, In the given graph the points of the parabola are (30, 7.92), (50, 6), and (70, 7.92) 1. The value of an at the point (30, 7.92) is, 2. Example 11.6.2. Find the vertex and the extreme value of the function q(n) = − 3n2 − 5n + 3. Solution. Notice a = − 3, which means a < 0. Hence, q(n) is an downwards parabola and, from the definition, we expect q(n) to have a maximum value. Let's use the formula to find the vertex, where a = − 3 and b = − 5.9,974.73. 1.05. A professor uses a video camera to record the motion of an object falling from a height of 250 meters. The function f (x) = -5x2 + 250 can be used to represent the approximate height of the object off the ground after x seconds. Which is the best estimate for the amount of time elapsed when the object is 120 meters off the ground?Quadratics. A quadratic equation is an equation of the following form: ax2+bx+c=0 where x represents an unknown variable, a, b, and c are constants, and a≠0. The left side has all of the fancy numbers and variables, while the right side is 0. Because the term ax2 is raised to the second degree, it is called the quadratic term.in the quadratic model. Summary Modeling with Quadratic Equations 2 Slide 3. Use the values of the constants to write the quadratic equation that models the situation. 4. Choose a method of solving the quadratic equation. • Determining the square root • Completing the • Factoring • Using the quadratic formula Jul 10, 2019 · in the quadratic model. Summary Modeling with Quadratic Equations 2 Slide 3. Use the values of the constants to write the quadratic equation that models the situation. 4. Choose a method of solving the quadratic equation. • Determining the square root • Completing the • Factoring • Using the quadratic formula

Click the "New Equation" button, the piece of paper in the yellow panel, to generate a two-step equation of the form ax + b = c. Use the tools to set up the equation, and click the Check tool to check your model. Once you have the correct setup, use zero pairs and remove tiles as necessary to solve the equation.Click the "New Equation" button, the piece of paper in the yellow panel, to generate a two-step equation of the form ax + b = c. Use the tools to set up the equation, and click the Check tool to check your model. Once you have the correct setup, use zero pairs and remove tiles as necessary to solve the equation.After doing so, solve for x x as usual. The final answers are {x_1} = 1 x1 = 1 and {x_2} = - {2 \over 3} x2 = -32. Example 3: Solve the quadratic equation below using the Quadratic Formula. This quadratic equation looks like a "mess". I have variable x x 's and constants on both sides of the equation.It means that you have more variables than equations—that multiple combinations of sag and tension could be compatible with what you know about the span length and the deck mass. Also known as underdetermined. But the sag/height of the bridge is usually known/set during the design process. Then the tension is calculated, and the …If, for example, someone purchases 3 pounds of bananas, and each pound costs $0.49, that is a linear model. The equation for this model would be {eq}y\ =\ 0.49x {/eq}, where x is the number of ...

Quadratic Equation in Standard Form: ax 2 + bx + c = 0. Quadratic Equations can be factored. Quadratic Formula: x = −b ± √ (b2 − 4ac) 2a. When the Discriminant ( b2−4ac) is: positive, there are 2 real solutions. zero, there is one real solution. negative, there are 2 complex solutions.An equation containing a second-degree polynomial is called a quadratic equation. For example, equations such as and are quadratic equations. They are used in countless ways in the fields of engineering, architecture, finance, biological science, and, of course, mathematics. Often the easiest method of solving a quadratic equation is factoring.

So, equation of parabola becomes , after substituting value of a. 3(x-8)²= -(y+9) Drawing these graphs on desmos graphing , and getting the point of intersection of these curves. The solution of the system of equation i.e path of skaters is the point of intersection of equation of circle and two parabolas both slanting towards negative y axis.Feb 4, 2021 · Answer: 0.35 the next one is d(v) = 2.15v^2 / 22.54 Step-by-step explanation: i just did this assignment. also thanks to the answer above me :)A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is 2. [1] There are three main ways to solve quadratic equations: 1) to factor the quadratic equation if you can do so, 2) to use the quadratic formula, or 3) to complete the square.Question: Find a quadratic equation that models the situation (use the position equation). A projectile is fired straight upward with an initial velocity of 60 feet per second from a height of 300 feet. Use the position equations = S = -1612+ Define variables (specifically tell me the letter of the variable and what it means in this model) Then type the equation.If the area of the rectangle is 60 centimeters squared, which equation models the situation correctly? Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website! If the length is l, then w, width, equals l-4. So your equation looks like: A=l x w 60= l(l-4) Solving, we get:Study with Quizlet and memorize flashcards containing terms like A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box?, Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1 + i) + (21 ...

Quadratic equations pop up in many real world situations! Here we have collected some examples for you, and solve each using different methods: Factoring Quadratics Completing the Square Graphing Quadratic Equations The Quadratic Formula Online Quadratic Equation Solver Each example follows three general stages:

Study with Quizlet and memorize flashcards containing terms like A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches. Which equation can be used to solve for x, the increase in side length of the square in inches?, Which are the roots of the quadratic function f(b) = b^2 - 75? Check all that apply., Two positive integers are 3 units ...

The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in feet of the cable above the roadway, x is the horizontal distance in feet from the …How close to the ground is the lowest part of the rope?, The Air Quality Index, or AQI, measures how polluted the air is in your city and assigns a number based on the quality of the air. Over 100 is "Unhealthy". Given the following quadratic regression equation, estimate the number of days the AQI exceeded 100 in the year 1995.Using Quadratic Equations to Model Situations and Solve Problems of quadratic functions and help ensure students interpret the task context correctly. Get the best Homework answer If you want to get the best homework answers, you need to ask the right questions.Write and solve a quadratic equation for the situation below. Choose the answer that has both an equation that correctly models the situation as well as the correct solution for the situation. Suppose a model rocket is launched from a platform 2 ft above the ground with an initial upward velocity of 150 ft/s.where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.)The numbers a, b, and c are the coefficients of the equation and may be distinguished by respectively calling them, the quadratic coefficient, the linear coefficient and the constant coefficient or free term.To complete the square, first, you want to get the constant (c) on one side of the equation, and the variable (s) on the other side. To do this, you will subtract 8 from both sides to get 3x^2-6x=15. Next, you want to get rid of the coefficient before x^2 (a) because it won´t always be a perfect square.Solve quadratic equations by factoring. ... is good to know different ways to solve quadratic equations so you will be prepared for any type of situation. After completing this tutorial, you will be a master at solving quadratic equations. Solving equations in general is a very essential part of Algebra. ...The quadratic equation y = -6x2 + 100x - 180 models the store's daily profit, y, for selling soccer balls at x dollars.The quadratic equation y = -4x2 + 80x - 150 models the store's daily profit, y, for selling footballs at x dollars. Use a graphing calculator to find the intersection point (s) of the graphs, and explain what they mean in the ...

A softball pitcher throws a softball to a catcher behind home plate. The softball player is 3 feet above the ground when it leaves the pitchers hand at a velocity of 50 ft per second. If the softballs acceleration is -16ft/s^2, which quadratic equation models the situation correctly?Find a quadratic equation linking Y with x that models this situation. The ... M1 Correct method of solving their quadratic equation to give at least one solution.It hits the ground when h(t) = 0. Use the quadratic formula to solve h(t) = 0. You will get a positive and a negative value. Since time starts at t = 0, the correct solution is the positive value. (3) Maximum height is reached at the vertex of the height-vs.-time parabola, which occurs at. t = -b/(2a) a = -16. b = 15. Plug in the numbers and ...Instagram:https://instagram. lccu clarkstonkings dominion weathercracking void eggwhat season did seal team move to paramount plus Modeling a Situation. Quadratic equations are sometimes used to model situations and relationships in business, science, and medicine. A common use in business is to maximize profit, that is, the difference between the total revenue (money taken in) and the production costs (money spent).From the quadratic equation to find how many marbles they had to start with, if John had x marbles. A. 3 6, 9. B. 2 0, 2 5. C. 3 0, 1 5. D. 2 7, 1 8. Medium. Open in App. Solution. Verified by Toppr. Correct option is A) Given John and Jivanti together have 4 5 marbles. Let the number of Marbles John had be = x. novant ilearnpractice permit test nj Study with Quizlet and memorize flashcards containing terms like The first three steps in writing f ( x ) = 40 x + 5 x 2 in vertex form are shown. Write the function in standard form.f(x) = 5x2 + 40xFactor a out of the first two terms.f(x) = 5(x2 + 8x)Form a perfect square trinomial. = 16f(x) = 5(x2 + 8x + 16) - 5(16) What is the function written in vertex form?, Isoke is solving the quadratic ... bass lake resort and rv campgrounds new york parish photos A quadratic equation is in factored form when it is written as a product of two linear factors. For example, g ( x) = ( x + 2) ( x − 3) is the factored form of g ( x) = x 2 − x − 6 . The factored form is particularly useful, because we can set each factor equal to zero to find the x -intercepts of the graph of the function.How you establish a quadratic model depends upon what information you have available. Probably the easiest way to find a quadratic model is if you are given 3 points (p_1,q_1), (p_2,q_2), (p_3,q_3) which satisfy the quadratic model. A quadratic can be expressed as: ax^2 + bx + c With 3 points we can write 3 equations with a, b, c as variables: a(p_1)^2 + b(p_1) + c = q_1 a(p_2)^2 + b(p_2) +c ...y - 2 (x - 4)² = 2. 5x + 11y = 62. Study with Quizlet and memorize flashcards containing terms like Two boats depart from a port located at (-8, 1) in a coordinate system measured in kilometers and travel in a positive x-direction. The first boat follows a path that can be modeled by a quadratic function with a vertex at (1, 10), whereas the ...