Gravity on Earth If a rock falls from a height of 100 meters on Earth, the height H (in meters) after t seconds is approximately H(t) = 100 - 4.9t2(a) In general, quadratic functions are not one-to-one. However, the function H is one-to-one. Why? (b) Find the inverse of H and verify your result. (c) How long will it take a rock to fall 80 meters?

Q: Gravity on Earth If a rock falls from a height of100 meters on Earth, the height H (in meters) after…

A: Given, H(t) = 100 - 4.9t2

Q: As blood moves through a vein or artery, its velocity v is greatest along the central axis and…

A:

Q: An oil slick is expanding as a circle. The radius of the circle is currently 4.5 inches and is…

A: Given:          Area of circle A=πr2        radius of circle =4.5 inches     Increasing rate for the…

Q: A model rocket is launched straight up. Its height in feet (y) above the ground x seconds after…

A: The height of the rocket after x seconds of the launch is given by y=-16x2+208x+12. The given time…

Q: A ball is thrown upward and outward from a height of 7 feet. The height of the ball, f(x), in feet,…

A: Let a function f(x) defined on [a,b] having critical point at c i.e, f'(c)=0  f(x) become maximum…

Q: Sketch the graph of the function by applying the Leading Coefficient Test, finding the real zeros of…

A:

Q: Write the quadratic function in standard form. f(x) = x2 + 16x + 59 f(x) =        Sketch its…

A:

Q: Write the quadratic function in standard form. h(x) = 8x2 − 8x + 21

A: Given:

Q: A class of models for population growth rates in marine fisheries assumes that the harvest from…

A:

Q: A right circular cone has a radius of 2x + 5 and a height '3' units less than its radius. Express…

A:

Q: A ball is thrown upward from the top of a 48 foot-high-building. The ball is 64 feet above ground…

A: Given A ball is thrown upward from the top of a 48 foot-high-building. The ball is 64 feet above…

Q: se the Leading Coefficient Test to describe the right-hand and left-hand behavior of the graph of…

A: Given query is to find the end behaviour if the graph.

Q: What is the formula for a cubic polynomial function having x-intercepts at 1, 5, 7.

A: We have to find the formula for a cubic polynomial function having x-intercepts at 1, 5, 7.Since

Q: A great deal of the history of mathematics can be credited to ancient Egyptians. For example,…

A: Given, the relationship between theamount of revenue and the price of a ticket, by the quadratic…

Q: A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the…

A: We have to calculate maximum height of the baseball and time required for this.

Q: 1.How do you find the polynomial if roots is given?

A: Polynomial corresponding to the roots

Q: The rate growth G, in thousands of dollars per year, in sales of a certain product is a functions of…

A:

Q: Find the formula of f(x), a polynomial function of a last degree

A: To find the polynomial f(x) whose graph is given

Q: 5. A particular breed of tilapia has its weight w (in kg) related to its length L (in cm) modeled by…

A:

Q: x2(x-3) (x+5)3 Use the Lacing Method to solve 2 0. Graph the polynomial equivalent of the given…

A: The rational function is a function that contains a numerator and denominator, both in polynomial…

Q: The zeros of a polynomial function and the coefficients of the function are related. Consider the…

A: Given- fx=x+2x-1x+3 To Check- How the zeros of the above function is related to the standard form of…

Q: Consider the polynomial function g(x) = 3x2 + 4x – 5. Find: (a) g(0) (b) g(-2). We will substitute…

A:

Q: Write the quadratic function in standard form. f(x) = x2 − 6x + 1 f(x) =  (x−3)2−8       Sketch…

A: You have correctly solved the standard form.   Since we only answer up to 3 sub-parts, we’ll answer…

Q: Find a quadratic function f whose graph matches the one in the figure. 40- 45,3) f(x) =(x+D…

A:

Q: The rate growth G, in thousands of dollars per year, in sales of a certain product is a function of…

A: Given: The rate growth G, in thousands of dollars per year, in sale of certain product of the…

Q: A ball is thrown vertically upward from the ground with an initial velocity of 124 ft/sec.Use the…

A: topic - quadratic equations

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If…

A: Let the function be fx=ax3+bx2+cx+d It is given that f-1=50, ⇒f-1=a-13+b-12+c-1+d50=-a+b-c+d…………i…

Q: A projectile is fired vertically upward from a height of 175175 feet above the ground, with an…

A: Given:A projectile is fired vertically upward from a height of 175 feet above the ground with an…

Q: The regression in DESMOS using y₁ ~ Ax₁² + Bx₁ + C would try to find the best fit for the x₁/y₁ data…

A: Given that the regression in DESMOS is using y1~Ax12+Bx1+C to find the best fit for x1|y1 data…

Q: cermine the equation of this polynomial function:

A: From the graph  f0=0, f-1=-3, f1=3

Q: . Write the quadratic function in standard form  f(x)=x^2-8x+21 =  2. Write the quadratic function…

A:

Q: A class of models for population growth rates in marine fisheries assumes that the harvest from…

A: Given that  G(n)=0.4n-0.2n^2 Graph the function and find G(1.63)

Q: Determine the domain and range of the quadratic function. (Enter your answers using interval…

A: The given function is f(x)=(x-9)2+1

Q: If a rock falls from a height of 100 meters on Earth, the height H (in meters) after t seconds is…

A: a)We know that most of the quadratic functions are not one-to-one .For example, f(x)=x2 is not a…

Q: how do i do this problem write a quadratic function f whose only zeros are 11 and 2

A:

Q: "The factored form of a polynomial function is f(x)=(x−1−3)(x−2−3i)(x−1−3)(x−2+3i). What is the…

A: "The factored form of a polynomial function is f(x)=(x−1−3)(x−2−3i)(x−1−3)(x−2+3i). What is the…

Q: A person standing close to the edge on top of a 16-foot building throws a baseball vertically…

A: The quadratic function s(t)=16t2+64+16 models the balls height of baseball above the ground, s(t),…

Q: The flight of a kicked football follows the quadratic function f(x)=−0.02x2+2.2x+2, where f(x) is…

A:

Q: (a) Find the function for the quadratic model that gives the most expensive rates in dollars per…

A: Use online quadratic regression calculator and obtain the result as follows: fx=0.003x2-0.132x+1.656…

Q: A ball is dropped from the top of a 256-foot-highbuilding. The ball is 192 feet above ground after2…

A: A ball is dropped from the top of a 256-foot-high building. The ball is 192 feet above ground after2…

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If…

A:

Q: A ball is thrown upward from the top of a 128​-foot-high building. The ball is 144 feet above ground…

A: Given data:   The initial height of the ball is hi=128 m. The height of the ball after one second is…

Q: Consider the quadratic equation: x2-4x+4=0a) Use the discriminant, b2-4ac, to determine the number…

A: The quadratic equation is

Q: Home Range The home range of an animal is theregion to which the animal confines its movements.The…

A: The function given to us is  h(x)=0.11(x)1.36 where x is the mass of the animal in grams and h(x) is…

Q: ). A person standing close to the edge on top of a 36-foot building throws a ball vertically upward.…

A: Since , You have asked multiple question , weWill solve the first question for you. ifyou want any…

Q: 2. Mitzu shoots an arrow from an initial height of 2 meters. The arrow reaches its maximum height of…

A: ⚛Equation of the  downward parabola when vertex(h, k) is given,  (X - h)^2 = - 4p( Y - k)  where (h,…

Q: The volume of a box shaped like a rectangular prism is given by the function V (x) = 3x° + 8x² – x +…

A:

Q: A class of models for population growth rates in marine fisheries assumes that the harvest from…

A: Solution

Q: 31. State the degree and dominant term of this polynomial function. f(x) = 2x(x – 3)°(x + 1)(4x – 2)…

A: 31) The degree of the polynomial function is 6 and the dominant term is =2*x*x^3*x*4*x=8x^6

Q: eate a polynomial function in standard form that has the following characteristics: a. Degree…

A: