Competency: Solves problems involving polynomial functions (M10AL-IIb-2)Activity 1: Answer the problems to the best of your ability. Show your complete solution.1. Careena likes throwing rocks at the ocean. When she throws the rock upward from 160 ft.above the ocean, h(t) = - 16t2 + 48t + 160 models the height h of the rock above the ocean asa function of time t in seconds. How long will it take the rock to reach the ocean (h= 0)?%3D2. The number of citizen (N) of Barangay San Isidro in t years is predicted to increase and canbe modeled by the function N(t) =citizens will be residing at Barangay San Isidro?7t - 4t + 150t + 17500. After 3 years, how many

Disclaimer- Since you have asked multiple questions, we will solve the first question for you. If…

Answered: utuncy. UUIVC3 piUUICHI. vity 1: Answer…

utuncy. UUIVC3 piUUICHI. vity 1: Answer the problem . Careena likes throwing above the ocean, h(t) = a function of time t in s %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.2: Transformations Of Quadratic Functions

Problem 27PPS

See similar textbooks

Related questions

Q: 15. Jackson builds legos at a rate of 3 projects per hour. Write a function that represents the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which function most accurately models a bacteria population that doubles every hour? P(t) = 2+t PO)…

A: We have to find which of the function most accurately models a bacterial population that doubles…

Q: e given function is not = Re(z)

Q: a) What is the change in demand if the price increases by 3%? Let E = 0.55. Use the following…

A: Topic- basic maths

Q: How do I solve this in a calculator

Q: Question attached

A: Determine the quadratic equation using three given coordinates:

Q: The logistic growth function describes the population, f(t), of an endangered species of elk t years…

A: The given growth function is: ft=1401+9e-0.165t

Q: certain cellphone company offers a plan that costs P1,200.00 er month. The plan includes 180 free…

A: Given that

Q: d) Compare the predicted change in greenhouse gas emissions between 2020 and 2025 to the change…

A: Given: The function rule for G(t) is Gt=-258.8182t+6558 where, t is the number of years since 2019.…

Q: Until women reach their mid-60s, they tend to get less sleep per night as they age. The average…

A: The average number of hours for sleep is 8. The women sleep per night can be modeled is…

Q: a. In the following table, compute a y-value by multiplying each previous y-value by 5. What type of…

Q: The decrease in the number of colonies of honey bees, essential to pollinate crops providing one…

Q: 82. If we know an antiderivative of a function, do we know the function? Explain. If not, what…

A: By only knowing the anti derivative , we cannot find the function.

Q: 13. Cecilia's paycheque increases by $100 every month. What type of relation is this? a. linear b.…

Q: A company that sells woollen hats has seen a generally linear growth in their profits over 2019,…

A: Let m represents the number of months since the beginning of 2019 and P represents the profit. The…

Q: Carrie, marine biologist is performing experiments along the continental slope off of the coast of…

A: Now the speed of the current at the depth of the robot as a function of time is,

Q: Suppose we want to estimate e0.017. What is the linear function that will best estimate the function…

Q: The function models the number of people, f(t), in a city who have become ill with influenza t weeks…

A: The given function models the number of people, f(t), in a city who have becomeill with influenza t…

Q: Alondra Garcia Solve for Input of Function Given Output Aug 26, 9:48:4O PM Watch help video Given…

Q: TEACHER PRAC Under a set of controlled laboratory conditions, the size of the population of a…

A: Given Function :

Q: S. Show that the two functions yn = Aet (interest compounding) and y2 = Aet (discounting) are mirror…

A: Let's find.

Q: In 2005 a record 51.5% of paper consumed in the US was recycled. The American Forest and Paper…

A: Given, In 2005 a record 51.5% of paper consumed in the US was recycled. The American Forest and…

Q: The population in an African preserve is estimated to at 600 lions. The growth rate based on the…

A: Solution

Q: pts) When Apollo 15 astronaut David Scott dropped a hammer and a feather on the moon hammer and the…

Q: 7. Use the information in the table to answer the question below. * Tree Height Vine Height The…

A: Tree height Year x ∆x Height (ft) y ∆y 0 2 1 1 6 4 2 1 10 4 3 1 14 4 1 4

Q: Q3 The table below reports an annual variation of the air temperature, TC, at a hydrological…

A: Given information: The data represents the values of annual variation of the air temperature T0C, at…

Q: The function describes the number of people, f(t), who have become ill with influenza t weeks after…

A: ft=30,0001+20e-1.5t a). To find the number of people became ill with the flu when the epidemic…

Q: A towns population, each year, can be modeled by the function P=12000(1.025)^t how fast, as a…

Q: S. Show that the two functions n = Aet (interest compounding) and y2 = Aert (discounting) are mirror…

Q: Between 1990 and 2000, Nevada was the fastest growing state in the nation, with an annual growth…

Q: 3. Which function has the greater constant rate of change? Which has the greater initial value?…

Q: Divers in Acapulco, Mexico, dive headfirst at 8 feet per second from the top of a cliff 87 feet…

A: Use the position function s(t) = −16t2 +v0t + s0Where,v0 = initial velocitys0 = initial positiont =…

Q: The life expectancy E of a main-sequence star depends on its mass M. The relation is given by the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: How do I answer question 30 and 31?

A: According to this question:Starting point of bacterial culture with 500 bacteria and doubles in…

Q: C(p) = 0.225p + 160,000 %3D 8. For the years 2010 to 2025, the function C(p) shown above expresses…

A: Here, Cp=0.225p+160,000

Q: The graduated cylinder above contains p milliliters of water. More water begins flowing into the…

A: Given, A graduated cylinder contains p mL of water. More water begins flowing into the cylinder at a…

Q: S. Show that the two functions y = Aet (interest compounding) and y2 = Aert (discounting) are mirror…

Q: On wet roads, under certain conditions the front tires of a car will hydroplane, or run along the…

A: Step:-1 Since, given that V as a power function of p and p V 25 52.5 30 57.4 35 62.0 40…

Q: The population of Kuwait was 3 million in 2010 and grew to 4.25 million by 2020. (a) Write a model…

A: Given that population is 3 million in 2010 and 4.25 million in 2020. Let us denote P(t) be…

Q: Q.4. Annual depth of precipitation X (cm) is assumed to be lognormally distributed with u-50, ox=10.…

Q: Until women reach their mid-60s, they tend to get less sleep per night as they age. The average…

A: Calculation:(a)Consider the given model, s(w) = 2.697(0.957W) hours.The given model is observed to…

Q: c. What is the initial value of g? g(0) = = 27.2 Preview d. Write a function formula for g. g(x)…

A: Given: Input-Output pair of an exponential function g as To find: (c) The initial value of g…

Q: 4. If t is in years since 1990, the population, P, of the world can be modeled by P = 5.3e0.014…

A: Given the world population since 1990 is, P = 5.3e0.014t (in billions) Where t is the number of…

Q: A population of bacteria can be modeled by the function () = 1000(0.98)', where t represents the…

Q: 4000 For a particular commodity, the demand function is q = a. Find e when p 16. Preview b. Is…

Q: a factory workers are dralning a large vat contalning water. The water is being drained at a…

A: Let the equation of the Function be y=mx+c Consider the points (15,590) and (20,500) Given: (x1,y1)…

Q: price - demand related through 40p+x=5000 calculate p such that E(p)=1

Q: log(salary) = 8.34 + 0.0047LSAT + 0.248GPA + 0.095log(libvol) %3D + 0.038log(cost) + 0.0033rank 1 +…

A: For GPA difference by 1 point and all other ceteris paribus, the difference in median starting…

Q: Which of the following best describes the function shown below? a. Linear b. Quadratic c.…

A: Given:

Q: Compare the predicted change in greenhouse gas emissions between 2020 and 2025 to the change between…

A: We are given the following data. By the part (a), we get the rule for an exponential function E(t)…

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Competency: Solves problems involving polynomial functions (M10AL-IIb-2)
Activity 1: Answer the problems to the best of your ability. Show your complete solution.
1. Careena likes throwing rocks at the ocean. When she throws the rock upward from 160 ft.
above the ocean, h(t) = - 16t2 + 48t + 160 models the height h of the rock above the ocean as
a function of time t in seconds. How long will it take the rock to reach the ocean (h= 0)?
%3D
2. The number of citizen (N) of Barangay San Isidro in t years is predicted to increase and can
be modeled by the function N(t) =
citizens will be residing at Barangay San Isidro?
7t - 4t + 150t + 17500. After 3 years, how many

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

(a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.
What can we conclude if, in general, the graph of apolynomial function exhibits the following endbehavior? As x,f(x) and as x,f(x).
Maximize volume An open box is to be constructed from a piece of cardboard 20 inches by 24 inches by cutting a square of length x from each corner and folding up the sides as shown in the figure. a. Write a polynomial function V(x) that expresses the volume of the constructed box as a function of x. b. Use the theory learned about graphing polynomial functions and graph V(x). c. What is the domain of the function as it relates to the application problem? d. Use a graphing calculator to graph the function, and estimate the value of x that gives the maximum volume and then estimate the maximum volume. Round to one decimal place.
If a polynomial function of degree n has n distinctzeros, what do you know about the graph of thefunction?
Writing an Equation The graph of a fourth-degree polynomial function y=fx is shown. The equation has 2i as zeros. Write an equation for f.
Too Many Corn Plants per Acre? The more corn a farmer plants per acre, the greater is the yield the farmer can expect. But only up to a point, many plants acre can cause Overcrowding and decrease yields, data give yields per acre for various densities of corn plantings, as found by researchers at a university test farm. (a) Find the quadratic polynormal that best fits the data. (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. (c) use your result (b) to estimate the yield for 37000 plants per acre.
What is the relationship between the degree of apolynomial function and the maximum numberof turning points in its graph?
Sales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?