Evaluating and Solving Radical FunctionsA person's Body Mass Index is calculated with the formula: BMIweightheight2703 where weight isin pounds and height is in inches. If a person's BMI is above 25 and below 30, they are classified asoverweight. If we solve this equation for height, we can determine how tall a person of a given weightshould be if they have a BMI of 25.Suscriss)703wOur new Function is H(w) = V bwhere H(w) is the person height in inches and w is a personweight in pounds and b is the person's Body Mass Index (BMI). Use the function to answer the followingquestions.Determine how tall a person is if they weigh 215 pounds and they have a BMI of 25. Round your answerto one decimal place.The person that weights 215 pounds and has a BMI of 25 is aboutIf a person is 63 inches tall and has a BMI of 25, determine their weight.A person that is 63 inches tall and has a BMI of 25 will weigh approximatelypounds.inches tall.

Answered: Image /qna-images/answer/a77c32f2-9e1f-4775-bbb5-be1f13070cea.jpg

Answered: Evaluating and Solving Radical…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter9: Solving Quadratic Functions

Section9.5: Solving Quadratci Equations Using The Quadratic Formula

Problem 72E

See similar textbooks

Similar questions

Running Ants A scientist observed that the speed S at which certain ants ran was a function of T, the ambient temperature. He discovered the formula S=0.2T-2.7, Where S is measured in centimetres per second and T is in degrees Celsius. a. Using functional notation, express the speed of the ants when the ambient temperature is 30 degrees Celsius, and calculate that speed using the formula above. b. Solve for T in the formula above to obtain a formula expressing the ambient temperature T as a function of the speed S at which the ants run. c. If the ants are running at a speed of 3 centimeters per second, what is the ambient temperature?
Use a calculator with a yx key or a Λ key to solve: The 1986 explosion at the Chernobyl nuclear power plant in the former Soviet Union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function f(x) = 1000(0.5) x /30 describes the amount, f(x), in kilograms, of cesium-137 remaining in Chernobyl x years after 1986. If even 100 kilograms of cesium-137 remain in Chernobyl’s atmosphere, the area is considered unsafe for human habitation. Find f(80) and determine if Chernobyl will be safe for human habitation by 2066.
. A bacteria culture initially contains 100 cells and grows at arate proportional to its size. After an hour the population hasincreased to 420.(a) Find an expression for the number of bacteria after thours.
. Marriage Rate The marriage rate per 1000 unmarriedwomen for the years 1987–2014 can be modeled bythe function 132x + 1000y = 9570, where x is thenumber of years after 1980. During what year doesthe equation indicate the marriage rate will be 4.29?(Source: National Vital Statistics Report 2010)
Determine whether the given statement makes sense or does not make sense, and explain your reasoning : "The function f(x) = (1.96x + 3.14)/(3.04x + 21.79), models the fraction of nonviolent prisoners in New York State prisons x years after 1980. I can conclude from this equation that over time the percentage of nonviolent prisoners will exceed 60%."
Brynn and Denise launch their rockets at the same time. The height of Brynn’s rocket, in meters, is given by the function f(x)=−4.9x2+75x, where x is the number of seconds after the launch. The height of Denise’s rocket, in meters, is given by the functiong(x)=−4.9x2+50x+38, where x is the number of seconds after the launch. There is a moment when the rockets are at the same height. What is this height? Enter your answer, rounded to the nearest tenth of a meter, in the box.
The average annual pay for truckers P in a certain country (in thousands of dollars) can be approximated by the following function, where x represents the number of years since 2000. P=0.369x2−7.56x+73.3 (5≤x≤15) Find the average annual pay in 2009. Write the expression that can be used to find the average annual pay in 2009.
Studies have shown that the number of accidents a driver has varies with the age of the driver, and is highest for very young and very old drivers. The number of serious accidents for drivers of age x during a recent year was approximately f(x) = 0.013x2 − 1.48x + 48 for 16 ≤ x ≤ 85. Find the age that has the least accidents, rounding your answer to the nearest year.
Women in the Workforce Using data starting with1950 and projected to 2050, the number of women(in millions) in the workforce is given by the functionP = 0.79x + 20.86, where x equals the number ofyears after 1950.a. Find the value of P when x = 70. Explain whatthis means.b. What value of x represents 2030? Use the model tofind the number of women in the workforce in 2030.(Source: U.S. Census Bureau)
It has been shown that the height of an adult can be accurately predicted by the length of their forearm. A function used to predict the height of a person h(x)= 39 + 2.7x, where x is the length of a persons forearm in inches. (a) interpret the meaning of 2.7 in the context of the problem. (b) interpret the meaning of 39 in the context of the problem. Does this make sense?
Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? Write an expression for the total area A in terms of both x and y. A= Use the given information to write an equation that relates the variables. Use part (d) to write the total area as a function of one variable. A(x)= Finish solving the problem by finding the largest area. ____ft^2
The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. A circle is being dilated such that the radius is growing in time, m in minutes, according to the function r= 2m + 5. Express the circumference as a function of time in minutes, m.

SEE MORE QUESTIONS

Recommended textbooks for you

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS