Learning Materials
Features
Discover
Chapter 3: Problem 7
Which of the following is equivalent to \(\left(12 x^2+4 x+5 y\right)+\left(3 x^2-2 x+\right.\) \(3 y) ?\) A) \(2 x^2-2 x+8 y\) B) \(2 x^2+15 x+8 y\) C) \(15 x^2-2 x+8 y\) D) \(15 x^2+2 x+8 y\)
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Once a certain plant begins to grow, its height increases at a linear rate. After six weeks, the plant is 54 centimeters tall. Which of the following functions best models the relationship between \(h(w)\), the height, in centimeters, of the plant, and \(w\), the number of weeks that the plant has been growing? A) \(h(w)=6 w\) B) \(h(w)=9 w\) C) \(h(w)=54 w\) D) \(h(w)=54+w\)
The population, \(P\), of Town \(Y\) since 1995 can be estimated by the equation \(P=1.0635 x+3,250\), where \(x\) is the number of years since 1995 and \(0 \leq x \leq 20\). In the context of this equation, what does the number \(1.0635\) most likely represent? A) The estimated population of town \(Y\) in 1995 B) The estimated population of town \(Y\) in 2015 C) The factor by which the population of town \(Y\) increased yearly D) The factor by which the population of town \(Y\) decreased yearly
Bryan, who works in a high-end jewelry store, earns a base pay of \(\$ 10.00\) per hour plus a certain percent commission on the sales that he helps to broker in the store. Bryan worked an average of 35 hours per week over the past two weeks and helped to broker sales of \(\$ 5,000.00\) worth of jewelry during that same two-week period. If Bryan's earnings for the two-week period were \(\$ 850.00\), what percent commission on sales does Bryan earn? A) \(1 \%\) B) \(2 \%\) C) \(3 \%\) D) \(4 \%\)
The rotation rate of a mixing blade, in rotations per second, slows as a liquid is being added to the mixer. The blade rotates at 1,000 rotations per second when the mixer is empty. The rate at which the blade slows is four rotations per second less than three times the square of the height of the liquid. If \(h\) is the height of liquid in the mixer, which of the following represents \(R(h)\), the rate of rotation? A) \(4-9 h^2\) B) \(1,000-(4-3 h)\) C) \(1,000-(9 h-4)\) D) \(1,000-\left(3 h^2-4\right)\)
Luciano measured the amount of water that evaporated over a period of time from a container holding \(w\) ounces of water, where \(w\) is greater than 12. By the end of the first day, the cup had lost 2 ounces of water. By the end of the 7th day, the cup had lost an additional 8 ounces of water. By the end of the 11th day, the cup had lost half of the water that remained after the 7th day. Which of the following represents the remaining amount of water, in ounces, in Luciano's container at the end of the 11th day? A) \(\frac{w-2}{8}\) B) \(\frac{w-2}{2}-10\) C) \(\frac{1}{2} w-10\) D) \(\frac{w-10}{2}\)
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App