9. The grass in the backyard of a house is a square with side length 10 m. A square patio is placed in the centre. If the side x 10 m length, in metres, of the patio is x, then the area of grass remaining is given by the relation A = -x² + 100. a) Graph the relation. b) Find the intercepts. What do they represent? c) How does the equation change if the grass in the backyard of a house is a square with side length 12 m? d) For what values of x is each equation

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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9. The grass in the backyard
of a house is a square
with side length 10 m. A
square patio is placed in
the centre. If the side
x 10 m
length, in metres, of the patio is x, then the
area of grass remaining is given by the
relation A = -x² + 100.
a) Graph the relation.
b) Find the intercepts. What do they
represent?
c) How does the equation change if the
grass in the backyard of a house is a
square with side length 12 m?
d) For what values of x is each equation
valid?
Transcribed Image Text:9. The grass in the backyard of a house is a square with side length 10 m. A square patio is placed in the centre. If the side x 10 m length, in metres, of the patio is x, then the area of grass remaining is given by the relation A = -x² + 100. a) Graph the relation. b) Find the intercepts. What do they represent? c) How does the equation change if the grass in the backyard of a house is a square with side length 12 m? d) For what values of x is each equation valid?
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