The length of a rectangle is 4 feet more than 3 times the width. (A = { x w and P = 2l + 2w) (a) Express the area A as a function of the width w. O A = tw square units (2_ 4l O A(e) = square units 3 3 O A(w) = 3w2 – 4w square units A(w) = 4w² + 3w square units A(w) = 3w2 + 4w square units (b) Express the perimeter P as a function of the length O P(t) = e – 1) units O P(w) = 8w + 8 units O P(t) = 8l + 8 units O P(t) = -3 8 units p() - 8, 1 upits
The length of a rectangle is 4 feet more than 3 times the width. (A = { x w and P = 2l + 2w) (a) Express the area A as a function of the width w. O A = tw square units (2_ 4l O A(e) = square units 3 3 O A(w) = 3w2 – 4w square units A(w) = 4w² + 3w square units A(w) = 3w2 + 4w square units (b) Express the perimeter P as a function of the length O P(t) = e – 1) units O P(w) = 8w + 8 units O P(t) = 8l + 8 units O P(t) = -3 8 units p() - 8, 1 upits
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
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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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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
![The length of a rectangle is 4 feet more than 3 times the width. (A = { x w and P = 2l + 2w)
(a) Express the area A as a function of the width w.
O A = {w square units
(2
O A(t)
48
square units
3
3
O A(w) = 3w2
- 4w square units
A(w)
4w² + 3w square units
O A(w) = 3w2 + 4w square units
(b) Express the perimeter P as a function of the length {.
O P() =D 을(? - 1) units
O P(w)
= 8w + 8 units
O P(t) = 8l + 8 units
O P(t) = -3
8
units
O P(t) =
1 units](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63b21e12-32ab-4236-a3ec-7d0c88bb8aaa%2Fec914fdc-5d0c-44e5-abde-c5df3e0b37c6%2F3vf14rv_processed.png&w=3840&q=75)
Transcribed Image Text:The length of a rectangle is 4 feet more than 3 times the width. (A = { x w and P = 2l + 2w)
(a) Express the area A as a function of the width w.
O A = {w square units
(2
O A(t)
48
square units
3
3
O A(w) = 3w2
- 4w square units
A(w)
4w² + 3w square units
O A(w) = 3w2 + 4w square units
(b) Express the perimeter P as a function of the length {.
O P() =D 을(? - 1) units
O P(w)
= 8w + 8 units
O P(t) = 8l + 8 units
O P(t) = -3
8
units
O P(t) =
1 units
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