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Tju [1.3M]
3 years ago
14

The length of a rectangle is 4 inches less than its width, and its perimeter is 24 inches. Find the length and width of the rect

angle.
Mathematics
2 answers:
MrMuchimi3 years ago
6 0
7.5 is the width, 3.5 is length. 7.5(3.5)=24 and 2.5-3.5=4
Stella [2.4K]3 years ago
6 0
Let length(l) =x-4 then width(b)=x
p=24
or 2(x-4+x)=24
2x-4=12
2x=16
x=8
so l=8-4=4inches
b=8 inches
may it will help u
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Yes, it is a quadratic equation which is x² + 3x - 70 = 0

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Molodets [167]

A function that depicts depreciation can be represented as equations, graphs and tables.

<h3>The yearly value of each car for the first five years</h3>

The functions are given as:

V(t) =C(1 - r^t)

V(t) =C(1 - r)^t

Where:

C = 5895 --- the initial value of the car

r = 22% --- the rate of depreciation

For the first 5 years, the values of t = 1, 2, 3, 4 and 5

For the first function, we have:

V(1) =5895(1 - 22\%^1) = 4598.1

V(2) =5895(1 - 22\%^2) = 5609.7

V(3) =5895(1 - 22\%^3) = 5832.2

V(4) =5895(1 - 22\%^4) = 5881.2

V(5) =5895(1 - 22\%^5) = 5892.0

For the second function, we have

V(1) =5895(1 - 22\%)^1 = 4598.1

V(2) =5895(1 - 22\%)^2 = 3586.5

V(3) =5895(1 - 22\%)^3 = 2797.5

V(4) =5895(1 - 22\%)^4 =2182.0

V(5) =5895(1 - 22\%)^5 = 1702.0

So, the table of values is:

\left[\begin{array}{ccc}Years&Car\ 1&Car\ 2\\1&4598.1&4598.1\\2&5609.7&3586.5\\3&5832.2&2797.5\\4&5881.2&2182.0\\5&5892.0&1702.0\end{array}\right]

See attachment for the graphs of the two functions

<h3>Interpreting the graphs</h3>

The graph of car 1 increases up to C(t) = 5895, and then remains constant as the value of t increases while the graph of car 2 follows an exponential pattern.

This means that, the graph 2 that follows an exponential pattern is more realistic

<h3>The worth of the cars after 5 years</h3>

From the table, the worth of car 1 is $5892.0, while the worth of car 1 is $1702.0

Read more about graphs and functions at:

brainly.com/question/13473114

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2 years ago
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kap26 [50]

Answer:

true

Step-by-step explanation:

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