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Olin [163]
1 year ago
13

A square rug lies in the middle of a rectangular room. There are 6 feet of uncovered floor on 2 sides of the rug and 2 feet of u

ncovered floor on the other 2 sides. Find a polynomial expression for the area of the rootn in terms of ×, the side length of the rug.
Mathematics
1 answer:
Gekata [30.6K]1 year ago
4 0

The polynomial expression for the area of the room is f(x) = x^2 + 16x + 48.

Here, we are given that the side of the length of the rug = x

Now, the square rug is placed on the rectangular room such that on 2 sides the uncovered floor is 6 meters.

This means that the length of the 2 opposite sides of the rectangle will be (x + 6 + 6) = (x + 12)

Similarly, there is 2 feet of uncovered floor on the other 2 sides, which means that the length of other two opposite sides is- (x + 2 + 2) = (x + 4)

Kindly refer to the diagram below for a better clarity of how we found out the sides.

Now, the area of a rectangle = Length × Breadth

Thus, area of the room = (x + 12) (x + 4)

= x^2 + 4x + 12x + 48

= x^2 + 16x + 48

Thus, the polynomial expression for the area of the room is f(x) = x^2 + 16x + 48

Learn more about quadratic equations here-

brainly.com/question/24334139

#SPJ9

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Answer:

140

Step-by-step explanation:

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3 years ago
Reduce the rate 210 miles per 3 hours to it's unit rate and write the miles portion of your answer
Rus_ich [418]

unit rate would be miles per hour

 so divide 210/3 = 70

 

6 0
2 years ago
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Which inequality best represents the graph? O A. 2x + y = 6 O B. x + 2y 6 O c. 2r- y< 6 O D. 2x - y > -6 E. 2x + y26​
Misha Larkins [42]

Answer:

It would be A

Step-by-step explanation:

5 0
3 years ago
I’m stuck on this problem
slavikrds [6]

The value of the f(-8) from the given f(x) is 1/53.

According  to the statement

we have given that the value of f(x) and with the value of this we hav eto find the value of f(-8).

So, For this purpose,

The given value of f(x) :

The function f(x) is

f(x) = 1 / x^2 -11

Now we find the value of the f(-8) then

For this put Put x is -8 in the f(x) then the equation become

f(x) = 1 / x^2 -11

f(-8) = 1 / (-8)^2 -11

f(-8) = 1 / 64 -11

f(-8) = 1 / 53.

here the value becomes 1/53.

So, The value of the f(-8) from the given f(x) is 1/53.

Learn more about function f(x) here

brainly.com/question/4025726

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4 0
1 year ago
What is the formula for the nth term of the given sequence? -17, -8, 1
Citrus2011 [14]

Answer:

The n^{th} term of A.P sequence

tₙ = 9 n - 26

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given sequence

                   - 17 , -8 , 1 .......

first term   = -17

Second term =  - 8

The difference of first two terms

                        d = - 8 -(-17) = -8+17 = <em>9</em>

The difference of next two terms

                        d = 1 - (-8) = 1+8 =   9

∴ The given sequence is  in A.P ( Arthimetic progression)

<u><em>Step(ii):-</em></u>

The n^{th} term of A.P sequence

                t_{n}  = a + ( n-1 ) d

Given a = - 17 and  d = 9

                t_{n}  = -17 + ( n-1 ) 9 = - 17 + 9 n -9 = 9 n - 26

<u><em>Final answer</em></u>:-

The n^{th} term of A.P sequence

tₙ = 9 n - 26

4 0
2 years ago
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