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Svetllana [295]
3 years ago
7

To fit between two windows, the width of a bookshelf must be no greater than feet. Mrs. Aguilar purchases a bookshelf that is 77

inches wide. Which statement describes the relationship between the width of the bookshelf and the distance between the windows?
A:The bookshelf is 12 inches too wide to fit between the windows.
B:The bookshelf will fit between the windows with no extra room remaining.
C:The bookshelf will fit between the windows with 1 inch remaining.
D:The bookshelf is 5 inches too wide to fit between the windows.
Mathematics
2 answers:
ch4aika [34]3 years ago
8 0

Answer:

C

Step-by-step explanation:

Got it correct, Edge2020

EastWind [94]3 years ago
7 0

The distance between the windows is not given. I have searched for this question in other sources and came up with 6.5 ft.

6.5 ft = 78 inches

The width of the bookshelf  = 77 inches

Hence the book shelf with fit between the windows and still there will be 78-77  = 1 inch of space remaining

Hence the right option is option C


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Answer:

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Step-by-step explanation:

Given:

The expression to expand is given as:

(x-3)(x-9)(x-4)

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

(a + b)(c + d) = ac + ad + bc + bd

(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

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  • The solution is given on a graph at the end of this answer.

A similar problem is given at brainly.com/question/24132092

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