Answer type the correct answer in each box. spell all words correctly, and use numerals instead of words for numbers. if necessary, use / for the fraction bar(s). a café owner is designing a new menu and wants to include a decorative border around the outside of her food listings. due to the cost of printing, the border should have an area of 48 square inches. the width of the border needs to be uniform around the entire menu. she has already determined that her food listings will fit within a 13-inch by 9-inch rectangular area. the area of the decorative border can be modeled by the following equation, where x represents the width of the decorative border.( )x2 + ( )x = is it reasonable for the border to be 2.5 inches wide ( )  (yes/no)

Refer to the attached image.

Let the width of the border be 'x' inch.

Area of border = Area of rectangle ABCD - Area of rectangle PQRS

Area of rectangle ABCD =

=

= square units.

Area of rectangle PQRS =

=

= 117 square units.

So, area of border =

As it is given that the area of border is 48 square units.

So,

So, the complete equation is .

Now, we will find 'x' in the equation ,

(x-1) (x+12)=0

So, x = 1 or x = -12

Width can'not be negative.

So, x = 1 .

Therefore, the width of the border can'not be 2.5 inch.

Therefore, the width of the border is 1 inch.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: