Apicture is 4.25 inches wide and 7.75 inches tall. it is mounted in a frame with a border of x inches wide on all sides. if the area of the shaded border is 45 inches squared, what is its width x?

ANSWER:  

Width of border is 1.5 inches            

SOLUTION:

Given,  

Width of the photo graph = 4.25 inches

Height of the photo graph = 7.75 inches  

And it is mounted in a frame with border of x inches, so the dimensions after mounting will be

Width after mounting = (4.25 + x + x) [ since, two sides of photograph will have borders

Height after mounting = (7.75 + x + x) [ since, two sides of photograph will have borders  

Area of border = 45 square inches

As we all know that, photograph will be in rectangular shape,  

Area of photograph =

Area of photograph after mounting =

Now, area of border = Area of photograph after mounting - Area of photograph before mounting

  [by dividing the equation with 4]

As length can’t be negative, x =

Hence , the width x is 1.5 inches

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

y -5 = (-1/4)(x + 8)

step-by-step explanation: