Patricia has a square-shaped photo of her soccer team that she plans to give to her coach. she decides to put the photo in a rectangular frame that is 15 centimeters longer than the length of the picture. this will leave enough space beneath the photo for patricia's teammates to sign their names.
the area of the framed picture is given by the quadratic expression below, where x represents the side length, in centimeters, of the photo.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

the answer is a) y= 2 csc [0.5 (x+pi/2)]-1

step-by-step explanation: