2) Jeremy needs to build a fence around his pool. The pool and the sidewalk around it have a distance around 300 feet, so the perimeter of the fence needs to be at least 300 feet. The
length of the fence is four more than two times the width. What is the length and width?

length = 26.6

width = 11.3

Step-by-step explanation:

1. Set up the equation

(2x + 4)(x) = 300

2. Simplify

2x² + 4x = 300

3. Solve by completing the square

Divide by 2 to make "a" equal to 1

x² + 2x = 150

Find term to complete the square by squaring half of "b"

(2/2)² = 1

x² + 2x + 1 = 150 + 1

Factor perfect square trinomial

√x² + 2x + √1 = 151

(x+1)² = 151

Square root each side

x + 1 = ±12.3

Set up two possibilities and solve

x + 1 = 12.3

x = 11.3

x + 1 = -12.3

x = -13.3

The measurement cannot be negative so width is equal to 11.3

4. Use the width to solve for the length

11.3(2) + 4 = 26.6

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.