Polynomial ! 50 points! show all work to number 50 part a and b

2x^2 + 100x +800

1350 ft^2

Step-by-step explanation:

The length of the pool and walkway is x+40

The width of the pool and walkway is x +20+x = 2x+20

Area is length times width

A = (x+40) *(2x+20)

We can FOIL to find the area

first x*2x = 2x^2

outer x*20 =20x

inner 2x*40 = 80x

last = 40*20 = 800

Add these together

2x^2 +20x+80x+800

2x^2+100x+800

b.  x=5

2x^2 + 100x +800

2(5)^2 +100(5) +80

2*25 +500+800

50+1300

1350 ft^2

a) 2x² + 100x + 800

b) 1,350 ft²

Step-by-step explanation:

Area = length × width

(20 + 2x)(40 + x)

800 + 80x + 20x + 2x²

2x² + 100x + 800

x = 5

2(5)² + 100(5) + 800

1350

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200