Janice is building a fence around a portion of her rectangular yard. the length of yard she will enclose is x, and the width is 2x^2-98x+5, where the measurements are in feet. if the length of the enclosed yard is 50 feet and the cost of fencing is $13 per foot, how much will janice need to spend on fencing?

We are given

length of rectangular yard is x

so,

width of rectangular yard is

so,

We are given

the length of the enclosed yard is 50 feet

so, we get

now, we can plug x=50 and then we can find width

now, we can find total fencing length

so, total fencing length is

now, we can plug values

now, we are given

the cost of fencing is $13 per foot

so,

total cost = (cost of fencing)*(total fencing length)

we can plug values

So, Janice will spend $4030.........Answer

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.