Natalia wants to put a decorative edge around her flower bed. She already has 4 feet of edging, but she needs enough to edge 95 feet. The edging material comes in rolls 7 feet long. Write and solve an inequality to find the number of rolls Natalia needs?

91 ft ≤ (7 ft)n   or   n ≤ 13

Step-by-step explanation:

total amount of edging is

e(n) ≤ 4 ft + (7 ft)n  

This inequality relates the total length of edging to the number of 7 ft rolls needed.

If Natalia needs 95 ft of edging, we write e(n) ≤ 4 ft + (7 ft)n  as

95 ft ≤ 4 ft + (7 ft)n

which simplifies to

91 ft ≤ (7 ft)n   or   n ≤ 13

Natalia must purchase 13 rolls.  This, combined with the initial 4 ft of edging, will be just the right amount of edging to complete the job.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph