Gary can hike on level ground 3 miles per hour faster than he can on uphill terrain. Yesterday, Gary hiked 10.25 miles, spending 3 hours on level ground and 2 hours on uphill terrain. What is Gary's average hiking speed on level ground

13.14

Step-by-step explanation:

2s + 5(s-3) = 31

2s + 5s - 15 = 31

7s = 31 + 15

7s = 46

s = 46/7

s ~ 6.57 mph on level ground

Check this by finding the distances

2(6.57) = 13.14 mi

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

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.