Me on this one question! (10th grade level)  katie is buying souvenir gifts for her big family back home. she wants to buy everyone either a key chain or a magnet. the magnets are on sale for 50 cents each and the key chains cost $1 each. she must purchase at least 24 gifts but has to spend less than $20. let x represent the number of magnets and y represent the number of key chains. a. model the scenario with a system of inequalities. b. graph the system of inequalities and choose an appropriate solution for the scenario. use complete sentences to prove why the solution is appropriate.

 Let x represent the number of magnets and y represent the number of key chains.

She must purchase at least 24 gifts but has to spend less than $20.

x + y >= 24

0.5x + y < 20

An appropriate solution is x=20 and y=5.  They satisfy both inequalities:

x + y = 25 so it is more than 24.

0.5x + y = 15 so it is less than 20.

congruent segments

step-by-step explanation:

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.