Answer:
0.5 ≥ x ≥ 0.35
Step-by-step explanation:
Answer:
-4.5
Step-by-step explanation:





Answer:
The new price of the bottle is $ 3.14.
Step-by-step explanation:
Given,
Original price of 1-liter bottle of orange juice = $ 2.85,
Since, the new price is 110 percent of the original price.
Thus, the new price of the bottle = 110 % of the $ 2.85



Hence, the new price of the bottle is $ 3.14.
If we graph the given points then they appear to be in the shape of cubic function so we can use standard formula of cubic function which is

Plug the given points to get four equations
like first point (3,6) so plug x=3 and y=6 into above equation, we get:

or
6=27a+9b+3c+d
Same way by plugging other points form table, we get total four equations as follows:
6=27a+9b+3c+d, 11=125a+25b+5c+d, 11=64a+16b+4c+d, 21=343a+49b+7c+d
Now we just need to solve these equations for a, b, c and d.
Solving them to get values of a, b, c and d, we get:

Now plug them into

So the required equation will be:

Hence required equation in function notation can be written as

Now to prove that above function is correct, we just graph the given points from table and the obtained function.
After graphing the given points from table and the obtained function, We see that points lie on the graph of 
Which proves that our equation is correct.
25x + 15y = 265
x+y = 13
Step-by-step explanation:
Step 1:
Given
Number of shirts Leah can iron in an hour = 25 shirts
Number of shirts Christopher can iron in an hour = 15 shirts
Total number of hours worked by both = 13 hours
Total number of shirts ironed by them = 265 shirts
Step 2 :
Let x represent the number of hours Leah works and y represent the number of hours Christopher works
Leah irons 25 shirts in one hour, so in x hours he would iron 25x shirts
Christopher irons 15 shirts in one hour, so in y hours he would iron 15y shirts
Given total shirts ironed by them together is 265 , we have
25x + 15y = 265
They worked a combined of 13 hours, so
x+y = 13
Step 3:
The system of equations that could be used to determine the number of hours Leah worked and the number of hours Christopher worked are ,
25x + 15y = 265
x+y = 13