Answer:
2 real roots
Step-by-step explanation:
If the discriminant is any positive number, that means the quadratic will have 2 real roots, or solutions.
Since the discriminant, 36, is a positive number, this will apply.
So, if the discriminant is 36, there will be 2 real roots.
We know that the bottle of soft drink has a remaining
volume which is 2 / 3 of the original.
Since Jack drank 1 / 4 of the remaining volume, hence only
3 / 4 now finally remains, the total is:
(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2
<span>Hence the bottle is now one half full</span>
4.024
Four and twenty four hundredths
Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>
Answer:
12 and 12.5
Step-by-step explanation: