Answer:
A
Step-by-step explanation:
x² + 10x + 24 = 0
Here, a = 1, b = 10, c = 24. Factoring using the AC method:
ac = 1×24 = 24
Factors of 24 that add up to 10 are +4 and +6.
Therefore:
(x + 4) (x + 6) = 0
x + 4 = 0, x + 6 = 0
x = -4, x = -6
The roots are -4 and -6. Added together:
-4 + -6 = -10
Answer A.
let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
The quantity remaining will be
.. 448*(1/2)^(24/6) = 448/16 = 28 . . . . grams
It doesn’t include the number it just stops there
Answer:
c
Step-by-step explanation:
-6q+4q=2q and 7-2=5 so 2q+5
