2 5/8 divided by 3
(2*8)+5/8 divided by 3
16+5/8 divided by 3
(3*7/2^3)(1/3)
3*7/2^3*3
7/2^3
7/8
each friend would get 7/8
Step-by-step explanation:
Explanation:
Because
(2,6) is in the function, we can plug
6 as y
and
2 as x.
From that we get
6=a(2−1)2+k
6=a+k
Same for the next point:
12=a(3−1)2+k
12=22a+k
12=4a+k
Now we have this system of equations to solve:
a+k=6
4a+k=12
Solving it leads to the conclusion that
a=2,k=4 .
1. 42 cards
2. 3/5 of his cards
The bigger box will have a volume 2^3 greater than the smaller box. That is 8 times larger.
So number of mugs it can hold is 8*8 = 64 mugs.
To make sure we don't have negatives under the square root, we specify that

(x is greater than or equal to 0). We'll use this fact later on
--------------------------------------------
Start with the given inequality

and square both sides to get

. Couple this with the fact that

means we have this compound inequality

What does this mean? It means that we can pick any value from 0 to 49 (including both endpoints) and it will be a solution to the inequality. This applies to the values
49, 48 and 44Answers: Choice C, Choice D, Choice E