Answer:
The soccer league can buy 105 soccer balls.
Step-by-step explanation:
I did $630 divided by $6 and got 105! :)
When values of a quadratic function are listed in a table with x-values having a constant difference, the y-vlaues will have a constant (non-zero) second-difference.
Here, we can list first and second differences for the values in the given tables to identify the quadratic function.
Table 1.
- 1st differences: 3, 3, 3, 3
- 2nd differences: 0, 0, 0, 0 . . . . this is a linear function
Table 2.
- 1st differences: -6, -2, 2, 6
- 2nd differences: 4, 4, 4 . . . . this is a quadratic function
Table 3.
- 1st differences: 5, -8, -3, -3
- 2nd differences: -13, 5, 0 . . . . can be described by a 4th degree polynomial
Table 4.
- 1st differences: 3, 0, -3, -3
- 2nd differences: -3, -3, 0 . . . . can be described by a 4th degree polynomial
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The appropriate choice is Table 2.
Twice x = 2x so the entire statement is
2x = 5
Idk but I think my homies know this
<h3>
Answer: 5/48</h3>
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Work Shown:
We'll divide the total 5/8 evenly among the 6 cousins.
(5/8) ÷ 6 = (5/8) ÷ (6/1)
(5/8) ÷ 6 = (5/8) * (1/6)
(5/8) ÷ 6 = (5*1)/(8*6)
(5/8) ÷ 6 = 5/48
Each cousin gets 5/48 of the aunt's assets.
So for instance, if the aunt had $48,000 in assets, then each cousin gets (5/48)*(48,000) = 5000 dollars.
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An alternative approach:
Draw 6 rectangles side by side that represent the 6 cousins. Then divide each rectangle into 8 pieces, with 5 pieces shaded. The yellow pieces represent the amount given to the cousins. For any given rectangle, 5/8 of it is shaded yellow. Refer to the diagram below.
Overall we have 6*8 = 48 pieces.
The first cousin gets 5 yellow pieces out of 48 total. The same applies to the other five cousins. So this is a visual way to arrive at the answer 5/48.