4x³ - 6x² + 10x - 15
2x²(2x) - 2x²(3) + 5(2x) - 5(3)
2x²(2x - 3) + 5(2x - 3)
(2x² + 5)(2x - 3)
The answer is B.
Answer:
D) 1,036,800 boxes
Step-by-step explanation:
The volume of a box is ...
(20 in)(18 in)(15 in) = 5400 in^3
The volume of the storage space is ...
(300 ft)(240 ft)(45 ft) = 3,240,000 ft^3
Then the number of boxes that will fit in the storage space is ...
(3240000 ft^3)(1728 in^3/ft^3)/(5400 in^3/box) = 1,036,800 boxes
After plotting the data from the table, with the number of times sick per year as a function of the number of apples eaten per week, I can conclude that there is no definite correlation between the two variables. This is because the data points do not have a good fit with any trend, meaning the R-squared value is low. Thus, the number of apples eaten per week has no significant effect on the number of times the people listed get sick per year.
9514 1404 393
Answer:
Step-by-step explanation:
When the 12-cup bag of sugar is divided evenly, each baker gets 6 cups.
There is no dot on Noah"s graph for 6 cups of sugar, so you have to extrapolate the given set of dots to see where it might be. You notice that each dot is 1/2 cup of flour more than the one to its left, so you expect that Noah will use 3 cups of flour for 6 cups of sugar.
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Similarly, the table for Lin does not have an entry for 6 cups of sugar. Again, the next entry can be figured using the relations between previous entries. Here, each row for sugar goes up by 1 1/2 cups, so the next row would be 4 1/2 + 1 1/2 = 6 cups. And the rows for flour go up by 1 cup, so the next row for flour (for 6 cups of sugar) would be 4 cups of flour.
Lin will use 4 cups of flour for 6 cups of sugar.
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<em>Alternate solution</em>
The relationship are proportional in both cases, so you can read the value for a smaller amount (2 cups or 3 cups of sugar), then multiply the value by an appropriate multiplier (3 or 2) to get the number of cups of flour for 6 cups of sugar.
Noah: 1 flour for 2 sugar ⇒ 3 flour for 6 sugar
Lin: 2 flour for 3 sugar ⇒ 4 flour for 6 sugar
