Emma recently purchased a new car. She k business trips. The results are shown in the table below. decided to keep track of how many gallons of gas she used on five of her 1. Number of Miles Driven Gallons Used 150 200 400 600 1000 10 19 29 51 Write the linear regression equation for these data where miles driven is the independent variable. (Round all values to the nearest hundredth.) 2. The table below shows the number of grams of earbohydrates, x, and the number of Calories, y, of six different foods. Carbohydrates () Calories () 120 138 147 9.5 10 6 108 62 Which equation best represents the line of best fit for this set of data? 1) У-15х У-0.17-04 y-14.1x+5.8 3) 4) 2) у" 0.07x ow shows the median diameter of grains of sand and the slope of the beach for 9 naturally occurring ocean beaches. Median Diameter of 0.17 0.19 0.22 0.235 0.235 0.3 0.3 0.35 0.42 0.85 Grains of Sand in Millimeters (3) Slope of Beach 0.63 in Degrees (y) 0.7 0.82088 1 1.15 1.54.4 7.3 11.3 Write the linear regression equation for this set of data, ro at a degree, on a Using this equation, predict the slope of a beach, to the nearest tenth of a degree median diameter of 0.65 mm. on a beach with grains of sand having a
A 5% discount indicates that her total purchase amount will be decreased by 5%. Paying full price could be shown as 1.00, so we must subtract 0.05 from the full price to represent the discounted total (1.00-0.05 = 0.95).
Only one choice, D, contains this multiplier so we can be certain of this answer.
Answer:
Step-by-step explanation:So, if the graph is a straight line, it is the graph of a linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change for y with respect to x remains constant for a linear function. This rate of change is called the slope.Mar 9, 2011
Thet contradict each other, that's why both of them are incorrect.
<span>Suppose that a polynomial has four roots: s, t, u, and v. If the polynomial were evaluated at any of these values, it would have to be zero. Therefore, the polynomial can be written in this form.
p(x)(x - s)(x - t)(x - u)(x - v), where p(x) is some non-zero polynomial
This polynomial has a degree of at least 4. It therefore cannot be cubic.
Now prove Kelsey correct. We have already proved that there can be no more than three roots. To prove that a cubic polynomial with three roots is possible, all we have to do is offer a single example of that. This one will do.
(x - 1)(x - 2)(x - 3)
This is a cubic polynomial with three roots, and four or more roots are not possible for a cubic polynomial. Kelsey is correct.
Incidentally, if this is a roller coaster we are discussing, then a cubic polynomial is not such a good idea, either for a vertical curve or a horizontal curve. I hope this helps</span><span>
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