Using a table of values, the outputs of f(x) for whole numbers are 0, 1, 4, 9, 16, 25, 36, and so on. For the same input values, g(x) has outputs of 1, 2, 4, 8, 16, 32, and 64. Continuing to double the output each time results in larger outputs than those of f(x). The exponential function, g(x), has a constant multiplicative rate of change and will increase at a faster rate than the quadratic function.
(ed. just click all of them)
Answer:
<em>Option C; 3x - y = -27 and x + 2y = 16</em>
Step-by-step explanation:
1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.
2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.
3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ <em>Answer: Option C</em>
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Answer:
B
Step-by-step explanation:
formula s =4*pi*r^2
s=4(3.14)(3^2)
s = 12.56(9)s= 113.04
Answer:
Part A
Part B
- B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.
Step-by-step explanation:
<u>Given data:</u>
- 299, 281, 285, 269, 280, 269, 286, 287
<h3>Part A</h3>
<u>Find the mean of the data above:</u>
- (299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282
<u>Find absolute deviations, an absolute value of the difference of data and the mean:</u>
- 299 - 282 = 17 ⇒ 17
- 281 - 282 = -1 ⇒ 1
- 285 - 282 = 3 ⇒ 3
- 269 - 282 = -13 ⇒ 13
- 280 - 282 = 2 ⇒ 2
- 269 - 282 = -13 ⇒ 13
- 286 - 282 = 4 ⇒ 4
- 287 - 282 = 5 ⇒ 5
<u>Find mean absolute deviation:</u>
- (17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25
Correct choice is C
<h3>Part B</h3>
Less mean absolute deviation is the sign of more consistent data.
Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25
Correct choice is B.