Answer:
see below
Step-by-step explanation:
x⁵ - 8x⁴ + 22x³ - 26x² + 21x - 18 = 0
x = 2, x = ± i, x=3 with multiplicity 2
-----------------------------------------------------
x⁴ - 5x³ + 7x² - 5x + 6 = 0
x = 2, x=3, x = ± i
--------------------------------------------------------
<u>-1 + 4i</u> = 4 + i
i
--------------------------------------------------------
x³ - 26x² + 21x - 18 = 0
x = ± 2i, x = 3/2
--------------------------------------------------------
(1 + i) (-3 - 4i)
= 1 - 7i
--------------------------------------------------------
6.
(-5 + 2i) + (3 - 6i)
= -2 -4i
--------------------------------------------------------
7.
x⁴ + 5x² + 4 = 0
x = ± i , x = ± 2i
--------------------------------------------------------
8.
(7 - i) - (-5 + 6i)
= 12 - 7i
--------------------------------------------------------
9.
(4 - i) (4 + i)
= 17
--------------------------------------------------------
10.
(3 + 8i) (4 - 3i)
= 36 + 23i
Answer:
The awnser should be 5% increase or D
Step-by-step explanation:
This should be the awnser because we know that 15 to 19 is a increase. And next 25% increase is way too much, so 5% should be it.
The table is missing in the question. The table is attached below.
Solution :
Let X = appraised value
Y = area (square feet)
The regression line is given by :
![$\hat y = b_0+b_1X$](https://tex.z-dn.net/?f=%24%5Chat%20y%20%3D%20b_0%2Bb_1X%24)
![$b_1=\frac{n\sum XY-\sum X \sum Y}{n \sum X^2-(\sum X)^2}$](https://tex.z-dn.net/?f=%24b_1%3D%5Cfrac%7Bn%5Csum%20XY-%5Csum%20X%20%5Csum%20Y%7D%7Bn%20%5Csum%20X%5E2-%28%5Csum%20X%29%5E2%7D%24)
![$=\frac{15(5964990)-(2157)(33370)}{15(404799)-(2157)^2}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B15%285964990%29-%282157%29%2833370%29%7D%7B15%28404799%29-%282157%29%5E2%7D%24)
![$=12.3267$](https://tex.z-dn.net/?f=%24%3D12.3267%24)
![$b_0=\frac{\sum Y}{n}-b_1\frac{\sum X}{n}$](https://tex.z-dn.net/?f=%24b_0%3D%5Cfrac%7B%5Csum%20Y%7D%7Bn%7D-b_1%5Cfrac%7B%5Csum%20X%7D%7Bn%7D%24)
![$=\frac{33370}{15}-\left(12.3267 \times \frac{2157}{15}\right)$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B33370%7D%7B15%7D-%5Cleft%2812.3267%20%5Ctimes%20%5Cfrac%7B2157%7D%7B15%7D%5Cright%29%24)
![$b_0=452.0841$](https://tex.z-dn.net/?f=%24b_0%3D452.0841%24)
The regression line is :
![$\hat Y = 452.0841+12.3267 X$](https://tex.z-dn.net/?f=%24%5Chat%20Y%20%3D%20452.0841%2B12.3267%20X%24)
To estimate the error variance, we have:
Error variance, ![$\sigma =\sqrt{\frac{\sum (Y-\hat Y)^2}n-2{}}$](https://tex.z-dn.net/?f=%24%5Csigma%20%3D%5Csqrt%7B%5Cfrac%7B%5Csum%20%28Y-%5Chat%20Y%29%5E2%7Dn-2%7B%7D%7D%24)
![$=\sqrt{\frac{587682.3}{15-2}}$](https://tex.z-dn.net/?f=%24%3D%5Csqrt%7B%5Cfrac%7B587682.3%7D%7B15-2%7D%7D%24)
![$=212.6178$](https://tex.z-dn.net/?f=%24%3D212.6178%24)
Since L1//L2 , angle 1 = angle 5