<em>Answer</em><em> </em><em>with</em><em> </em><em>explanation</em><em>:</em>
The Given Inequality is
|x-4|<9
Modulus of a number yields always a positive value.
→|x-4|= x-4, when, x-4≥0
That is , x≥4.
= -(x-4), when, x-4<0
means, x<4.
it can be Written as
→ -9<x-4<9
→ -9+4 < x -4+4 < 9+4
→ -5<x<13
→x∈(-5,13)
♡ <em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>♡</em>
Answer:
If I understood this properly then I believe the answer is that the red hexagon is decreased by 4 which makes it become the blue hexagon.
Step-by-step explanation:
Solution :- Let p(x) be the polynomial such that
![p(x) = x(4x-10)^3\\\text{and let f(x) be another polynomial such that }\\f(x)=4x-10\\\text{To find , Put } f(x)=0\\\Rightarrow4x-10=0\\\Rightarrow4x=10\\\Rightarrow x=5/2\\\text{Now substituting value of x in p(x),we get}\\p(x)=\frac{5}{2} .(4(5/2)-10)^3\\\Rightarrow\frac{5}{2}.(10-10)^3=0\\\text{Similarly let g(x)=x ,we get x=0 by putting g(x)=0}\\\text{now f(x)=0 for x=0}\\\text{So by Factor theorem f(x) and g(x) are the factors of polynomial p(x)}\\](https://tex.z-dn.net/?f=p%28x%29%20%3D%20x%284x-10%29%5E3%5C%5C%5Ctext%7Band%20let%20f%28x%29%20be%20another%20polynomial%20such%20that%20%7D%5C%5Cf%28x%29%3D4x-10%5C%5C%5Ctext%7BTo%20find%20%2C%20Put%20%7D%20f%28x%29%3D0%5C%5C%5CRightarrow4x-10%3D0%5C%5C%5CRightarrow4x%3D10%5C%5C%5CRightarrow%20x%3D5%2F2%5C%5C%5Ctext%7BNow%20substituting%20value%20of%20x%20in%20p%28x%29%2Cwe%20get%7D%5C%5Cp%28x%29%3D%5Cfrac%7B5%7D%7B2%7D%20.%284%285%2F2%29-10%29%5E3%5C%5C%5CRightarrow%5Cfrac%7B5%7D%7B2%7D.%2810-10%29%5E3%3D0%5C%5C%5Ctext%7BSimilarly%20let%20g%28x%29%3Dx%20%2Cwe%20get%20x%3D0%20by%20putting%20g%28x%29%3D0%7D%5C%5C%5Ctext%7Bnow%20f%28x%29%3D0%20for%20x%3D0%7D%5C%5C%5Ctext%7BSo%20by%20Factor%20theorem%20f%28x%29%20and%20g%28x%29%20are%20the%20factors%20of%20polynomial%20p%28x%29%7D%5C%5C)
![\text{Now} p(x) = x(4x-10)^3\\=64x^4-480x^3+1200x^2-1000x\\\text{so the terms of terms of } p(x) \text{are} 64x^4,-480x^3,1200x^2,-1000x\\\text{here, by using Factor theorem x is a factor of all the terms but 4x-10 is not. }](https://tex.z-dn.net/?f=%5Ctext%7BNow%7D%20p%28x%29%20%3D%20x%284x-10%29%5E3%5C%5C%3D64x%5E4-480x%5E3%2B1200x%5E2-1000x%5C%5C%5Ctext%7Bso%20the%20terms%20of%20terms%20of%20%7D%20p%28x%29%20%5Ctext%7Bare%7D%2064x%5E4%2C-480x%5E3%2C1200x%5E2%2C-1000x%5C%5C%5Ctext%7Bhere%2C%20by%20using%20Factor%20theorem%20x%20is%20a%20factor%20of%20all%20the%20terms%20but%204x-10%20is%20not.%20%7D)
![\text{And the terms of the factor 4x-10 are 4x and -10}](https://tex.z-dn.net/?f=%5Ctext%7BAnd%20the%20terms%20of%20the%20factor%204x-10%20are%204x%20and%20-10%7D)
477
The value of the first 7 from the left is 70.
If you divide 70 by 10, you get the value of the second seven, 7.
Another way to know this is equivalent fractions:
1/10 = 7/10
10 X 7 = 70
1 X 7 = 7
Answer: Note that the ADS and GDS recovery period for cars, light trucks, an computers are the same, 5 years.
Step-by-step explanation: