Step-by-step explanation:
![9x^{2} - 9 (a + b)x + 2a^{2} + 5ab + 2b^{2} = 0\\9x^{2} - 3[(3a + 3b)]x + 2a^{2} + 4ab +ab + 2b^{2} = 0\\9x^{2} - 3[(a + 2b) + (2a + b)]x + 2a[a + 2b] + b [a + 2b] = 0\\9x^{2} - 3(a + 2b)x - 3 (2a + b) + (a + 2b)(2a + b) = 0\\3x [3x - (a + 2b)] -(2a + b)[3x - (a + 2b)]=0\\\:\: [3x - (a + 2b)] - [3x - (2a + b)] = 0\\\\\\\\\circ\:3x - (2a + b) = 0\\\boxed{\underline{x = \frac{2a + b}{3} }}\\\\\\\\\circ\:3x - (2a + b) = 0\\\boxed{\underline{x = \frac{a + 2b}{3} }}](https://tex.z-dn.net/?f=9x%5E%7B2%7D%20-%209%20%28a%20%2B%20b%29x%20%2B%202a%5E%7B2%7D%20%2B%205ab%20%2B%202b%5E%7B2%7D%20%3D%200%5C%5C9x%5E%7B2%7D%20-%203%5B%283a%20%2B%203b%29%5Dx%20%2B%202a%5E%7B2%7D%20%2B%204ab%20%2Bab%20%2B%202b%5E%7B2%7D%20%3D%200%5C%5C9x%5E%7B2%7D%20-%203%5B%28a%20%2B%202b%29%20%2B%20%282a%20%2B%20b%29%5Dx%20%2B%202a%5Ba%20%2B%202b%5D%20%2B%20b%20%5Ba%20%2B%202b%5D%20%3D%200%5C%5C9x%5E%7B2%7D%20-%203%28a%20%2B%202b%29x%20-%203%20%282a%20%2B%20b%29%20%20%2B%20%28a%20%2B%202b%29%282a%20%2B%20b%29%20%3D%200%5C%5C3x%20%5B3x%20-%20%28a%20%2B%202b%29%5D%20-%282a%20%2B%20b%29%5B3x%20-%20%28a%20%2B%202b%29%5D%3D0%5C%5C%5C%3A%5C%3A%20%5B3x%20-%20%28a%20%2B%202b%29%5D%20-%20%5B3x%20-%20%282a%20%2B%20b%29%5D%20%3D%200%5C%5C%5C%5C%5C%5C%5C%5C%5Ccirc%5C%3A3x%20-%20%282a%20%2B%20b%29%20%3D%200%5C%5C%5Cboxed%7B%5Cunderline%7Bx%20%3D%20%5Cfrac%7B2a%20%2B%20b%7D%7B3%7D%20%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ccirc%5C%3A3x%20-%20%282a%20%2B%20b%29%20%3D%200%5C%5C%5Cboxed%7B%5Cunderline%7Bx%20%3D%20%5Cfrac%7Ba%20%2B%202b%7D%7B3%7D%20%7D%7D)
So, the roots are:
<u>1) x = 2a + b/3</u>
<u>2) x = a + 2b/3</u>
_________
Hope it helps!
◇ Please refer to the attachment if the latex code shows some error.
Answer:
Store A has a better deal because $402.90 is less than $404.10.
Step-by-step explanation:
<u>Store A</u>
The $25 off coupon reduces the price to ...
$499 - 25 = $474
The discount from this amount is 15%, so is ...
$474 × 0.15 = $71.10
The final amount paid is then ...
$474.00 -71.10 = $402.90
(<em>Side note</em>: you can select the correct answer at this point, because only one answer shows this value.)
___
<u>Store B</u>
After the $20 off coupon, the price is ...
$469 -20 = $449
The additional 10% discount amounts to ...
$449 × 0.10 = $44.90
So, the final price is ...
$449.00 -44.90 = $404.10
___
Now, you know that Store A offers the better price because $402.90 is less than $404.10.
Answer:
Step-by-step explanation:
Day 1 = 2 birds
day 2 = 3 birds
day 3 = 9 birds
day 4 = 8 birds
day 5 = 1 bird
On day 1 the points are (1,2)
On day 5 the points are (5,1)
(I am picking these for the points because I don't know your options for the selecting area.)
we use this formula y2-y1/x2-x1
2-5/1-1
3/0
our answer is infinite which is the relation and this is an infinite function
Answer:
A and C the other two are just stand alone numbers. so the answers are A and C
Answer:
The diameter would be 16
Step-by-step explanation:
The area of a circle is a=
×π. Now just plug in the values you have which is you area. 201=×π now divide by pi on both sides you that you get about 64=. Now find the square root on both sides which will then give you 8 as your radius. To find diameter from radius you have to multiply by 2. 8*2=16
