For an instance, n is the smallest number, then the other number will be (n + 1), (n + 2), (n + 3)
Write an equation based on the problem
the sum of the numbers = 290
n + n + 1 + n + 2 + n + 3 = 290
4n + 6 = 290
<em>This is the equation</em>
Solve the equation
4n + 6 = 290
4n = 290 - 6
4n = 284
n = 284/4
n = 71
The smallest number is 71
Find the other three numbers
n + 1 = 71 + 1 = 72
n + 2 = 71 + 2 = 73
n + 3 = 71 + 3 = 74
The other numbers area 72,73,74
Answer:
Choice 2.
Step-by-step explanation:
And irrational number is a number that never ends (or keeps repeating random decimals forever)
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.

Because the line is already written in slope-intercept form, we can find the slope and y-intercept just by looking at it.
<u>The slope is 6.</u>
<u>The y-intercept is -12.</u>