Answer:
2nd term = 11
5th term = 74
Step-by-step explanation:
3n² - 1
n = 2 , 2nd term = 3*2² - 1
= 3*4 -1
= 12 - 1
= 11
n= 5 , 5th term = 3*5² - 1
= 3*25 - 1
= 75 - 1
= 74
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3
Second part: when (6x + 2) is negative.
-(6x + 2) < 10 Divide both sides of inequality by -1 and change the sign.
(6x + 2) > -10
6x + 2 > -10
6x > -10 - 2
6x > -12 Divide both sides by 6.
x > -12/6
x > -2.
Combined solution: x < 4/3 and x > -2
-2 < x < 4/3.
Graph is a line on the number line between -2 and 4/3.
-2 and 4/3 are excluded from solution.
(a)The amount of soil he had last week
(b) p/2+4=28
(c) 12 because
(d) 12
The point-slope form:
![y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (1, 2) and (3, 6). Substitute:
![m=\dfrac{6-2}{3-1}=\dfrac{4}{2}=2\\\\\boxed{y-2=2(x-1)}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B6-2%7D%7B3-1%7D%3D%5Cdfrac%7B4%7D%7B2%7D%3D2%5C%5C%5C%5C%5Cboxed%7By-2%3D2%28x-1%29%7D)