Answer:
4
Step-by-step explanation:
Hardest problem ive ever had to solve. took me awhile.
Answer:
x=3/2, x=-4
Step-by-step explanation:
2x^2 + 5x - 12
First lets see if we can factor this
(2x ) ( x )
-12 = -1*12 1*-12
- 2*6 2 * -12
- 3*4 3 * -4
2 * one of these pairs - the other pair = +5
2*4 -3 = 5
Put the -3 in the first spot and the 4 in the second spot
(2x-3) ( x+4)
Using the zero product property
2x-3 =0 x+4=0
2x=3 x=-4
x = 3/2
X- intercept(-5,0)(1,0)
Y- intercept(0,-5)
Mean = np = 60(0.7) = 42
Standard deviation = sqrt(npq) = sqrt(60(0.7)(0.3)) = 3.55
Multiply the numbers (2*2=4)
![=\frac{-7+\sqrt{7^2-4\cdot \:2\left(-5\right)}}{2\cdot \:2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-7%2B%5Csqrt%7B7%5E2-4%5Ccdot%20%5C%3A2%5Cleft%28-5%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A2%7D)
Apply the rule
![\sqrt{7^2+2\cdot \:4\cdot \:5}](https://tex.z-dn.net/?f=%5Csqrt%7B7%5E2%2B2%5Ccdot%20%5C%3A4%5Ccdot%20%5C%3A5%7D)
7^2 =49
![=\sqrt{49+2\cdot \:4\cdot \:5}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B49%2B2%5Ccdot%20%5C%3A4%5Ccdot%20%5C%3A5%7D)
Multiply
![\sqrt{49+40}](https://tex.z-dn.net/?f=%5Csqrt%7B49%2B40%7D)
Add
![\sqrt{89}](https://tex.z-dn.net/?f=%5Csqrt%7B89%7D)
![=\frac{-7-\sqrt{89}}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-7-%5Csqrt%7B89%7D%7D%7B4%7D)
Final solution: