Answer:
56$
Step-by-step explanation:
40% of 20 = 8 - 20 = 12 times 3 = 36+20=56
Answer:
A
Step-by-step explanation:
It's A because 7*12 is 84, and 5*7 is 35. B, C, and D, all have answers above 500 so logically A is the answer because it is closest to 7*12.
Answer:
Step-by-step explanation:
Batman
We can factor a polynomial by finding its roots. In particular, a quadratic equation has (at most) two roots
, which would allow us to write the polynomial as
![p(x)=a(x-x_1)(x-x_2)](https://tex.z-dn.net/?f=p%28x%29%3Da%28x-x_1%29%28x-x_2%29)
To find the solutions, we can use the quadratic formula
![x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} = \dfrac{-5\pm\sqrt{169}}{4} = \dfrac{-5\pm13}{4}](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%20%3D%20%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%3D%20%5Cdfrac%7B-5%5Cpm%5Csqrt%7B169%7D%7D%7B4%7D%20%3D%20%5Cdfrac%7B-5%5Cpm13%7D%7B4%7D)
So, the two solutions are
![\dfrac{-5+13}{4} = 2\quad\text{and}\quad\dfrac{-5-13}{4} =-\dfrac{9}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B-5%2B13%7D%7B4%7D%20%3D%202%5Cquad%5Ctext%7Band%7D%5Cquad%5Cdfrac%7B-5-13%7D%7B4%7D%20%3D-%5Cdfrac%7B9%7D%7B2%7D)
And so we can factor the polynomial as follows:
![2x^2+5x-18=2(x-2)\left(x+\dfrac{9}{2}\right)](https://tex.z-dn.net/?f=2x%5E2%2B5x-18%3D2%28x-2%29%5Cleft%28x%2B%5Cdfrac%7B9%7D%7B2%7D%5Cright%29)