12 subtracted by 33 divided by 4 equals 3.75
Answer:
-58
Step-by-step explanation:
-7*8 = -56
So -56/8= -7
But we have a +2 there, so do the opposite. So -56-2. is -58.
(-58+2) / 8 = -7
-4.8x3.2 , 4.32/-3 , -2 3/5 - (1 2/5), 2 1/4+(-1 2/5)
So basically if they’re numbered from left to right then it would be 1, 3, 4, 2.
Problem 1 has a solution of -15.36
Problem 2 has a solution of 0.85
Problem 3 has a solution of -1.44
Problem 4 has a solution of -1.2
In order -15.36 would be the least greatest, because it is the farthest from zero. Followed by -1.44, -1.2, and lastly 0.85.
now, that's the equation or polynomial in factored form, hmmm we also know that it has a y-intercept of -11, namely, when x = 0 y = -11, well let's plug in a factor to it, that will reflect those values, namely say hmmm factor "a", so
![(x+4)(x+2)(x-1)=y\qquad \stackrel{\textit{adding "a" factor for vertical shift}}{a(x+4)(x+2)(x-1)}=y \\\\\\ \stackrel{\textit{we know that when x = 0, y = -11}}{a(0+4)(0+2)(0-1)=-11}\implies -8a=-11\implies a=\cfrac{-11}{-8}\implies a = \cfrac{11}{8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\mathbb{FOIL}}{\cfrac{11}{8}(x^2+6x+8)}(x-1)=y\implies \cfrac{11}{8}(x^3+6x^2+8x-x^2-6x-8)=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{11}{8}(x^3+5x^2+2x-8)=y~\hfill](https://tex.z-dn.net/?f=%28x%2B4%29%28x%2B2%29%28x-1%29%3Dy%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Badding%20%22a%22%20factor%20for%20vertical%20shift%7D%7D%7Ba%28x%2B4%29%28x%2B2%29%28x-1%29%7D%3Dy%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bwe%20know%20that%20when%20x%20%3D%200%2C%20y%20%3D%20-11%7D%7D%7Ba%280%2B4%29%280%2B2%29%280-1%29%3D-11%7D%5Cimplies%20-8a%3D-11%5Cimplies%20a%3D%5Ccfrac%7B-11%7D%7B-8%7D%5Cimplies%20a%20%3D%20%5Ccfrac%7B11%7D%7B8%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Cmathbb%7BFOIL%7D%7D%7B%5Ccfrac%7B11%7D%7B8%7D%28x%5E2%2B6x%2B8%29%7D%28x-1%29%3Dy%5Cimplies%20%5Ccfrac%7B11%7D%7B8%7D%28x%5E3%2B6x%5E2%2B8x-x%5E2-6x-8%29%3Dy%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Ccfrac%7B11%7D%7B8%7D%28x%5E3%2B5x%5E2%2B2x-8%29%3Dy~%5Chfill)
