20y+30x=1000 divide 20 on each side to st the y alone.
y+30x=50 next put it in slope intercept form
y=30x+50 I don't know if this was te answer you were looking for but I hope it is
Answer: You can't expect everybody to do your work for you. I thought It was 1 question and that's a whole packet. At least look it up on the internet or go ask your parents/siblings. Im not tryna be rude but If I could help you, I would but there are too many questions. Sorry.
Step-by-step explanation:
Consider the function
First, factor it:
![G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).](https://tex.z-dn.net/?f=G%28x%29%20%3D%20-2x%5E3%20-%2015x%5E2%20%2B%2036x%3D-x%282x%5E2%2B15x-36%29%3D%5C%5C%20%5C%5C%3D-x%5Ccdot%202%5Ccdot%20%5Cleft%28x-%5Cdfrac%7B-15-%5Csqrt%7B513%7D%7D%7B4%7D%5Cright%29%5Ccdot%20%5Cleft%28x-%5Cdfrac%7B-15%2B%5Csqrt%7B513%7D%7D%7B4%7D%5Cright%29.)
The x-intercepts are at points ![\left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B-15-%5Csqrt%7B513%7D%20%7D%7B4%7D%2C0%5Cright%29%2C%5C%20%280%2C0%29%2C%5C%20%5Cleft%28%5Cdfrac%7B-15%2B%5Csqrt%7B513%7D%20%7D%7B4%7D%2C0%5Cright%29.)
1. From the attached graph you can see that
- function is positive for
![x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);](https://tex.z-dn.net/?f=x%5Cin%20%5Cleft%28-%5Cinfrty%2C%20%5Cdfrac%7B-15-%5Csqrt%7B513%7D%20%7D%7B4%7D%5Cright%29%5Ccup%20%5Cleft%280%2C%5Cdfrac%7B-15%2B%5Csqrt%7B513%7D%20%7D%7B4%7D%5Cright%29%3B)
- function is negative for
![x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).](https://tex.z-dn.net/?f=x%5Cin%20%5Cleft%28%5Cdfrac%7B-15-%5Csqrt%7B513%7D%20%7D%7B4%7D%2C0%5Cright%29%5Ccup%20%5Cleft%28%5Cdfrac%7B-15%2B%5Csqrt%7B513%7D%20%7D%7B4%7D%2C%5Cinfty%5Cright%29.)
2. Since
the function is neither even nor odd.
3. The domain is
the range is
Answer:
33 plz braniest i think i help you
Step-by-step explanation:
Answer:
![f(x)=x^4-9x^2-50x-150](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E4-9x%5E2-50x-150)
Step-by-step explanation:
Let f(x) be the polynomial function of minimum degree with real coefficients whose zeros are 5, -3, and -1 + 3i be f(x).
By the complex conjugate property of polynomials, -1-3i is also a root of this polynomial.
Therefore the polynomial in factored form is ![f(x)=(x-5)(x+3)(x-(-1+3i))(x-(-1+3i))](https://tex.z-dn.net/?f=f%28x%29%3D%28x-5%29%28x%2B3%29%28x-%28-1%2B3i%29%29%28x-%28-1%2B3i%29%29)
We expand to get:![f(x)=(x^2-2x-15)(x^2+2x+10)](https://tex.z-dn.net/?f=f%28x%29%3D%28x%5E2-2x-15%29%28x%5E2%2B2x%2B10%29)
We expand further to get:\
![f(x)=x^4-9x^2-50x-150](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E4-9x%5E2-50x-150)