Answer: 8.75t = c
Step-by-step explanation: 52.5/6 = 8.75 so 8.75$ per ticket.
-15/2 is the answer, Hope this helps;)
Answer:
For ![x \in\mathbb{C}](https://tex.z-dn.net/?f=x%20%5Cin%5Cmathbb%7BC%7D)
![x = -2i](https://tex.z-dn.net/?f=x%20%3D%20-2i)
![x = 2i](https://tex.z-dn.net/?f=x%20%3D%202i)
![x = 7](https://tex.z-dn.net/?f=x%20%3D%207)
Step-by-step explanation:
![f(x)=x^3-7x^2+4x-28](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3-7x%5E2%2B4x-28)
For ![f(x) = 0](https://tex.z-dn.net/?f=f%28x%29%20%3D%200)
![x^3-7x^2+4x-28 = 0](https://tex.z-dn.net/?f=x%5E3-7x%5E2%2B4x-28%20%3D%200)
We can easily factor the expression
by grouping.
![x^3-7x^2+4x-28 = (x^3-7x^2)+(4x-28) = x^2(x-7)+4(x-7) = \boxed{(x^2+4)(x-7) }](https://tex.z-dn.net/?f=x%5E3-7x%5E2%2B4x-28%20%3D%20%28x%5E3-7x%5E2%29%2B%284x-28%29%20%3D%20x%5E2%28x-7%29%2B4%28x-7%29%20%3D%20%5Cboxed%7B%28x%5E2%2B4%29%28x-7%29%20%7D)
Now we have
![(x^2+4)(x-7) = 0](https://tex.z-dn.net/?f=%28x%5E2%2B4%29%28x-7%29%20%3D%200)
Therefore,
![x^2+4 = 0 \text{ or } x-7 = 0](https://tex.z-dn.net/?f=x%5E2%2B4%20%3D%200%20%5Ctext%7B%20or%20%7D%20x-7%20%3D%200)
So,
![x^2 = -4 \implies x = \pm\sqrt{-4}](https://tex.z-dn.net/?f=x%5E2%20%3D%20-4%20%5Cimplies%20x%20%3D%20%5Cpm%5Csqrt%7B-4%7D)
Once ![\sqrt{-1} = i](https://tex.z-dn.net/?f=%5Csqrt%7B-1%7D%20%3D%20i)
![x = \pm\sqrt{-4} = \pm\sqrt{4}\sqrt{-1} = \pm 2i](https://tex.z-dn.net/?f=x%20%3D%20%5Cpm%5Csqrt%7B-4%7D%20%3D%20%20%5Cpm%5Csqrt%7B4%7D%5Csqrt%7B-1%7D%20%3D%20%5Cpm%202i)
My "work" is to enter the equations into a graphing calculator and let it show me the answers--just as your "work" is to copy the question to Brainly.
The solutions are
(x, y) = (-0.5, 7.5)
(x, y) = (3, 25)
_____
When you equate the expressions for y, you get the quadratic
2x² -5x -3 = 0
(2x +1)(x -3) = 0
x = -1/2 or 3
y = 5(x +2) = 15/2 or 25
Answer: The answer is B: 6
Step-by-step explanation:
3 times the square root of 36 is 18.
18 divided by the square root of 9 is equal to 6.