A quadratic equation has either two different real roots, one real root, or two conjugate complex roots (this is the case when the discriminant is negative, i.e. when you have no real roots).
Two conjugate complex roots have the same real part and opposite imaginary parts. So, the solutions to Amina's equation will be in this form:
![a+bi,\ \ a-bi](https://tex.z-dn.net/?f=%20a%2Bbi%2C%5C%20%5C%20a-bi%20)
For some ![a,b\in\mathbb{R},\ b\neq 0](https://tex.z-dn.net/?f=%20a%2Cb%5Cin%5Cmathbb%7BR%7D%2C%5C%20b%5Cneq%200%20)
Answer:
A) The graph of f(x) = x2 is made narrower.
Step-by-step explanation:
The transformed graph has equation:
![g(x) = - 3 {x}^{2} - 36x - 60](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20-%203%20%7Bx%7D%5E%7B2%7D%20%20-%2036x%20-%2060)
To see the transformations clearly, we need to rewrite the function in the vertex form:
![g(x) = - 3( {x}^{2} + 12x) - 60](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20-%203%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%2012x%29%20-%2060)
![g(x) = - 3( {x}^{2} + 12x + 36) - 60 + 3 \times 36](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20-%203%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2036%29%20-%2060%20%20%2B%203%20%5Ctimes%2036)
![g(x) = - 3( {x} + 6)^{2} + 48](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20-%203%28%20%7Bx%7D%20%2B%206%29%5E%7B2%7D%20%20%20%2B%2048)
Therefore, the graph of the original function is made narrow of the multplier, 3.
The correct answer is A
Click on it this might help it kinda help me
Answer: To add to the confusion, a lot of ladders aren't labeled properly. When recently shopping, I discovered that the advertised height on the ladders I was looking at was about 20% less than the actual practical height of the ladder. Beware the small print!
Also, no matter how safe you are, note that 24' is a LOT higher from above than below. :) I recently cleaned the gutters on the 3 storey side of my house. Never again.
Step-by-step explanation:Why would you BUY a ladder you will use but once? Go rent, even contractors rent ladders. The rental companies make sure their equipment is safe. They will advise you because your success means less insurance costs. I have a problem with a homeowner climbing this high, not experienced and without protection/harnesses. You need to rent a fire truck? They also rent boom trucks but one has to prove competence. Whatever you are trying to DIY there are limits and this is definitely one I would have insisted you get a professional. I doubt that your home owner's would cover a fall.
Let, the number be "x"
Now,
according to the question,
4x -8 = x -23....................This is your equation.
Now solving it,
4x - 8 = x - 23
4x - x = -23 + 8
3x = -15
x = -15 / 3
x = -5
Checking the answer,
4 (-5) - 8 = (-5) - 23
-20 - 8 = -5 - 23
-28 = -28......................................true