Answer: 28 %
Explanation:
The original cost of the television is 1420$. The discounted price is instead 1022.40$. In order to find the percentage taken off, we must calculate the difference between the original price and the final price, and then divide the result by the original price:
![\frac{1420 -1022.40}{1420}=0.28](https://tex.z-dn.net/?f=%5Cfrac%7B1420%20-1022.40%7D%7B1420%7D%3D0.28)
And to calculate the percentage, we simply multiply by 100:
![0.28 \cdot 100 =28 \%](https://tex.z-dn.net/?f=0.28%20%5Ccdot%20100%20%3D28%20%5C%25)
Quadratic Equation:
![y=-x^2+12x-11](https://tex.z-dn.net/?f=y%3D-x%5E2%2B12x-11)
What is the Vertex?
Vertex Form:
![y=a(x - h)^2 + k](https://tex.z-dn.net/?f=y%3Da%28x%20-%20h%29%5E2%20%2B%20k)
, where (h, k<span>) is the vertex of the parabola.
</span>
![y=-x^2+12x-11](https://tex.z-dn.net/?f=y%3D-x%5E2%2B12x-11)
![y=(-x^2+12x)-11](https://tex.z-dn.net/?f=y%3D%28-x%5E2%2B12x%29-11)
![y=-1(x^2-12x)-11](https://tex.z-dn.net/?f=y%3D-1%28x%5E2-12x%29-11)
![y=-1(x^2-12x+36-36)-11](https://tex.z-dn.net/?f=y%3D-1%28x%5E2-12x%2B36-36%29-11)
![y=-1(x^2-12x+36)+36-11](https://tex.z-dn.net/?f=y%3D-1%28x%5E2-12x%2B36%29%2B36-11)
![y=-1(x-6)^2+25](https://tex.z-dn.net/?f=y%3D-1%28x-6%29%5E2%2B25)
<span>Vertex is (6,25)
Axis of Symmetry?
This is just the h value so the AoS = 6
Total Distance? (I assume x-intercepts)
</span>
![y=-x^2+12x-11](https://tex.z-dn.net/?f=y%3D-x%5E2%2B12x-11)
![y=-1(x^2-12x+11)](https://tex.z-dn.net/?f=y%3D-1%28x%5E2-12x%2B11%29)
![y=-(x-1)(x-11)](https://tex.z-dn.net/?f=y%3D-%28x-1%29%28x-11%29)
x-intercepts are (1,0) and (11,0) so in between them was the flight.
Domain and Range?
I'm not sure what domain and range are but I found a calc online for it and it says
Domain: <span><span>(<span><span>−∞</span>,∞</span>)</span>,<span>{<span>x|x∈R</span>}</span></span>Range: <span><span>(<span><span>−∞</span>,25</span>]</span>,<span>{<span>y|y≤25</span>}</span></span>
3, 5, and 6 are incorrect.
In number 3, you have all the steps correct, except for the last one. Instead of adding 19 to 25, you would multiply it, because there is no addition sign in between the absolute value sign and 5^2. Thus making the answer 475.
In number 5, you first square -2. -2 * -2 ( or -2^2) = 4. Next, you square 3. 3 * 3 (3^2) is 9. Then, you subtract 9 from 4 to get -5. The absolute value of -5 is 5, making 5 the answer. Absolute value is kind of like the distance from zero, for instance -5 is 5 units away from 0 and the absolute value can never be a negative number. Thus making 5 the answer.
In number 6, you first solve the parenthesis. 2 - 3 = -1 and -1 * -1 (-1^2) is 1. Next, you square -3. -3 * -3 (-3^2) = 9. Then, you subtract 1 from 9 to get 8. The absolute value of 8, is 8. Finally, multiply -4 and 8 to get -32. Thus meaning -32 is the answer.
I hope this helps!
The inverse is x²+7
.......
Answer:
7/10
Step-by-step explanation: