Answer:
The answer is 16.8%
Step-by-step explanation:
First, find the difference in the price, which is $78. You can then use that number to find the percentage by dividing the difference by the original price, then moving the decimal over to the right twice. You prove this with the discount equation. $387= $465-(16.8%*465). You will get a number similar to 387, but that is only because you are using a rounded percentage.
Answer:
y= 11 | 19 | 27 |35 | 43 |
ANSWER
A. x = 2, √11, -√11
EXPLANATION
To find the zeros of f, which is a 3rd-degree polynomial, we can try some common values to see if any of them is a zero: 1, 2, -1, -2. In this case 2 is a zero of the function:
![\begin{gathered} f(2)=2\cdot2^3-4\cdot2^2-22\cdot2+44 \\ f(2)=2\cdot8-4\cdot4-44+44 \\ f(2)=16\cdot16 \\ f(2)=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%282%29%3D2%5Ccdot2%5E3-4%5Ccdot2%5E2-22%5Ccdot2%2B44%20%5C%5C%20f%282%29%3D2%5Ccdot8-4%5Ccdot4-44%2B44%20%5C%5C%20f%282%29%3D16%5Ccdot16%20%5C%5C%20f%282%29%3D0%20%5Cend%7Bgathered%7D)
Now we can reduce our polynomial by dividing it by the factor (x - 2) and obtain a 2nd-degree polynomial, whose zeros are easier to find:
So we can rewrite f(x) as:
![f(x)=(x-2)(2x^2-22)](https://tex.z-dn.net/?f=f%28x%29%3D%28x-2%29%282x%5E2-22%29)
To find the other two zeros we have to solve:
![2x^2-22=0](https://tex.z-dn.net/?f=2x%5E2-22%3D0)
Add 22 to both sides of the equation:
![\begin{gathered} 2x^2-22+22=0+22 \\ 2x^2=22 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202x%5E2-22%2B22%3D0%2B22%20%5C%5C%202x%5E2%3D22%20%5Cend%7Bgathered%7D)
Divide both sides by 2:
![\begin{gathered} \frac{2x^2}{2}=\frac{22}{2} \\ x^2=11 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B2x%5E2%7D%7B2%7D%3D%5Cfrac%7B22%7D%7B2%7D%20%5C%5C%20x%5E2%3D11%20%5Cend%7Bgathered%7D)
And take square root. Remember that the square root has a positive and a negative result:
![\begin{gathered} \sqrt[]{x^2}=\pm\sqrt[]{11} \\ x=\pm\sqrt[]{11} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csqrt%5B%5D%7Bx%5E2%7D%3D%5Cpm%5Csqrt%5B%5D%7B11%7D%20%5C%5C%20x%3D%5Cpm%5Csqrt%5B%5D%7B11%7D%20%5Cend%7Bgathered%7D)
So the other two zeros are √11 and -√11.
The three real zeros of f are 2, √11 and -√11
Answer:
(2,0)
Step-by-step explanation:
the x intercept is when 'y' is equal to 0 :
0 = 3x - 6
6 = 3x
x = 2