Answer:
Option 3. -8
Step-by-step explanation:
we have
![x^{2} -10x+8=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-10x%2B8%3D0)
Group terms that contain the same variable, and move the constant to the opposite side of the equation
![x^{2} -10x=-8](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-10x%3D-8)
Complete the square. Remember to balance the equation by adding the same constants to each side
----> the isolated constant right side is -8
Rewrite as perfect squares
![(x-5)^{2}=17](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%3D17)
Square root both sides
![x-5=(+/-)\sqrt{17}](https://tex.z-dn.net/?f=x-5%3D%28%2B%2F-%29%5Csqrt%7B17%7D)
![x=5(+/-)\sqrt{17}](https://tex.z-dn.net/?f=x%3D5%28%2B%2F-%29%5Csqrt%7B17%7D)
Answer:
multiply 10 with the value given for x and add 2 to the result
Answer:
x > 4/3
Step-by-step explanation:
The first inequality can be solved this way ...
3x -91 > -87
3x > 4 . . . . . . . add 91
x > 4/3 . . . . . . divide by 3
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The second inequality has solution ...
21x -17 > 25
21x > 42 . . . . . . add 17
x > 2 . . . . . . . . . divide by 21
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The solution set is the union of these overlapping solutions, so will be equal to the first solution:
x > 4/3
Since the z score of the tallest woman is larger than the z score of the tallest man, she is taller, relative to respective gender populations.