Answer:
Solving the equation
by completing the square method we get ![\mathbf{(x+3)^2=17}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x%2B3%29%5E2%3D17%7D)
Option B is correct option.
Step-by-step explanation:
We need to solve the equation
by completing the square method.
For completing the square method: we need to follow: ![a^2+2ab+b^2=(a+b)^2](https://tex.z-dn.net/?f=a%5E2%2B2ab%2Bb%5E2%3D%28a%2Bb%29%5E2)
We are given:
![x^2+6x-8=0](https://tex.z-dn.net/?f=x%5E2%2B6x-8%3D0)
Solving by completing the square
![x^2+2(x)(?)+(?)^2-8=0](https://tex.z-dn.net/?f=x%5E2%2B2%28x%29%28%3F%29%2B%28%3F%29%5E2-8%3D0)
We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.
So, adding and subtracting (3)^2
![x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17](https://tex.z-dn.net/?f=x%5E2%2B2%28x%29%283%29%2B%283%29%5E2-8-%283%29%5E2%3D0%5C%5C%28x%2B3%29%5E2-8-9%3D0%5C%5C%28x%2B3%29%5E2-17%3D0%5C%5C%28x%2B3%29%5E2%3D17)
So, solving the equation
by completing the square method we get ![\mathbf{(x+3)^2=17}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x%2B3%29%5E2%3D17%7D)
Option B is correct option.
Answer:
x = 4
Step-by-step explanation:
12/15=28/a which is a=35
then 35+28=63
14x+7=63 and x would be 4
Answer:
The number generator is fair. It picked the approximate percentage of red lollipops most of the time.
Step-by-step explanation:
The other answer choices represent various misinterpretations of the nature of the experiment or the meaning of the numbers generated.
___
A number generator can be quite fair, but give wildly varying percentages of red lollipops. Attached are the results of a series of nine (9) simulations of the type described in the problem statement. You can see that the symmetrical result shown in the problem statement is quite unusual. A number generator that gives results that are too ideal may not be sufficiently random.
That would not be right because 4 times 3 equals 12 and -6 times 3 equals -18.