<h2>As a decimal: 20.56667</h2><h2>As fractions:
![\frac{617}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B617%7D%7B30%7D)
OR
![20\frac{17}{30}](https://tex.z-dn.net/?f=20%5Cfrac%7B17%7D%7B30%7D)
</h2>
Answer:
7 blue marbles
Step-by-step explanation:
because 3:7 equals red:blue so blue = 7
Step-by-step explanation:
![x^{2} - 4x - 7 = 0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-%204x%20-%207%20%3D%200)
First, let's move the
to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:
![x^{2} - 4x = 7](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-%204x%20%3D%207)
From here, since the coefficient of the
term is
, we know the square will be
(since
it's half of
).
To complete this square, we will need to add
to both sides of the equation:
![x^{2} - 4x + (-2)^2 = 7 + ^{-2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-%204x%20%2B%20%28-2%29%5E2%20%3D%207%20%2B%20%5E%7B-2%7D)
![x^{2} - 4x + 4 = 7 + 4](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-%204x%20%2B%204%20%3D%207%20%2B%204)
![(x - 2)^{2} = 11](https://tex.z-dn.net/?f=%28x%20-%202%29%5E%7B2%7D%20%3D%2011)
Now we can take the square root of both sides to figure out the solutions to
:
![x - 2 = \pm \sqrt{11}](https://tex.z-dn.net/?f=x%20-%202%20%3D%20%5Cpm%20%5Csqrt%7B11%7D)
![x = 2 \pm \sqrt{11}](https://tex.z-dn.net/?f=x%20%3D%202%20%5Cpm%20%5Csqrt%7B11%7D)
I think the answer is 9
It's a smaller version of the other figure.
21/3=7
27/3=9