Standard form would be: 632,770
Hope it helps!!
11% not 100% sure Bc I calculated but hope it helped!
There are 49 gallons of red paint.
I figured it out by doing the following:
![70 \: - \: 21 \: = \: 49](https://tex.z-dn.net/?f=70%20%5C%3A%20%20-%20%20%5C%3A%2021%20%5C%3A%20%20%3D%20%20%5C%3A%2049)
If you subtract the gallons of pink paint (21) from the total number of gallons (70), then you get the number of gallons of red paint (49) because 49 + 21 = 70. I hope that helps :)
Answer:
Step-by-step explanation:
Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,
2j + 32 + 6j - 2 + 30 = 180 and
8j + 60 = 180 and
8j = 120 so
j = 15
<h2>Hello!</h2>
The answer is:
The interval notation will be: (-∞,-1.59) and (-4.41,∞+)
<h2>Why?</h2>
To solve the expression, we need to perform the following steps:
- Find the roots or zeroes of the expression:
Using the quadratic equation, we have:
![\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%2B-%5Csqrt%7Bb%5E%7B2%7D-4%2Aa%2Ac%20%7D%20%7D%7B2%2Aa%7D)
We are given the quadratic expression:
![x^{2} +6x+7](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B6x%2B7)
Where,
![a=1\\b=6\\c=7](https://tex.z-dn.net/?f=a%3D1%5C%5Cb%3D6%5C%5Cc%3D7)
Then, substituting and calculating we have:
![\frac{-6+-\sqrt{6^{2}-4*1*7 } }{2*1}=\frac{-6+-\sqrt{36-28 } }{2}\\\\\frac{-6+-\sqrt{36-28}}{2}=\frac{-6+-\sqrt{8}}{2}\\\\x_{1}=\frac{-6+\sqrt{8}}{2}=\frac{-6+2.82}{2}=-1.59\\\\x_{2}=\frac{-6-\sqrt{8}}{2}=\frac{-6-2.82}{2}=-4.41](https://tex.z-dn.net/?f=%5Cfrac%7B-6%2B-%5Csqrt%7B6%5E%7B2%7D-4%2A1%2A7%20%7D%20%7D%7B2%2A1%7D%3D%5Cfrac%7B-6%2B-%5Csqrt%7B36-28%20%7D%20%7D%7B2%7D%5C%5C%5C%5C%5Cfrac%7B-6%2B-%5Csqrt%7B36-28%7D%7D%7B2%7D%3D%5Cfrac%7B-6%2B-%5Csqrt%7B8%7D%7D%7B2%7D%5C%5C%5C%5Cx_%7B1%7D%3D%5Cfrac%7B-6%2B%5Csqrt%7B8%7D%7D%7B2%7D%3D%5Cfrac%7B-6%2B2.82%7D%7B2%7D%3D-1.59%5C%5C%5C%5Cx_%7B2%7D%3D%5Cfrac%7B-6-%5Csqrt%7B8%7D%7D%7B2%7D%3D%5Cfrac%7B-6-2.82%7D%7B2%7D%3D-4.41)
- Inequality interpretation:
Now that we already know the roots of the quadratic expression, and we can see that the parabola open upwards (positive quadratic coefficient), we can conclude that the function is less than 0 between the numbers -4.41. and -1.59
The interval notation will be:and (-∞,-1.59) and (-4.41,∞+)
Have a nice day!
Note: I have attached a picture for better understanding.