Answer:
A. 4x²+20x+25
Step-by-step explanation:
Because of PEMDAS, you calculate the value inside of the parenthesis first, so you expand [2x+1-(4x+6)]:
2x+1-4x-6 = -2x-5.
Then apply the exponent:
(-2x-5)² = (-2x-5)(-2x-5) = 4x²+10x+10x+25 = 4x²+20x+25
Answer:
![x = -3 + 2\sqrt2 \ , \ x = -3 - 2\sqrt2](https://tex.z-dn.net/?f=x%20%3D%20-3%20%2B%202%5Csqrt2%20%20%5C%20%2C%20%5C%20x%20%3D%20-3%20-%202%5Csqrt2)
Step-by-step explanation:
x² + 6x + 1 = 0
a = 1 , b = 6 , c = 1
![x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-6 \pm \sqrt{36-4}}{2}\\\\x=\frac{-6 \pm \sqrt{32}}{2}\\\\x= \frac{-6 \pm \sqrt{16 \times 2}}{2}\\\\x = \frac{-6 +4\sqrt2 }{2}\\\\x = -3 + 2\sqrt2 \ , \ x = -3 - 2\sqrt2](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-6%20%5Cpm%20%5Csqrt%7B36-4%7D%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B-6%20%5Cpm%20%5Csqrt%7B32%7D%7D%7B2%7D%5C%5C%5C%5Cx%3D%20%5Cfrac%7B-6%20%5Cpm%20%5Csqrt%7B16%20%5Ctimes%202%7D%7D%7B2%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-6%20%2B4%5Csqrt2%20%7D%7B2%7D%5C%5C%5C%5Cx%20%3D%20-3%20%2B%202%5Csqrt2%20%20%5C%20%2C%20%5C%20x%20%3D%20-3%20-%202%5Csqrt2)
Answer:
The sum of a negative and a negative is always a positive
Step-by-step explanation:
Since it starts at 50 and goes to 35....it is a decrease since the amount is going down, or getting smaller. To find the percent, first find the difference 50-35 = 15; then divide by the initial amount of 50. So, 15/50 = 0.3, and then convert that to a percent by multiplying by 100. Therefore the percent decrease is 30%