Standard form: ax^2 + bx + c = y
Steps to simplify:
2x^2 - 1 = 3x + 4
~Subtract (3x + 4) to both sides
2x^2 - 1 - 3x + 4 = 3x + 4 - 3x + 4
~Simplify
2x^2 - 3x - 5 = 0
(a = 2, b = -3, c = -5)
Now that we know what these values are, we can use the quadratic formula to solve.
![x=\frac{-b-+\sqrt{b^2-4ac} }{2a} \\x = \frac{-(-3)-+\sqrt{-3^2-4(2)(-5)} }{2(2)}\\x= \frac{-3-+\sqrt{49} }{4} \\x=\frac{3-+7}{4} \\x = \frac{10}{4}~or~\frac{-4}{4} \\x=\frac{5}{2}~or~-1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b-%2B%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%5C%5Cx%20%3D%20%5Cfrac%7B-%28-3%29-%2B%5Csqrt%7B-3%5E2-4%282%29%28-5%29%7D%20%7D%7B2%282%29%7D%5C%5Cx%3D%20%5Cfrac%7B-3-%2B%5Csqrt%7B49%7D%20%7D%7B4%7D%20%5C%5Cx%3D%5Cfrac%7B3-%2B7%7D%7B4%7D%20%5C%5Cx%20%3D%20%5Cfrac%7B10%7D%7B4%7D~or~%5Cfrac%7B-4%7D%7B4%7D%20%20%5C%5Cx%3D%5Cfrac%7B5%7D%7B2%7D~or~-1)
Answer: x = 5/2 or x = -1
Best of Luck!
Answer: she needs to babysit 4 more times.
Step-by-step explanation:
Answer:
I'm pretty sure City A can be more accurate because it has greater variation than City B.
Step-by-step explanation:
Answer:
angle 3 is 140°
Step-by-step explanation:
angle 2 and angle 3 are equal
angle 4 and 1 are also equal
angle 3 =
180-40= 140
angle 3 is 140