![~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+4}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(4)}}{2(3)}\implies x=\cfrac{-2\pm \sqrt{4-48}}{6}](https://tex.z-dn.net/?f=~~~~~~~~~~~~%5Ctextit%7Bquadratic%20formula%7D%20%5C%5C%5C%5C%20%5Cstackrel%7B%5Cstackrel%7Ba%7D%7B%5Cdownarrow%20%7D%7D%7B3%7Dx%5E2%5Cstackrel%7B%5Cstackrel%7Bb%7D%7B%5Cdownarrow%20%7D%7D%7B%2B2%7Dx%5Cstackrel%7B%5Cstackrel%7Bc%7D%7B%5Cdownarrow%20%7D%7D%7B%2B4%7D%3D0%20%5Cqquad%20%5Cqquad%20x%3D%20%5Ccfrac%7B%20-%20b%20%5Cpm%20%5Csqrt%20%7B%20b%5E2%20-4%20a%20c%7D%7D%7B2%20a%7D%20%5C%5C%5C%5C%5C%5C%20x%3D%20%5Ccfrac%7B%20-%20%282%29%20%5Cpm%20%5Csqrt%20%7B%20%282%29%5E2%20-4%283%29%284%29%7D%7D%7B2%283%29%7D%5Cimplies%20x%3D%5Ccfrac%7B-2%5Cpm%20%5Csqrt%7B4-48%7D%7D%7B6%7D)
![x=\cfrac{-2\pm \sqrt{-44}}{6}\implies x=\cfrac{-2\pm \sqrt{(-1)(2^2)(11)}}{6}\implies x=\cfrac{-2\pm 2~i\sqrt{11}}{6} \\\\\\ x=\cfrac{2(-1\pm i\sqrt{11})}{6}\implies x=\cfrac{-1\pm i \sqrt{11}}{3}](https://tex.z-dn.net/?f=x%3D%5Ccfrac%7B-2%5Cpm%20%5Csqrt%7B-44%7D%7D%7B6%7D%5Cimplies%20x%3D%5Ccfrac%7B-2%5Cpm%20%5Csqrt%7B%28-1%29%282%5E2%29%2811%29%7D%7D%7B6%7D%5Cimplies%20x%3D%5Ccfrac%7B-2%5Cpm%202~i%5Csqrt%7B11%7D%7D%7B6%7D%20%5C%5C%5C%5C%5C%5C%20x%3D%5Ccfrac%7B2%28-1%5Cpm%20i%5Csqrt%7B11%7D%29%7D%7B6%7D%5Cimplies%20x%3D%5Ccfrac%7B-1%5Cpm%20i%20%5Csqrt%7B11%7D%7D%7B3%7D)
mind you that it has two complex roots, or imaginary values.
Answer:
Step-by-step explanation: when you first open the graphing tool you have to click relationship and choose custom. put in gwen’s equations (y=100+10x) then go to relationship and choose custom again and put in tristan’s equation (y=12.5)
also click on the settings button at the bottom of the graph and put the x axis to -100 min and 100 max and for y axis put -1000 min and 1000 max or you could choose your own numbers but thats just what i put
Answer:
y - 1/10 = x
Step-by-step explanation:
y = # minutes read Kiran
x = # minutes read Andre
Answer:
Graph f(x)=1/4x-3. f(x)=14x−3 f ( x ) = 1 4 x - 3. Rewrite the function as an equation. y=x4−3 y = x 4 - 3. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps. ... Any line can be graphed using two points. Select two x ...
Step-by-step explanation:
Step-by-step explanation:
tan x = 3/4
Tangent is opposite over adjacent, so draw a right triangle with angle x where the opposite side is 3 and the adjacent side is 4.
Use Pythagorean theorem to find the hypotenuse:
c² = 3² + 4²
c² = 25
c = 5
Sine is opposite over hypotenuse, so:
sin x = 3/5