Answer:
<h3>x = 3/2 ± √(61/20)</h3>
Step-by-step explanation:
5x² - 15x - 4 = 0
Add 4 to both sides.
5x² - 15x = 4
The coefficient of 5x² is 5, divide both sides by 5.
x² - 3x = 4/5
The coefficient of -3x is -3. Let b=-3.
Then we need to add (b/2)^2=9/4 to both sides to complete the square.
Add 9/4 to both sides.
x² - 3x + 9/4 = 61/20
Factor left side.
(x-3/2)² = 61/20
Take square root of both sides.
x-3/2 = ± √(61/20)
Add 3/2 to both sides.
x = 3/2 ± √(61/20)
The decimal is 0.543 and the fraction is 543/1000
Answer:
Step-by-step explanation:
The slope intercept form of a line is y=mx+b where m=slope and b=y intercept. So we should solve for y.
3x/5+25y=10, multiply all terms by 5 and the denominator cancels out
3x+125y=50, subtract 3x from each side
125y=-3x+50, divide both sides by 125
y=(-3+50)/125
slope=m=-3/125
y intercept=b=2/5
Answer:
f(-3) = g(-3)
Step-by-step explanation:
We know that f(x) = g(x) where the two graphs intersect
f(-3) = g(-3)
Answer: ![\sqrt[5]{y}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7By%7D)
I realize its probably not the largest readable font. If you are having trouble reading it, it is the square root of y; however, there is a tiny little 5 in the upper left corner to indicate a fifth root. So you would read it out as "the fifth root of y"
The rule I'm using is
![x^{1/n} = \sqrt[n]{x}](https://tex.z-dn.net/?f=x%5E%7B1%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bx%7D)
and the more general rule we could use is
![x^{m/n} = \sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D)
where m = 1. This rule helps convert from rational exponent form (aka fractional exponents) to radical form.
