3x^2 + 4x - 5 = 0
x = [-b ±√(b^2 - 4ac)]/2a
a = 3
b = 4
c = -5
x = [-4 ±√(16 + 60)]/6
x = [-4 ±√76]/6
x = [-4 ±√(2^2 * 19)]/6
x = [-4 ±2√19]/6
x = [-2 ±√19]/3
x = [-2 + √19]/3
x = [-2 + 4.35]/3
x = 2.35/3
x = 0.78 (rounded to the nearest hundredth)
x = [-2 - ±√19]/3
x = [-2 - 4.35]/3
x = -6.35/3
x = -2.12 (rounded to the nearest hundredth)
<span>∴ x = -2.12 , 0.78 (rounded to the nearest hundredth)</span>
3ax-8a=b-18x
3ax+18x=b+8a
3x(a+6)=b+8a
3x=(b+8a)/(a+6)
x=(b+8a)/3(a+6)
3a*(b+8a)/3(a+6)=b-18*(b+8a)/3(a+6)
a(b+8a)/(a+6)=b-6(b+8a)/(a+6)
a(b+8a)=b(a+6)-6(b+8a)
ab+8a^2=ab+6b-6b-48a
ab+8a^2=ab-48a
8a^2=-48a
8a^2+48a=0
8a(a+6)=0 so a=0,-6
0=b-18x or -18x+48=b-18x
-b=-18x or 48=b
let b=18 if a =-6
Answer:
In physical sciences, mechanical energy is the sum of potential energy and kinetic energy. It is the macroscopic energy associated with a system. The principle of conservation of mechanical energy states that if an isolated system is subject only to conservative forces, then the mechanical energy is constant.
hope it helps ;)
Answer:
the 3rd option is the answer
Step-by-step explanation:
I hope the attached file is self-explanatory
Answer:
Step-by-step explanation:
If you meant to type x+1<21, then we simplify this inequality by subtracting 1 from both sides, ending up with x < 20.
I do not recognize what your "4" represents.