Answer:
x = 14
Step-by-step explanation:
you would first distribute the -2 with x - 2, which should give you -2x + 4, and you want to do the -3 - 21, which would give you -24, then subtract 4 from -2x + 4, then you should have -2x = -28, then divide it by -2, which should give you x = 14
The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.
5.a) Steve - 60=5×12
= <u>5×3×2×2</u>
5.b) Ian - 60=6×10
= <u>3×2×5×2.</u>
<u>Discussion</u> - The prime factors reduce to the same numbers in both Steve's and Ian's case.
5.c) Case 1 of 48 = 6×8
= <u>3×2×2×2×2.</u>
Case 2 of 48 = 12×4
= <u>2×2×3×2×2.</u>
Step-by-step explanation:
The discriminant of the quadratic equation
:

If Δ < 0, then the equation has two complex roots 
If Δ = 0, then the equation has one repeated root ![x=\dfrac{-b}{2a}[/tex If Δ > 0, then the equation has two discint roots [tex]x=\dfrac{-b\pm\sqrt\Delta}{2a}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%7D%7B2a%7D%5B%2Ftex%20%3C%2Fp%3E%3Cp%3EIf%20%CE%94%20%3E%200%2C%20then%20the%20equation%20has%20two%20discint%20roots%20%5Btex%5Dx%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%5CDelta%7D%7B2a%7D)



