George can feed up to 6 people because there are 12 pieces of sandwich and each person eats 2
PART A:
The given quadratic equation is 2x²-10x-8=0
The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c
From the given equation, we have
a = 2
b = -10
c = -8
Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164
The radicand is >0 hence the quadratic equation has two distinct roots
PART B:
4x²-12x+5 = 0
We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12
The pair of number is -2 and -10
Rewriting the equation
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0
2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
ANSWER: (-3,-7)
Set them equal to each other so, 2x-1=3x+2 to find x. You should get x= -3
Then you plug in -3 for x to find Y for either y=2x-1 or y=3x+2. I’m picking y=3x+2 so when you plug in -3 to x it will be y=3(-3)+2 = -7 . So therefore y=-7
The answer is 2x-6y=-14 is the aswer
