Answer:
3x(x2 + 4)
Then use the distributive property
SO the final answer would be: 3x^3 +12x
Step-by-step explanation:
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
It is answer #1.
m + g must be less than or = 40 hours
12m + 14g must be greater than or = $250
1,000,000
If the number is 5-9 (in this case, the one in the hundred-thousands place), you round up. If lower, then round down
It would be (2,1)
y=-2*2+5
y=-4+5
y=1
