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: x=25
Step-by-step explanation:
7+x=32 (subtract 7)
x=25
Answer:
3
Step-by-step explanation:
the slope of an equation (y=mx+b) is always "m", or the coefficient right infront of x. in this case, y=3x-7, 3=m, -7=b. m is the slope, so the slope is 3.
1292 this shows how many people are on the team and also how many different rotations can be allowed
Answer:
10 Kingswood students are not on a team
Step-by-step explanation:
8-6 is 2 so 13 +2 is 15 so 15 are on a team, 20-15 is <em>10</em><em>.</em>
