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:
y= 2000 * x + 175000
Step-by-step explanation:
Given is Population is 175,000
Increase in rate = 2000/year
Let x be the population in 1995 which is C= 175,000
y= Population after per year
We know the formula for slope intercept form is
y= mx + C ............... (i)
Now from the suppose values and given
m= 2000
Now putting values in equation (i) gives
y= 2000 * x + 175000
Here x is the No of years
(15,-25)(-12,11)
slope = (11 - (-25) / (-12 - 15) = - 36 / 27 which reduces to - 4/3
y = mx + b
slope(m) = -4/3
use either of ur points (15,-25)...x = 15 and y = -25
now we sub and find b, the y int
-25 = -4/3(15) + b
-25 = - 20 + b
-25 + 20 = b
-5 = b
so ur equation is : y = -4/3x - 5 <==
Answer:
336+76+48+38= 498
Step-by-step explanation:
add all those sides up because it is just the perimeter
