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
The answer is -485.
To find this we first need to get rid of the 5 in the denominator.
100 =

So we multiply each side by 5.
500 = 15 - x
Now we need to get rid of the 15. So we subtract 15 from both sides.
485 = -x
Then since our x is negative, we need to divide by -1.
-485 = x
Answer: 2657ml converted to liters is 2.657
Step-by-step explanation: hope this helps
I'll go thru the problem and then you fill in the blanks yourself.
8 2
________
6 / 4 9 2
- 4 8
-----------------
1 2
1 2
--------------
0
Answer:
Suzie's speed was 3.6 mph
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
s ----> the speed in mph (miles per hour)
x ----> the distance in miles
y ----> the time in hours
so

Find Suzie's speed
we have


substitute

Convert mixed number to an improper fraction

substitute
