Answer:
-3
Step-by-step explanation:
y=1/2x-3
y=mx+b where m=slope and b=y-intercept
b=-3
Answer:
x = 2.36603 or 0.633975
Step-by-step explanation:
Here we want to solve the quadratic equation using the completing the square method.
2x^2-6x + 3 = 0
divide through by 2 first;
x^2 -3x + 3/2 = 0
x*2 -3x = -3/2
Half the x term will be -3/2 and squaring it is 9/4
we add this to both sides
x^2-3x/2 + 9/4 = -3/2 + 9/4
(x-3/2)^2 = 3/4
Finding square root of both sides
x-3/2 = √(3/4)
x = 3/2 ± √(3/4)
x = 3/2 + √(3/4) or x = 3/2-√(3/4)
which becomes
x = 2.36603 or 0.633975
Answer:
16 and 48
Step-by-step explanation:
let the 2 integers be x and 3x ← ratio 1 : 3
Then
3x - x = 32 ← difference between the integers
2x = 32 ( divide both sides by 2 )
x = 16
and 3x = 3 × 16 = 48
Since magnitude of difference is 32
We can also express the difference as
x - 3x = 32
- 2x = 32 ( divide both sides by - 2 )
x = - 16
and 3x = 3 × - 16 = - 48
The 2 integers are 16 and 48 or - 16 and - 48
28.7083333333...
But you could also round it up to 29.
