Answer:
x = 2 ±i
Step-by-step explanation:
x^2 = 4x-5
Subtract 4x from each side
x^2 - 4x = 4x-5 -4x
x^2 - 4x= -5
Complete the square
Take the coefficient of the x term, divide by 2 and square it
-4/2 =2 2^2 =4
Add 4 to each side
x^2 -4x+4 = -5 +4
The left side is (x-coefficient of the x term/2)^2
(x-2)^2 = -1
Take the square root of each side
sqrt((x-2)^2) = sqrt(-1)
x-2 = ±i
Add 2 to each side
x-2+2 = 2 ±i
x = 2 ±i
Answer:
v=2144.66
Step-by-step explanation:
formula: 4/2 (pi) (r)³
................
Answer:
Step-by-step explanation:
We are given the function:
And we want to find F(<em>b</em> + 3).
We can substitute:
Expand:
Rearrange:
Combine like terms. Hence:
In conclusion:
Answer: D) 3x - 5
Step-by-step explanation:
f(x) - g(x)
f(x) = 1/2x - 3
g(x) = -5/2x + 2
Using the values of f(x) and g(x) gives us the equation:
1/2x - 3 - (-5/2x +2)
By distributing the negative sign, the signs on 5/2 and 2 are flipped, making them positive and negative respectively.
Our new equation is:
1/2x -3 + 5/2x -2
Adding up like numbers gives us:
6/2x - 5
Simplifying 6/2x => 3x
So our final equation is:
3x - 5
Hope this helps!
2/5 ≥ x - (4/5). add 4/5 to each side
6/5 ≥ x
