Answer:
y=5/4x+7
Step-by-step explanation:
Honestly, I just guessed and checked, but here is a picture of evidence.
Answer:
Step-by-step explanation:
The difference quotient in general looks like
Sometimes the symbol "delta x" 
is used instead of h.
For the exponential function, the difference quotient is
Answer:
A and B are independent events because P(AIB) = P(A).
Step-by-step explanation:
got it right on edge
Answer: D: s∈ (-∞, 3]
Step-by-step explanation:
When we have a function:
y = f(x)
The domain is the set of the possible values we can input in f(x).
In this case, we have:
y = √(3 - s)
Where our variable is s.
So we want to find the possible values of s we can input in that function.
Remember that if y is a real number, then we can not have a negative number inside the square root, because it will lead to an complex solution.
Then the argument of the square root needs to be equal to or larger than zero.
This means that:
3 - s ≥ 0
From this inequality, we can find the possible values of s, which will be the domain.
We need to isolate s.
3 ≥ s
This means that s needs to be smaller than or equal to 3.
Then the domain is:
D: s∈ (-∞, 3]
Answer:
Step-by-step explanation:
A difference of two perfect cubes, x^3 - y^3 can be factored into
(x-y) • (x^2 +xy +y^2) =0 equation 1
x ^3 - 64 = 0
(x)^3 - (4)^3 = 0 equation 2
Now substituting equation 2 into equation 1, we get
(x-4) (x^2+(x).(4) +(4)^2) = 0
(x-4) (x^2+4x+16) = 0
so the solutions are
1) x - 4 =0
x=4
x^2 + 4x + 16 = 0
By using the quadratic formula we get the followig solutions:
- B ± √ B2-4AC
x = ————————
2A
x =(-4-√-48)/2=-2-2i√ 3 = -2.0000-3.4641i
x =(-4+√-48)/2=-2+2i√ 3 = -2.0000+3.4641i
