Answer:
3<9n=6 or 3-9n≤6
Step-by-step explanation:
if you are writing an equation I would go with the second
Answer:
B
Step-by-step explanation:
It's B
3^5 = 243
so the 5th root of 243 is 3
(x^7)^(1/5) = x^(7/5)
(y^10)^(1/5) = 7 ^(10/5) = 7^2
z^(21)^(1/5) = z^(21/5)
Answer:
D: ∛(¼(x + 5))
Step-by-step explanation:
The parent function is;
f(x) = ∛x
A horizontal stretch multiplying by ¼ means that our function is now;
f(x/4) = ∛(x/4)
Now shifting to the left by 5 units denotes;
f(x + 5) = ∛((x + 5)/4)
Or expressed as; ∛(¼(x + 5))
Answer:
Here we have the function:
y = f(x) = 3^x
Using the values:
x and (x + 1)
We need to find that the y-value increases by a factor of 3.
So we need to prove that:
f(x + 1) = 3*f(x).
Or we can see the quotient:
f(x + 1)/f(x) = 3
Here we can find the values:
f(x + 1) = y = 3^(x + 1)
f(x) = y' = 3^x
If we take the quotient, we get:

Here we can use the properties:


Using these in the quotient equation we get:

Then:


So we found that the y-value increases by a factor of 3 between any two points x₂ and x₁ such that: x₂ - x₁ = 1.