Step-by-step explanation:
The derivative of ln(u) is du / u.
d/dx (ln y) = y' / y
Answer:
A polynomial is prime if it can not be factored into polynomials of lower degree also with integer coefficients.
For example, the first option:
x^3 + b*x^2 can be rewritten as:
(x - 0)*(x^2 + b*x)
So it is not prime.
The second option:
x^2 -4x - 12
Because here we can factor this into:
(x + 2)*(x - 6) = x^2 - 6x + 2*x - 12 = x^2 - 4x - 12
Now, the third option is a two variable polynomial, here the degree is equal to the sum of the degrees of both variables.
x^4 + 8*x*y^3
(x - 0)*(x^3 + 8*y^3)
So each side has a lower degree than the original polynomial, then it is not prime.
4th option:
x^2 - b^3
This can be written as:
(x + b^(3/2))*(x - b^(3/2))
Now, here we have a problem.
If for example, b = 1, this would not be a prime.
because 1^(3/2) = 1.
But if b^(3/2) is not an integer, then we can not factorize the initial polynomial into lower degree polynomials with only integer coefficients, then we can not be 100% sure that this is not a prime polynomial, then this is the correct option.
The sequence of numbers decrease by 6 each time, so we can write:
f(1) = 5
f(2) = -1
f(3) = -7
f(1) - f(2) = 6
or:
f(2) = f(1) - 6
which means:
f(n + 1) = f(n) - 6
Answer:
28
Step-by-step explanation:
200/7
=28.5714285714
Therefore, at most 20 tents can be put up.
PLS GIVE BRAINLIEST
Answer:
$180
Step-by-step explanation:
The difference between 1/5 and 1/6 of the rental price is ...
1/5 - 1/6 = 6/30 -5/30 = 1/30 . . . of the rental price
If 1/30 of the rental price is $6, then the full rental price is $6 × 30 = $180.
The total rent of the car is $180.