ANSWER:

STEP-BY-STEP EXPLANATION:
We have the following equation:

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.
Therefore, the domain is x ≥ -4.
So the correct answer is D.
11.89 divide the pounds by 2000 to get your answer
The third term of the expansion is 6a^2b^2
<h3>How to determine the third term of the
expansion?</h3>
The binomial term is given as
(a - b)^4
The r-th term of the expansion is calculated using
r-th term = C(n, r - 1) * x^(n - r + 1) * y^(r - 1)
So, we have
3rd term = C(4, 3 - 1) * (a)^(4 - 3 + 1) * (-b)^(3-1)
Evaluate the sum and the difference
3rd term = C(4, 2) * (a)^2 * (-b)^2
Evaluate the exponents
3rd term = C(4, 2) * a^2b^2
Evaluate the combination expression
3rd term = 6 * a^2b^2
Evaluate the product
3rd term = 6a^2b^2
Hence, the third term of the expansion is 6a^2b^2
Read more about binomial expansion at
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Given:
and
.
To find:
The quadrant.
Solution:
We know that,
In I quadrant, all trigonometric ratios are positive.
In II quadrant, only
are positive and others are negative.
In III quadrant, only
are positive and others are negative.
In IV quadrant, only
are positive and others are negative.
We have,
and
.
Here,
is positive and
is negative. So,
lies in the III quadrant.
Therefore, the correct option is C, i.e., III.
Answer:
3 & 25 min.
Step-by-step explanation:
First you divide 540 by 270.