A is confirmed as correct since -13 falls within the domain of g(x), and 20 is included in its range. For g(x), the inequality holds: -20 < -13 < 5 and -5 < 20 < 45. B is incorrect since the number 4 exists within the domain of g(x), but -11 is not within its range, represented by -20 < 4 < 5 and -11 < -5. C is likewise incorrect, as it is stated that g(0) equals -2. D is also false since 7 does not belong to the domain of g(x).
The correct choice is option D. The given equations are:...[1]...[2] Multiply equation [1] by 5 on both sides; we have...[3]. By using the elimination method, we can add equations [2] and [3] to eliminate y and determine x, resulting in... Dividing both sides by 13 yields x = 3. Substituting x back into equation [1] results in 2(3) - y = -4, which simplifies to 6 - y = -4. After subtracting 6 from both sides, we find -y = -10. Dividing through by -1 gives y = 10. Hence, the solution is (3, 10). Consequently, a valid equation that can replace 3x + 5y = 59 in the original set while still yielding the same result is 13x = 39.
Utilizing commas makes it simpler to discern the figures.
6,289,002
The digit 6 occupies the millions spot. When rounding, if the subsequent digit is 5 or more, you will round up. Conversely, if the following digit is 4 or less, you will round down. Since the number following 6 is 2, rounding will lead to a decline. The closest million is therefore 6,000,000.
Answer:
Part 1) The algebraic expression can be represented as 
or 
Part 2) The algebraic expression is represented as 
Step-by-step explanation:
Part 1) The expression (n-1) raised by 110%
Recognizing that
110%=110/100=1.10
thus,
The algebraic representation of (n-1) increased by 110% translates to 1.10 multiplied by (n-1).
Expanded
Part 2) The expression n^(-1) raised by 110%
<pGiven that
110%=110/100=1.10
therefore, the representation of n^(-1) increased by 110% becomes 1.10 multiplied by n^(-1).
Remember that
thus,
42. The permutation formula is P(n, r) = n! / (n - r)!. Given n = 7 and r = 2, we have: 7! / (7 - 2)! = 7! / 5!. This simplifies to 7 * 6 (since 5! cancels out), resulting in 42.
