9514 1404 393
Answer:
D) x and ( y z + 1 2 ) are independent of each other
Step-by-step explanation:
Assuming this is not intended to be describing a function named x with an argument of yz+12, the variables in any expression are assumed to be independent of each other, unless additional information is provided showing their dependencies.
Here, there is no such additional information, so we must assume ...
x and (yz +12) are independent of each other
_____
<em>Additional comment</em>
The assumption stated in the answer is intended to ensure we're not concerned with something of the form ...
g(x)
which is an expression saying 'g' is dependent on 'x'. If we know 'g' is a function name, then g(yz+12) will make 'g' be dependent on (yz+12).
Similarly, if x(a) is intended to mean that x is a function of 'a', then the corresponding x(yz+12) will mean that x is dependent on (yz+12). This would be quite unusual, since letters toward the end of the alphabet are usually used for variable names, while letters in the middle of the alphabet are used for function names.
To complete the square you must split the b term in half, then square that answer.
6 is the b term, half of 6 is 3, 3 squared is 9. You will add 9 to both sides of x^2 + 6x = 15
x^2 + 6x + 9 = 24
5x+6y=18
5x=18-6y
x=(18-6y)/5
Use that in the other equation
18(18-6y)/5 - 15y = 36
64.8-21.6y - 15y = 36
28.8=36.6y
.7868=y
Now put that number in for y on the first equation
5x+6(.78) = 18
5x + 4.68 = 18
5x = 13.32
x = 2.66
and y = .78
Given:
Anita's fixed salary = Rs. W
Bonus = Rs. Z for every bedcover sold by her.
To find:
Her total earnings if she sold 46 bedcovers.
Solution:
We have,
Bonus if she sold 1 bedcover = Rs. Z
Bonus if she sold 46 bedcover = Rs. Z × 46
We know that,
Total earnings = Fixed salary + Bonus
= 
Therefore, the correct option is (b).
For the problem on the left, the best way to solve is by splitting the shape into two. The smaller square at the top, and the larger rectangle at the bottom. To find the area of the top of the square you multiply base times height. In this case, you do 36*36, to get 1296. For the larger rectangle, you also do base times height, and calculate 60*36, to get 2160. The final step is to add 2160 to 1296. After adding, you should get the sum of 3456. Add the unit, and since we’re finding area, add squares. The answer is 3456 yards squared.
For the second problem, we can notice that the shape is a trapezoid. The way we find the area of a trapezoid is by taking the average of the bottom length and the top length, and multiply it by the height. The first step is to do 16+8 to get 24. Next, you need to divide 24 by 2 since you’re finding the average of the two numbers. Finally, to finish multiply the height by 12. In this case you do 16*12, to get 192 feet squared.
Answer to A: 3456 Yards Squared
Answer to B: 192 Feet Squared
