For a), wouldn't you multiply the cost of a twin by the quantity of a twin beige (N) and the cost of a queen by the quantity of the queen beige (N) and then the cost of the king by the quantity of the king beige (N) for CN and do the same thing but with the south quantities?
And then for b), it's just comparing which one had the most money and find the difference...
And then C), would be relatively self explanatory where CN would be the potential profit in N and CS would be the potential profit in S and then CN+CS would be the potential profit total?
Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :
where;
a = 12; b = -144 and c = 299
Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.
Answer:
scientific notation, the number to the left of the x must be between 1 and 10, so you have to move the decimal place until that happens - which in this case means moving it 2 digits to the right.
the x 10^ is standard, the only thing you need to change is the exponent. a negative exponent means you move the decimal to the left, and a positive exponent means to the right. you just count how many decimal places you have to move to get from 1.23 to .0123, and in which direction. here, you have to move it 2 places to the left, so you end up with 1.23 x 10^-2
feel free to report if it's wrong
Step-by-step explanation:
A is the linear function.
Explanation
You find the slope by taking sets of 2 points at a time and use the slope formula of change in y divided by change in x.
In every case , this -3 is the same slope so it is a linear line.
You could go farther but it is not required. The equation is y = -3x + 18. You determine the y= Mx+b by plugging the slope into the m and any two of your given points.
Hope this helps and you have a great day.
