Answer: 4,320 inches cubed.
Step-by-step explanation:
step 1----- Volume of 1 canvas box
Volume of solid for a rectangular box = Length x width xHeight
where Length= 12inches,
Width= 10 inches
Height= 12 inches
Volume of a Canvas box= 12 X 10 X 12= 1440 inches cubed
Step 2== Volume of 3 canvas boxes
1 canvas box = 1440 inches cubed
therefore 3 canvas boxes =
1440 x 3= 4320 inches cubed.
For any exponential function, f(x) = abx, the range is the set of real numbers above or below the horizontal asymptote, y = d, but does not include d, the value of the asymptote.
Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
Answer:
infinite solutions
Step-by-step explanation:
y=5/2x+2
2y= 5x +4
Multiply the first equation by 2
y = 5/2 x +2
2y = 5/2 *2 x +2 *2
2y = 5x +4
Since this is identical to the second equation (they are the same), the system of equations has infinite solutions
X = large boxes and y = small boxes
x + y = 70.....x = 70 - y
60x + 65y = 4300
60(70 - y) + 65y = 4300
4200 - 60y + 65y = 4300
5y = 4300 - 4200
5y = 100
y = 100/5
y = 20 <=== the small boxes weigh 20 lbs
x + y = 70
x + 20 = 70
x = 70 - 20
x = 50 <== and the large boxes weigh 50 lbs
