Answer:
5 x 3 + 3 divided by 6 = 3
Step-by-step explanation:
The first thing is to find a way to arrange the numbers. Try every operation until you can get the answer. for this case, i put the answer above.
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
The domain of the function in this case will be for when the denominator is different from zero:
3x ^ 2- 3 = 0
3x ^ 2 = 3
x ^ 2 = 3/3
x ^ 2 = 1
x = + / - 1
Therefore the domain of this function are all reals without including x = 1 and x = -1
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points:
Substituting we have:
Thus, the equation is of the form:
We substitute one of the points and find "b":
Finally, the equation is of the form:
Answer:
