Answer:
The expression represents the radius of the soap dispenser.
The expression represents the height of the soap dispenser.
Step-by-step explanation:
The question says that the soap dispenser is in the form of a cylinder.
Now, we find the volume of the cylinder by using the given formula:
, where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.
Now, the volume is the product of radius squared and the height, if they both are functions of , then the function to represent the volume must have cubic exponents.
Since, the radius is squared in the formula and it is a function of that implies that the function of radius must have square as the exponent of , therefore, the expression will represent the radius of the soap dispenser and the expression represents the height of the soap dispenser.
Answer: x^3y^4 is the lowest common denominator.
Step-by-step explanation: To get both expressions to have a common denominator, multiply both of them to get them equal. For the first expression, multiply the numerator and denominator by y^3: 3y^3/x^3y^4
The second expression should be multiplied by the numerator and denominator by x^2: 7x^2/x^3y^4
(Add exponents when multiplying them) Now both expressions have common denominators.
Answer: 119
Step-by-step explanation:
we will replace x and y with the given values x=3, y=-2
-3(3^3)(-2)-4(3)(-2)^2+5= -3(27)(-2)-4(12)+5=
=119
The radicand of a quadratic is b^2-4ac.
If it is greater than zero, there are two real solutions
If it is equal to zero, there is one real solution
If it is less than zero, there are no real solutions (though there are two imaginary solutions)
In this case the discriminant is 256-2160 so it is less than zero.
Therefore there are no real solutions, though there are two imaginary solutions, specifically (16±i√-1904)/18
Answer:
166.67
Step-by-step explanation: