(-5x ⁵+14)-(11x ²+1+11x ⁵)
Like terms: -5x ⁵-11x ⁵ = -16x ⁵
Like terms also: 14-1 = 13
Simplified all together: -16x ⁵ - 11x ²+ 13
(Always put highest degree first)
Answer:

Step-by-step explanation:
This is a multiplication problem.
We want to multiply 
We factor to get:

We now cancel out the common factors to get:

We now multiply the numerators and the denominators separately to get.
This simplifies to 
Therefore the simplified expression is 
Answer:
25/64
Step-by-step explanation:
ratio of perimeters = 15/24 = 5/8
ratio of areas = square of ratio of perimeters
ratio of areas = (5/8)^2 = 25/64
Answer:
Step-by-step explanation:
A direct variation equation is of the form
y = kx,
where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.
We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is
d = kw and we need to find k in order to have the model for dosing the animals.

Divide both sides by 1/30 to get k alone.
and

Our model then is

This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.
Answer:


Step-by-step explanation:
+ means we are approaching from the right
- means we are approaching from the left
We are given that if x < 5, it is x² + 5x + 4
So to find
we would plug in 5 into that piecewise function part:
5² + 5(5) + 4 = 54
We would be approaching y = 54 if we approach from the left.
We are given that x > 5, it is -4x + 3
So to find
we would plug in 5 into that piecewise function part:
-4(5) + 3 = -17
We would approach y = -17 if we approached from the right.