Answer: 2x³-10x²+12x or 2x(x²-5x+6)
Step-by-step explanation:
(p*q)(x) means p(x) and q(x) multiplied together.
(2x²-4x)(x-3)
2x³-6x²-4x²+12x
2x³-10x²+12x
You can also factor this by taking out a 2x.
2x(x²-5x+6)
Answer:In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry. It states that, in two-dimensional geometry
Answer:
B. Step 2 uses the associative property, and step 3 uses the commutative property.
Step-by-step explanation:
The associative property lets you group terms for addition any way you like. It appears that in Step 2, the grouping is ...
4 + (1/6 + 3) + 5/6
The commutative property lets you change the order of any pair of terms involved in addition. It appears that in Step 3, the order of the terms within the group has been swapped.
4 + (3 + 1/6) + 5/6
_____
<em>Comment on associative and commutative properties</em>
What applies to terms in addition applies to factors in multiplication.
The water level increases by 0.608 meters per minute when the water is 3.5 m deep
<h3>How to determine the rate?</h3>
The given parameters are:
- Radius, r = 3
- Height, h = 7
- Rate in, V' = 4.3m^3/min
The relationship between the radius and height is:
r/h = 3/7
Make r the subject
r = 3h/7
The volume of a cone is;

This gives

Expand

Differentiate

Make h' the subject

When the water level is 3.5.
We have:

Also, we have:
V' = 4.3
So, the equation becomes

Evaluate the products

Evaluate the quotient
h' = 0.608
Hence, the water level increases by 0.608 meters per minute
Read more about volumes at:
brainly.com/question/10373132
#SPJ1
Volume is length x width x height. It measures how much space it can hold inside of a shape.