Answer:
-23x^3+20x^4+25x^2+84x-84
Step-by-step explanation:
1 Expand by distributing sum groups.
4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)
2 Expand by distributing terms.
12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)
3 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)
4 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84
5 Remove parentheses.
12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84
6 Collect like terms.
(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84
7 Simplify.
-23x^3+20x^4+25x^2+84x-84
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Answer:
No
Step-by-step explanation:
The only arithmetic sequence of side lengths that will form a right triangle is (3, 4, 5) or some multiple of that, such as (9, 12, 15).
Sides of length 10, 11, 12 cannot form a right triangle.
Answer:
See explanation
Step-by-step explanation:
A mathematical model refers to a mathematical function that describes natural phenomena.
Models are used to approximate natural phenomena hence they are not really exact representations of reality. Thus mathematical models are inherently imperfect and so is our understanding of natural phenomena represented by these mathematical models.
The mathematical parameters used in models to represent real processes are uncertain since they are determined from experiment or represent more than one process.
Lastly, the initial and the boundary conditions in a model may not be explicitly established.
The scientific notation answer is 3.904 x 10^7