oliwia0765
25.05.2021 •
Mathematics
Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = –4 to x = 0. An image of a graph
Solved
Show answers
More tips
- S Science and Technology Colliders: How They Work and Why They Matter...
- S Science and Technology Exploring Our Galaxy: How Many Planets are in the Milky Way?...
- W Work and Career Everything You Need to Know About MBA Programs...
- B Business and Finance What is the Difference Between Visa and Visa Gold?...
- C Computers and Internet The Twitter Phenomenon: What it is and How to Use it...
- S Sport When and Where Will the 2014 World Cup be Held?...
- S Sport When is the Champions League final?...
- C Construction and repair How to Choose the Best Underfloor Heating?...
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- A Auto and Moto How to Choose a Car Wash? Tips and Recommendations...
Answers on questions: Mathematics
- M Mathematics There are 7 women and 4 men in a department. They are going to form an organising committee for an event. How many ways can a committee of 4 people be selected if there...
- M Mathematics In a pack of candies, Maria found that for every three blue candies, there were five red ones. Identify the correct list of ratios that compares the red candies to...
- M Mathematics Please help me with acellus...
- M Mathematics Can y’all please help me I hope you have a wonderful day and I would really appreciate if you could answer this question for me!...
- M Mathematics Pam wants to put a banner across her garage door, as shown below, to congratulate her son for his college graduation. The garage door is 12 feet high and 16 feet wide....
- M Mathematics 2865 students participated in a competitive exam. There were 60 rooms in the university. Equal number of students were placed in each room. How many students were not...
- M Mathematics Can you help??????????????????...
- M Mathematics Lupe put $112,000 in a certificate of deposit that gained interest at a rate of 9.5%. How much interest did the account gain after 2 months?...
- M Mathematics Please help me with this...
- M Mathematics Need help quickly! please...
Ответ:
Part A: (12x² +74x + 44) Square units.
Part B: A Second ( 2nd ) Degree Trinomial
Part C: Part A which is the multiplication of 6x + 4) units and (2x + 11) units to find the Area of a rectangle demonstrate closure property because it is the multiplication of two Binomials to give us a second degree Trinomial which is
(12x² +74x+ 44) Square units.
Step-by-step explanation:
Part A: What is the expression that represents the area of the rectangle?
The formula for the Area of a rectangle is given as Length × Breadth
We are told in the question that rectangle has sides of (6x + 4) units and (2x + 11) units
Therefore, Area of the rectangle is calculated as:
(6x + 4) units × (2x + 11) units
6x(2x +11) + 4(2x + 11)
12x² + 66x + 8x + 44
(12x² +74x+ 44) Square units.
Part B: What are the degree and classification of the expression obtained in Part A?
A polynomial can be defined as a mathematically expression that consists of one or more than one algebraic terms in it. One of the characteristics of a polynomial is the degree is carries. The degree of a polynomial can be defined as one of algebraic terms that carries the highest exponential values.
For example
4x⁴ + 2x³ + 5x² + 1 : The degree of this polynomial is 4 because the algebraic term with the highest exponential values is "4x⁴".
A polynomial can be classified into 3 types based on the number of terms that it contains.
a) A monomial : = 7x
b) A Binomial = 6x² + 4
c) A Trinomial = 3x³ + 2x + 1
Hence, for the above question, the degree and classification of the expression obtained in Part A which is
(12x² +74x + 44) Square units is that it is a second (2nd ) degree Trinomial. This is because it consists of 3 terms and the algebraic terms with the highest exponential values is 12x².
Part C: How does Part A demonstrate the closure property for polynomials?
Closure property for polynomials is one of the characteristics that a polynomial shows when it undergoes either Addition, Subtraction or Multiplication in other to give us another polynomial.
Therefore, in the question above,
Part A which is the multiplication of 6x + 4) units and (2x + 11) units to find the Area of a rectangle demonstrate closure property because it is the multiplication of two Binomials to give us a second degree Trinomial which is
(12x² +74x+ 44) Square units.