Answer:
300
Step-by-step explanation:
Because of PEMDAS (Order of Operations), you would do the exponent first.
So, 3(x)^2 and 3(100)
Then you get 300
Hope this helps!
Answer:
1.) 7th degree trinomial
2.) 5th degree binomial
Step-by-step explanation:
The degree of a term of a polynomial is the sum of the exponents of all the variables of that term. The degree of a polynomial is the same as the term with highest degree. Remember that a plain variable has degree 1. FOr example, 5x is a term of first degree because x is the same as x^1, so its degree is 1.
1.) m^5n^2 +mn^2 + n^6
Look at each term:
m^5n^2: degree = 5 + 2 = 7
mn^2: degree = 1 + 2 = 3
n^6: degree = 6
The highest degree of any term is 7, so the degree of the polynomial is 7.
The polynomial has 3 terms, so it's a trinomial.
Answer: 7th degree trinomial
2.) 12a^3b + 9a^2bc^2
Look at each term:
12a^3b: degree = 3 + 1 = 4
9a^2bc^2: degree = 2 + 1 + 2 = 5
The highest degree of any term is 5,so this is a 5th degree polynomial.
The polynomial has two terms, so it's a binomial.
Answer: 5th degree binomial
If you are looking to get it into standard form, you distribute the 5 to get 5a+10b
Answer:
<em>The dimensions of the area will be 8 ft x 40 ft</em>
Step-by-step explanation:
<u>Area and Perimeter</u>
The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows


The dog trainer has 96 ft of fencing to cover a
rectangular area. This means that


A system of equations is formed

We divide the last equation by 2

solve for w

Replacing in the first equation

Operating and arranging


We have two possible answers

Which gives us

In any case, the dimensions of the area will be 8 ft x 40 ft