Answer:
C
Step-by-step explanation:
Graph C has a negative slope, just like the equation, and the y-intercept is at the point (0,1), just like the equation states.
Answer:
D.
Step-by-step explanation:
The problem is clearly addition, so we can rule out B and C. Associative property is the movement of the parentheses, whereas commutative property is the movement or reorganization of the numbers. The parentheses moved in this problem, so it is associative. I suggest reviewing these properites, they come in handy later and are good to know :)
Option C:
is the product of the rational expression.
Explanation:
The given rational expression is 
We need to determine the product of the rational expression.
<u>Product of the rational expression:</u>
Let us multiply the rational expression to determine the product of the rational expression.
Thus, we have;

Let us use the identity
in the above expression.
Thus, we get;

Simplifying the terms, we get;

Thus, the product of the rational expression is 
Hence, Option C is the correct answer.
Given:
Last year 80 students signed up for a summer trip to Washington, D.C.
This summer 50 students have signed up to go.
To find:
The percent decrease in the number of students.
Solution:
We have,
Students in last year = 80
Students in this year = 50
Now,





Therefore, the correct option is B.
Answer:
729x¹⁵ + 1000
This is a case of a sum of cubes.
729 is the cube of 9
1000 is the cube of 10
x¹⁵ is the cube of x⁵
A sum of perfect cubes can be factored into
(a + b) (a² - ab + b²)
(9x⁵+ 10) ((9x⁵)²-(9x⁵)(10) + 10²)
(9x⁵ + 10) (81x¹⁰ - 90x⁵ + 100) THIS IS THE FACTORIZATION
9x⁵ (81x¹⁰ - 90x⁵ + 100) + 10(81x¹⁰ - 90x⁵ + 100)
729x¹⁵ - 810x¹⁰ + 900x⁵ + 810x¹⁰ - 900x⁵ + 1000
729x¹⁵ - 810x¹⁰ + 810x¹⁰ + 900x⁵ - 900x⁵ + 1000
729x¹⁵ + 1000
Step-by-step explanation: