Answer:
The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y
Step-by-step explanation:
The product of the two expressions can be expressed mathematically as;
(2x +y) (5x -y +3)
To obtain the product of these expressions, we simply expand the brackets as follows;
2x(5x -y +3) + y(5x -y +3)
= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y
= 10x^2- 2xy + 5xy + 6x - y^2 + 3y
= 10x^2+ 3xy + 6x - y^2 + 3y
The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y
Answer:
-13
Step-by-step explanation:
Given are two vectors v and w.
v=(6,7,-3) and
w=(-7,5,2)
We are to find the dot product of v.w
We have
Dot product is obtained by multiplying corresponding pairs and adding them
Here we have
v.w=6(-7)+7(5)-3(2)
=-13
45 cookies will serve 15 students.
You would multiply 15 by 2 that would give you 30, therefore you multiply 45 by 2 which will be 90.
90 cookies will serve 30 students