Answer:

Step-by-step explanation:
According to the Remainder Theorem; when P(y) is divided by y-a, the remainder is p(a).
The first polynomial is :
When p(y) is divided by y-5, the remainder is

When the second polynomial:
is divided by y-5.
The remainder is;


The two remainders are equal;




Answer:
Option OD - 9
Step-by-step explanation:
Given : On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14 patients, respectively, that they assist.
To find : What is the average number of patients per nursing assistant?
Solution :
The average number of patients per nursing assistant is given by the division of sum of number of patients by total number of nursing.
So, 



Therefore, The average number of patients per nursing assistant is 9.
So, Option OD is correct.
Answer:
B.
Step-by-step explanation:
The street sign is composed of two rectangles and 1 triangle.
Painted area = area of triangle + area of rectangle 1 + area of square
✔️Area of triangle = ½bh
b = 15 in.
h = 8 in.
Area of triangle = ½*15*8 = 60 in.²
✔️Area of rectangle 1 = L*W
L = 50 in.
W = 6 in.
Area = 50*6 = 300 in.²
✔️Area of Square = s²
s = 15 in.
Area = 15² = 255 in.²
✅Painted area = 60 + 300 + 225 = 585 in.²