Answer:
- Fernando’s response is incorrect because he inappropriately applied the Rational Root Theorem.
- Dennis’ response is incorrect. According to the Fundamental Theorem of Algebra, the polynomial p(x) cannot have six roots, or zeros, because it is only of degree 3.
- Emily’s response is correct because she correctly factored the polynomial, and correctly used the definition of zeros to reach her answer.
Step-by-step explanation:
The Rational Root Theorem offers a list of possible rational roots. Each needs to be tested to see if it is an actual rational root. Fernando and Dennis made inappropriate assumptions about what the Rational Root Theorem allowed them to conclude.
The best deal would be "three for the price of two" since buying one and 25 percent off would be 17.5 plus 10 for a third one is 27.5 compared to 20 for 3
Answer:
Base = 32 cm
Height = 25 cm
Step-by-step explanation:
Area of a triangle can be calculated as:

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:
Base = Height + 7
Lets use B to represent base and H to represent height
B = H + 7
The equation of area can be stated as:

This is a quadratic equation which can be solved using a quadratic equation as shown below:

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.
Therefore, the length of base will be 25 + 7 = 32 cm.
Answer:
300 %
Step-by-step explanation:
Length of the larger cube =4 cm
So volume 
Length of the smaller cube = 1 cm
Volume of the smaller cube 
So total number of smaller cube 
Surface area of the larger cube 
Surface area of the 64 smaller cube 
So percentage increase in surface area
%
A) A=500(1+0.015)^t
b)800=500(1.015)^t
800/500=1.015^t
t=log(800/500)/log(1.015)
t=31.6 years