Answer: Choice B
(x-1)(x^3+x^2+5x+6)
==========================================
Explanation:
The 1 in the upper left box means that x = 1 is a root of the original polynomial.
So this means x-1 is a factor of the original polynomial.
This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.
-----------------
The 0 in the last position of the bottom row shows we got a remainder of 0.
Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.
The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6
-------------------
So we know that (x-1) and (x^3+x^2+5x+6) are factors
Meaning that,
x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)
You can confirm this by expanding out the right hand side (distribution rule).
Answer:
1. x=y−2
2. -1/2y + 4
Step-by-step explanation:
Answer:
no there not
Step-by-step explanation:
Answer:
ŷ = -1.618X + 215.636
191
Step-by-step explanation:
From the graph:
The data below could be obtained to produce the best fit line :
Week, x :
0
1
2
3
4
5
6
7
8
9
10
Weight :
216
214
213
210
210
207
206
202
203
202
200
Using a linear regression calculator. The best fit line obtained is :
ŷ = -1.618X + 215.636 ; which shows decrease in weight has the number of weeks grow.
Carters weight 15 Weeks into his diet :
X = 15
ŷ = -1.618(15) + 215.636
= 191.366
= 191 (nearest whole number)
Let's look over the meaning of each option:
Theocracy: Theo- means that it is relating to religion. For example, Theology is the study of religion. This is a system where religious leaders control the country, but it is NOT an economic system.
Monarchy: Monarchy is when there is a king, queen, emperor, etc. It is not an economic system either.
Fundamentalism: A political system that strictly abides by a set of fundamentals. Someone who wants a constitution to be the highest form of law is a fundamentalist. However, this is also not an economic system.
Socialism: WINNER WINNER CHICKEN DINNER! Socialism is a system similar to communism where the government controls the economy and there is communal ownership. This is also the only option which is both a political and economic system.
TL;DR: The answer is Socialism.
