Answer:
They believed in a system owned and run by the individual
Step-by-step explanation:
In the early 1900's the majority of the Americans rejected the Marxist ideology, and they saw it as usurpation of their country and its foundations. The majority of the Americans favored the capitalism, and they saw their country as the country of opportunities where everyone can achieve everything if the person is smart enough and works hard enough. The Marxism suggested the total opposite of it, that everyone should be equal, have the same earnings, there's no prosper on a career level, so for the Americans was not attractive, and we can comfortably say that they made the right choice considering what happened in the countries that adopted this ideology.
Answer:
6.75 × 10^10
Step-by-step explanation:
Answer:
-8x - 22
Step-by-step explanation:
Step 1: Define
g(x) = -8x - 3
g(2) is x = 2
Step 2: Find g(2)
g(2) = -8(2) - 3
g(2) = -16 - 3
g(2) = -19
Step 3: Find g(x) + g(2)
-8x - 3 + -19
-8x - 3 - 19
-8x - 22
System:
y ≤ -x + 4
y >
x
Notes:
1. inequalities are expressed in slope-intercept form. y = mx + b
2. the second inequality uses the greater than inequality symbol rather than the greater or equal to symbol due to the broken line.
3. All points in the shaded region will satisfy both inequalities. Point outside the shaded region will not satisfy both inequalities.
The <u>correct answer</u> is:
B) A 90° counterclockwise rotation about the origin, followed by a reflection across the x-axis, followed by a translation 8 units right and 1 unit up.
Explanation:
The coordinates of the <u>points of the pre-image</u> are:
(3, 1)
(3, 4)
(5, 7)
(6, 5)
(6, 2)
The coordinates of the <u>points of the image</u> are:
(7,-2)
(4,-2)
(1,-4)
(3,-5)
(6,-5)
A 90° counterclockwise rotation about the origin negates the y-coordinate and switches it and the x-coordinate. Algebraically,
(x,y)→(-y,x).
When this is applied to our points, we get:
(3, 1)→(-1, 3)
(3, 4)→(-4, 3)
(5, 7)→(-7, 5)
(6, 5)→(-5, 6)
(6, 2)→(-2, 6)
A reflection across the x-axis negates the y-coordinate. Algebraically,
(x, y)→(x, -y).
Applying this to our new points, we have:
(-1, 3)→(-1, -3)
(-4, 3)→(-4, -3)
(-7, 5)→(-7, -5)
(-5, 6)→(-5, -6)
(-2, 6)→(-2, -6)
A translation 8 units right and 1 unit up adds 8 to the x-coordinate and 1 to the y-coordinate. Algebraically,
(x, y)→(x+8, y+1).
Applying this to our new points, we have:
(-1, -3)→(-1+8,-3+1) = (7, -2)
(-4, -3)→(-4+8,-3+1) = (4, -2)
(-7, -5)→(-7+8,-5+1) = (1, -4)
(-5, -6)→(-5+8,-6+1) = (3, -5)
(-2, -6)→(-2+8,-6+1) = (6, -5)
These match the coordinates of the image, so this is the correct series of transformations.
