Answer: D. A number line with a closed circle on 6 and shading to the right
Step-by-step explanation:
Here, the given inequality,
2(x− 1) ≤ 10
2x - 2 ≤ 10
2x ≤ 10 + 2
2x ≤ 12
x ≤ 6 or 6 ≥ x
The value of x is all numbers less than 6 including 6.
⇒ A number line with a closed circle on 6 and shading to the left.
Thus, by the above explanation,
Only option D 'A number line with a closed circle on 6 and shading to the right' is not a way to represent the solution of the inequality.
Answer:
(-10, 3)
Step-by-step explanation:
You can do it algebraically (substitution or elimination) or graphically. I will be using substitution to solve this.
Step 1: Rewrite 2nd equation
2y = 6
y = 3
Step 2: Plug in <em>y</em>
7x + 8(3) = -46
7x + 24 = -46
7x = -70
x = -10
Put it in coordinates and we have our final answer!
Answer:
(6, -3)
Step-by-step explanation:
The actual coordinates are x = -6 and y = 3
If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.
So the final x-coordinate is - (-6) = 6
And the final y-coordinate is - (3) = -3
So the coordinates will be (6, -3).
Answer:
B
Step-by-step explanation:
Pick any point on both triangles and compare the points to see how they changed.
C to F went from (0,4) to (0,2) went down by 1/2
and it's a dilation of the bigger one of 1/2 so it's B
Answer:
x=2
Step-by-step explanation:
-3(2-x)=4-(3x+1)
-6+3x=4-3x-1
-3/3=-6x/3
2=x