To solve this, you need to isolate/get the variable "x" by itself in the inequality:
2(1 - x) > 2x Divide 2 on both sides
1 - x > x Add x on both sides to get "x" on one side of the inequality
1 - x + x > x + x
1 > 2x Divide 2 on both sides to get "x" by itself
or 
(x is any number less than 1/2)
[Another way you could've solved it]
2(1 - x) > 2x Distribute 2 into (1 - x)
(2)1 + (2)(-x) > 2x
2 - 2x > 2x Add 2x on both sides
2 - 2x + 2x > 2x + 2x
2 > 4x Divide 4 on both sides to get "x" by itself
Answer: Refer to picture
Explanation: as the weeks go on, the number of sales increase. This means it has to be positively skewed, so graphs with the dots lower as it moves to the right can be knocked out
This leaves us with 2, since the rate of change in sales isn’t linear (22 -> 44 ->66) and is instead quicker at the start, it is not the straight graph, must be the curved one
Answer:
Step-by-step explanation:
-5 - 2(3x - 4) = 3(x - 4) + 6
-5 - 6x + 8 = 3x - 12 + 6
-6x + 3 = 3x - 6
3 = 9x - 6
9 = 9x
1 = x
Question:
The image of the question is attached below.
Answer:
x = 40
Solution:
Given ΔVDG 
ΔVNG.
DG = 207, NQ = 138, GQ = 60, QV = x
In two triangles are similar, then the measures of the corresponding sides are in proportional to each other.
Do cross multiplication, we get
Divide by 207 on both sides of the equation, we get
⇒ x = 40
⇒ QV = 40
Hence the value of x is 40.
The original width would be 19 and the original length would be 32.
Let w be the width. Then 2w-6 would be the length. However, after cutting a 3-inch square from each corner, both the width and length left over to fold into a box would be 6 inches smaller; thus the dimensions would be w-6 and 2w-6-6 or 2w-12.
Since the section cut out is 3 inches long, 3 will be the height of the box.
Volume is found by multiplying the length, width and height of the box; thus we have:
1014=(w-6)(2w-12)(3)
We multiply the binomials and have:
1014 = [w*2w-12*w-6*2w-6(-12)](3)
1014 = (2w²-12w-12w+72)(3)
1014 = (2w²-24w+72)(3)
1014 = 6w² - 72w + 216
When solving a quadratic equation, we want it set equal to 0. Subtract 1014 from each side:
1014-1014 = 6w² - 72w + 216 - 1014
0 = 6w² - 72w - 798
We will use the quadratic formula to solve this:
Since we cannot have a negative number for a measurement, 19 has to be the width; then 2(19)-6 = 32 would be the length.
