ANSWER
STEP-BY-STEP EXPLANATION
Given information
To estimate the above expression, we need to find the factors of the denominators to get the LCM
Factors of 12 = 2 x 2 x 3
Factors of 8 = 2 x 2 x 2
From the above factors, the LCM is 2 x 2 x 2 x 3 = 24
Therefore, LCM is 24
Hey there!
Let's go through all of our options.
A) It's defintely not curved; it's written in slope intercept form and is indeed a straight line.
B) Yes, the graph is a straight line. Although it's at an angle, it has no curves or flaws, and is completely straight.
C) The graph is not vertical. It has a y intercept and slope and therefore isn't. That's because it has a rate of change, and it crosses the y axis at some point depending on the slope, or rise over run. Vertical lines really don't have that.
D) Yes, the graph is a function. This is because it does not have two x values for one y, and does not fail the straight line test, which states that you can place a straight line anywhere on the graph and it can only go through one point.
E) This is false. If we put in -5 as our input, we add 1 and get -4, which is a negative output. Your output here depends on the input you put in, and the sign usually remains considering it's +1.
F) This graph does not pass through the origin. This is because the origin has a point at 0,0 and since it's x+1, it would be 0,1 instead because your output is adding one to that 0.
Hope this helps!
Is there a diagram with this question?
-x+2 > 1
-x+2+x > 1+x .... add x to both sides
2 > 1+x
x+1 < 2
x+1-1 < 2-1 ... subtract 1 from both sides
x < 1
After solving for x, we get x < 1
To graph this, plot an open circle at 1 on the number line and shade to the left of this value. The open circle indicates that 1 is not part of the solution set.
If your teacher requires you to graph this on an xy grid, then draw a vertical line through 1 on the x axis. Make this vertical line a dashed line. Then shade the entire region to the left of this dashed line. Any point in this shaded region will have an x coordinate that is less than 1. The dashed line acts like the open circle. The dashed line tells the reader "any point on this dashed line is not part of the solution set"
The lateral area of the cube is 36 sq units
<u>Explanation:</u>
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Given:
Perimeter of the base of the cube = 12 units
Base of the cube has 4 sides
So, the perimeter of the base = 4a
where,
a is the length of one side
Thus,
4a = 12 units
a = 3 units
Lateral surface area of the cube = 4a²
A = 4 X (3)²
A = 36 sq units
Therefore, the lateral area of the cube is 36 sq units
