One tray of granola bars cut into 4 equal size pieces. A second tray was cut into 12 equal size pieces, and a third was cut into
2 answers:
4 is really 2 * 2
12 is reallly 2 * 2 * 3
8 is really 2 * 2 * 2
now, the 2 * 2, is repeated in the factoring, so we use it once only. We still have to account for the extra 2 and 3.
therefore, the LCD will be 2 * 2 * 2 * 3, or 24.
after all the slicing in each tray, all pieces will be equal in length in each tray, and there'll be 24 of them in each tray.
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Answer:
belongs to the line
. Please see attachment below to know the graph of the line.
Step-by-step explanation:
From Analytical Geometry we know that a line is represented by this formula:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that ,
and
, then we clear slope and solve the resulting expression:
Then, we conclude that point belongs to the line
, whose graph is presented below.
Given functin is :
We know that the domain of the expression is all real numbers except where the expression is undefined. In given function, there is no real number that makes the expression undefined. Hence domain is all real numbers.
Domain: (-∞,∞)
Range is the set of y-values obtained by plugging values from domain so the range will also same.
Range: (-∞,∞)
If we increase value of x then y-value will also increase so that means it is an INCREASING function. You can also verify that from graph.
It crosses x and y-axes both at the origin
Hence x-intercept=0 and y-intercept=0
Graph is not symmetric about y-axis hence it can't be EVEN
Graph is not symmetric about origin so it is ODD.
There is no breaking point in the graph so that means it is a Continuous function.
There is no hoirzontal or vertical or slant line which seems to be appearing to touch the graph at infinity so there is NO asymptote.
END behaviour means how y-changes when x approaches infinity.
From graph we can see that when x-approaches -∞ then y also approaches ∞.
when x-approaches +∞ then y also approaches +∞.
