For the questions below, enter your answers using interval notation. You can use "U" to represent a "union", e.g. enter "(1,2) U
1 answer:
1) Given that
We deduce that this represents a parabola with a vertex at (0.4) opening upwards.
x can assume any real value.
Therefore, the domain of f = (-∞,∞)
Since it opens upwards with a vertex at (0,4), y cannot be less than 4
Range = [4,∞)
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2)
Because x is in the denominator, x cannot equal 0
Additionally, the first term represents the square root of x, hence x must be positive
Thus, the domain is [0,∞)
As x increases, y also rises without limits.
Consequently, the range = (-∞,∞)
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0.072 divided by 345
=
approximately 0.00020
=
A dilation represents a transformation 
, centered at point O with a scale factor of k, which cannot be zero. This transformation keeps O fixed while transforming any other point P into its image P'. Points O, P, and P' are collinear.
In a dilation of
, the scale factor 
maps the original figure to its transformed image in such a way that the distances from O to points of the image are half the distances from O to the original figure. Consequently, the image's size is also half that of the original figure.
Thus, <span>If represents the dilation of △ABC, then the properties of the image △A'B'C'</span> are:
<span>AB is parallel to A'B'.
The distance from A' to the origin is half that from A to the origin.</span>
In a dilation of
Thus, <span>If
<span>AB is parallel to A'B'.
The distance from A' to the origin is half that from A to the origin.</span>
Answer:
The term 6x should actually be 6x²
Step-by-step-explanation:
The illustration referenced, which depicts the multiplication of the trinomial with the binomial, is provided in the image below.
To identify where Chin's multiplication went wrong and to establish the correct expression, we'll analyze each multiplication performed. Therefore, we have:
3x*x² = 3x³
3x*2x = 6x² (the mistake occurred here, as Chin recorded it as 6x in the chart)
3x*4 = 12x
2*x²=2x²
2*2x = 4x
2*4 = 8
Thus, the term 6x should indeed be corrected to 6x²
