Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5)x.
2 answers:
Answer:
Option 2 is graph after reflection across x-axis.
Step-by-step explanation:
We have been given the function:
We have reflection rule along x-axis as:
Hence, the given function when reflected across x-axis becomes:
You can see the attachment for the graph of the function after reflection in the attachment.
Option 2 is graph after reflection across x-axis.
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Given that the perimeter is 16ft and width is 5 ft,
Distribute 2:
Take away 10 from both sides:
Evaluate the right hand side:
Divide by 2 on both sides:
Answer:
a) 23 °C
b) 5.81 m² (2 dp)
Step-by-step explanation:
<h3><u>Part (a)</u></h3>This set of data is presented as a <u>Dot Plot</u>.
The frequency (how often a data value occurs) is represented by the number of dots above each data value.
For example, in this dot plot, there are 3 dots above the data value 21 °C and so this means that there are three of this particular data value in the set of data.
To find the mean, we need to multiply each data value by its frequency, add them up, then divide by the total frequency.
This set of data is presented as a <u>stem and leaf diagram</u>, where the units and tenths are split. The units column is the 'stem' and the tenths become the 'leaf'.
Therefore, the first row of this stem and leaf diagram represents 2 data values: 4.3 and 4.8
To find the mean, sum the data values, then divide by the total frequency.
To find the total frequency, simply count the number of values in the leaf part of the diagram.
Data values = 4.3, 4.8, 5.1, 5.1, 5.2, 5.5, 5.7, 6.6, 6.9, 7.3, 7.4
Total frequency = 11