We only know the value of <span>f(5)</span>
therefore we need to figure out what we would put in for x in <span>f(<span>1/3 </span>x)</span> to get 5
set
<span><span>1/3 </span>x=5</span><span>x=15
</span>now if <span>x= 15</span> then <span>f(<span>1/3 </span>x)
= f(<span>1/3</span>×15)
= f(5)=8
</span><span>and so
</span><span><span>1/4</span>×8−2=2−1=1
</span>therefore the "corresponding point" is <span><span>(15,1)</span></span>
Answer:
7.8 units separate the points A and B.
Step-by-step explanation:
Going from B to A, x increases by 6 (this is the horizontal side of the triangle formed by vertices A and B), and y increases by 5. Applying the Pythagorean Theorem, we get
d = √(6² + 5²), or √(61, which is approximately 7.8, the desired distance.
The function you're given is in point-slope format, which is one of the easiest ones to graph. The basic form of the format is;
y=ax+b
Where a is the slope and b is the y-intercept.
As you can see, in y=-13+3x, the positions of a and b are switched, but it is essentially the same question.
From here we can tell that the y-intercept is -13, meaning that there is a point on the line that rests at (0,-13)
To find the other points, we can do rise-over-run using the slope of 3 given to us. What happens here is that for every 1 unit you go to the right (positive), you rise 3 units up.
For example, if we perform this on the y-intercept (0,-13):
(0+1, -13+3)
(1,-10)
With these two points, you can graph the line representing the temperature.
First off, you should see whether the data is qualitative or quantitative.
-Quantitative is the number that represents counts or measurements.
-Qualitative (aka Categorical) typically labels or non-numeric entries
So, and example of some qualitative graphs are:
-Bar Graphs: usually comparison of things
-Two Way Tables: typically a survey with the comparison of data
-Circle Graph (Pie Chart): percentages being compared from different categories
-Frequency Tables: shows how often something appears
Some examples of quantitative graphs are:
-Box and Whiskers: shows the low, high, median of 1st quartile, median, median of 3rd quartile, and the high of data
-Line Graph: shows the change of something over a period of time
-Histogram: compares the data using frequency intervals, like 1-5, 6-10, etc.
-Scatterplot: shows the correlation of the data
-Stem and Leaf: first number goes in stem, remaining parts of number goes in leaf depending on what the first number it was, and key to help
So if you're trying to link the graph to something in your life, the graph may vary depending on what the data is. If you're going height over the years you've lived, a line graph would be best. It really depends what in your life you are doing, so I hope I provided enough information to help you out. Hope this helps!
The area of this rectangle:
120yd × 85yd = 10200yd²
