Answer:
Step-by-step explanation:
See attachment for complete question.
We start by solving for the equation of the graph (The graph shows a linear equation)
Represent pencils with x and pen with y
From the graph, we have that:
Solve for slope (m)
The equation is calculated using:
Where
Add 4 to both sides
Now, to the question.
When pencils is 15 implies that
Solving for x, we have:
i.e. Pen = 10
Ratio = x ; y
Convert to fraction
Simplify
Hence,
Answer: The correct answer would be 0.58.
The value of r of a set of data tells us how close the values are to the line of regression of the data. If you add in an outlier, it would make the overall r value of the points further from the line. In other words, it would go further from 1.
In this case, our initial r value was positive, so it makes sense to keep it positive. 0.58 would be the best choice.
Answer: can we be friends I’m homeless and live at the Krusty Krab
Step-by-step explanation:
Okay I think there has been a transcription issue here because it appears to me there are two answers. However I can spot where some brackets might be missing, bear with me on that.
A direct variation, a phrase I haven't heard before, sounds a lot like a direct proportion, something I am familiar with. A direct proportion satisfies two criteria:
The gradient of the function is constant s the independent variable (x) varies
The graph passes through the origin. That is to say when x = 0, y = 0.
Looking at these graphs, two can immediately be ruled out. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations.
This leaves B and C. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear.
This leaves C as the odd one out.
I hope this helps you :)
For this case, what you should see is where the graph cuts the x-axis.
Notice that the graph cuts to the x axis in three different points.
Then the value of x that is in the domain of the function in this case is:
x = 1
For this value of x the function is zero.
Answer:
x = 1
