Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is [] Please helppp!!
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Answer:
7. inverse relationship; equation: y = 16/x
8. no relationship; no equation
Step-by-step explanation:
The attachment shows the support for the conclusions. The relationship can be chosen from those offered by looking at differences, ratios, or products of y-values for sequential x-values.
- linear: constant differences
- exponential: constant ratios
- inverse: constant products
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<h3>7.</h3>In the first problem, we note that the relationship between y-values varies inversely as the relationship between x-values: when x goes up by a factor of (n+1)/n, the value of y goes down by its inverse factor: n/(n+1). That same relationship is observed by noting that the product of x and y is a constant, 16.
relationship: inverse
y = 16/x
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<h3>8.</h3>As we looked at the table, we thought this might be an exponential function. Each y-value seemed to be twice the one before—until we got to x=5. As x went from 4 to 5, the y-value increased by a factor of 16, not 2. This means there is no simple relationship between x and y, and no simple equation that will describe the sequence of y-values.
By graphing the function, we can see that we have 3 real solutions and 2 non-real solutions.
<h3>How many real and nonreal solutions does the equation have?</h3>
To check this, we need to graph the equation and see how many times it intersects the x-axis.
Because the degree is 5, we know that there are 5 solutions in total.
Now if we look at the graph, we can see that it intersects the x-axis on 3 points, so there are 3 real solutions. And because there are 5 solutions in total, we conclude that the other 2 solutions are non-real.
So we have 3 real solutions and 2 non-real solutions.
If you want to learn more about polynomials:
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