Graphing/Slopes (Easy points!!) (ASAP) (URGENT) (Please check my other questions)
1 answer:
Answer:
The statement is incorrect because an inverse relationship between y and x would imply that the graph would be a downward curved graph whose slope changes rather than linear which has constant slope (see image).
Best to express this situation as:
There is a linear relationship between y and x with a negative constant slope. The keyword here is constant since the slope is the same in a linear relationship
Step-by-step explanation:
An inverse relationship exists between y and x when y is proportional to the reciprocal of y
This would be expressed in the form ∝
As x decreases , y increases or vice-versa. It is often expressed in equation form as or
where k is a constant and whose graph is curved in nature. The slope is changing for the range of x values not constant as would be the case for a linear graph
All we can say about the data is that there is a linear relationship between y and x with a negative constant slope
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Answer: There are no real solutions.
Step-by-step explanation:
We have the equation:
x = y^2
y = x + 3/2
To solve this, we can start by noticing that x is already isolated in the first equation, then we can replace it in the second equation to get:
y = y^2 + 3/2
And now we can rewrite this as:
y^2 - y + 3/2 = 0
This is a quadratic equation, and the solutions can be calculated with Bhaskara's equation, the solutions are:
We have a negative number inside the square root, this means that the solutions are complex numbers.
Then we can conclude that the system of equations has no real solutions.