The music teacher has a list if 128 students who have signed up for music classes. The music teacher can register 6 students in
2 answers:
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<h2>Answer:</h2>
A hyperbola is the set of all points in a plane such that the difference of whose distances from two distinct fixed points called foci is a positive constant. In this problem, we have the following equation:
What if we divide the whole equation by ? Well the result is:
The standard form of the equation of the hyperbola given that the vertex lies on the origin is:
SO THE VERTICES ARE:
Calculating the foci:
SO THE FOCI ARE:
Answer: y=4
Step-by-step explanation: First of all, we have to know what a consistent and independent system is.
Consistent and independent- If a consistent system has exactly one solution, and is independent, then it's consistent and independent
Let's graph the equation y=3x-2 first. The y intercept of the equation is -2 and the slope of the equation is 3. Lets plot the y intercept first, then use rise/run for the slope. We end off with the image of the first one I have attached to this answer.
Next, we can see if that we draw a straight arrow to one of the points in the equation, we will get a independent and consistent system. I picked y=4, but you can pick almost any point that lies within the line.
This will grant only one solution, which will give us what we need. So let's graph y=4. Finally, we have our consistent and independent system! I've attached another file to support my answer.
So the final answer to your question is y=4, the solution to the system is (2,4), as you can see by the last image.
<em><u> Give me feedback on my answer. Tell me if I'm lacking explanation about anything. Please help me, you can also help others by informing me what else I need to be specific on.</u></em>
Answer:
Step-by-step explanation:
Essentially, begin by flipping the x and y terms:
x = (1 - 2y)^2 + 5
Then, solve for y:
Because we know there is only 1 y-value for any given x-value, the inverse of the given function is also a function.