The graphs below have the same shape. What is the equation of the bluegraph?
2 answers:
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Answer:
81x^4+216x^3+216x^2+96x+16
Step-by-step explanation:
Answer:
Step-by-step explanation:
You need to use vertex form of a quadratic to solve this.
Consider the vertex to be
Another way of representing a quadratic is in "vertex form":
Now all you have to do is solve for a. You know that the vertex is and you have know the point of
. Now, all you have to do is plug in these values and solve for a.
Now you know the equation is , but you need it in quadratic form. All you have to do is solve is distribute the 6:
You get:
a = 6
b = 0
c = 2
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The y-intercept represents the average cost, in dollars per pint, of all the raspberries Ethan bought. Therefore, option B is the correct answer.
Given that, Ethan bought 3 pints of raspberries for $5 per pint and x pints of blueberries for $3 per pint.
The average is (15 + 3x)/(3+x) per pint.
We need to find what quantity will be represented by the y-intercept of the graph.
<h3>How to find the y-intercept of the graph?</h3>Since the y-intercept always has a corresponding x-value of 0, replace x with 0 in the equation and solve for y. On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.
Now, the graph of y=(15 + 3x)/(3+x)is given below.
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (−5,0)
y-intercept(s): (0,5)
So, the y-intercept represents the average cost, in dollars per pint, of all the raspberries Ethan bought.
Therefore, option B is the correct answer.
To learn more about y-intercept visit:
brainly.com/question/14180189.
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