Help with Another Pre Calculus Question
1 answer:
The last equation h(x) = 2x+4/x+1.
<h3>What is a graph?</h3>The pictorial representation of quantities and how the increase or decrease in one affects the other.
Analysis:
The graph cuts the x-axis and y-axis at (-2, 0) and(0, -4) respectively.
gradient of the curve = y2 - y1/x2 - x1 = -4-0/0--2 = -4/2 = -2.
The equation with a gradient equal to -2 is, h(x) = 2x+4/x+1
differentiating the equation by quotient rule,
u = 2x+4, du/dx = 2, v = x+1 dv/dx = 1
dy/dx = =
When x = -2, dy/dx = -2
In conclusion, 2x+4/x+1 is the equation for the curve above.
Learn more about parabolic curves: brainly.com/question/12896871
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Answer: Joe has initial amount of $12 ( when he played no game).
Step-by-step explanation:
Given: Joe took $12 to the arcade. Each game cost $.50 to play.
This situation can be modeled with the equation
Here,
Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.
Since y-intercept gives the initial value of the function when x=0.
To find y-intercept , we out x=0 in funtion , we get
So , y-intercept of this function is at y=12.
Meaning of the y-intercept in the terms of this problem :
Joe has initial amount of $12 ( when he played no game).
If this is a graph, I attached the file.
The minimum is (122.222, 3277.778)
The y intercept is (0,10000)
The graph: .45x^2-110x+10000
The minimum is (122.222, 3277.778)
The y intercept is (0,10000)
The graph: .45x^2-110x+10000