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Molodets [167]
3 years ago
13

Justine is trying to read the most pages of all students in her Language Arts class by the end of the year. The table shows the

pages Justine read, and the time she read them in.
Which of the following would be the best equation for the function of the values for Justine's reading?
A. h = 40p
B. p = 7h
C. 40p = h
D. p = 40h

Mathematics
2 answers:
Oliga [24]3 years ago
8 0
D is the best answer i think
mezya [45]3 years ago
5 0
It would be B because you would have to find how much pages you can read in the much of hours hope this helps
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Read 2 more answers
At which points are the tangents drawn to the ellipse x 2 + y 2 = [ a ] x + [ a ] y parallel to
In-s [12.5K]

The given equation of the ellipse is x^2 + y^2 = 2 x + 2 y

At tangent line, the point is horizontal with the x-axis therefore slope = dy / dx = 0

<span>So we have to take the 1st derivative of the equation then equate dy / dx to zero.</span>

x^2 + y^2 = 2 x + 2 y

x^2 – 2 x = 2 y – y^2

(2x – 2) dx = (2 – 2y) dy

(2x – 2) / (2 – 2y) = 0

2x – 2 = 0

x = 1

 

To find for y, we go back to the original equation then substitute the value of x.

x^2 + y^2 = 2 x + 2 y

1^2 + y^2 = 2 * 1 + 2 y

y^2 – 2y + 1 – 2 = 0

y^2 – 2y – 1 = 0

Finding the roots using the quadratic formula:

y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1

y = 1 ± 2.828

y = -1.828 , 3.828

 

<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828) and (1, 3.828).</span>

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3 years ago
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