<h3>Answer:</h3>
(x, y) ≈ (1.49021612010, 1.22074408461)
<h3>Explanation:</h3>
This is best solved graphically or by some other machine method. The approximate solution (x=1.49, y=1.221) can be iterated by any of several approaches to refine the values to the ones given above. The values above were obtained using Newton's method iteration.
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Setting the y-values equal and squaring both sides of the equation gives ...
... √x = x² -1
... x = (x² -1)² = x⁴ -2x² +1 . . . . . square both sides
... x⁴ -2x² -x +1 = 0 . . . . . polynomial equation in standard form.
By Descarte's rule of signs, we know there are two positive real roots to this equation. From the graph, we know the other two roots are complex. The second positive real root is extraneous, corresponding to the negative branch of the square root function.
Answer:
Step-by-step explanation:
The student currently has $50 and plans to save $15 every month.
Let x represent the number of months that the student will save enough money to buy the microscope.
Let y represent the amount that the student saves after x months.
The function that represents the amount y (in dollars) of money that the student saves after x months will be
y = 50 + 15x
The 50 remains constant because she has already saved it
Divide both sides by x + b to get m by itself. The equation will look like this: m = 
Super simple
So he wants to be three pounds away from his ideal weight (168)
Which means he can either be 3 pounds under or 3 pounds over
So his min is 165, his max is 171
Ok so assuming the board only has 4 spaces to land on (A,B,C,D) all we need to do is weight the probability,
1/4 x 1/4 x 1/4 x 1/4 x 1/4 = 1/1024
To solve I put the number of favorable outcomes over the number of total outcomes, in this case we had 1 favorable outcome each time and a constant of 4 possible outcomes.
