16y = 164
y = 164 ÷ 16
y = 10.25
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According to the direct inspection, we conclude that the best approximation of the two solutions to the system of <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)
<h3>What is the solution of a nonlinear system formed by two quadratic equations?</h3>
Herein we have two parabolae, that is, polynomials of the form a · x² + b · x + c, that pass through each other twice according to the image attached to this question. We need to estimate the location of the points by visual inspection on the <em>Cartesian</em> plane.
According to the direct inspection, we conclude that the best approximation of the two solutions, that is, the point where the two parabolae intercepts each other, to the system of two <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)
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The sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176
<h3>How to determine the sum of the series?</h3>
The series is given as:
6 8 10 12 14 16 18 20 22 24 26
The above series is an arithmetic series with the following parameters:
First term, a = 6
Last term, L = 26
Number of terms, n = 11
The sum of the series is calculated using:
This gives
Evaluate
Hence, the sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176
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(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour) = {3001·3600 miles)/(2.92·5280·1 hour) = 91080000 miles/15417.6 hours = 70.05 mph