Travis lives 195 miles from Dallas. On a normal trip, it takes 180 minutes to drive from his house to Dallas. What is Travis' av
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By using an online graphing calculator, the overall equation represented by this scenario is plotted in the image attached below.
<h3>How to determine the graph?</h3>Based on the information provided about this company with respect to its delivery and total number of miles to be covered, we would assign variables as follows:
- Let y represent same-day delivery.
- Let x be the total number of miles.
Next, we would translate the word problem into an algebraic equation by using an inequality:
y > x/2 - 3
Also, we would determine the intercepts as follows:
When x = 0, we have;
y = 0/2 - 3
y = -3.
y-intercept = (0, -3).
For the x-intercept, we have:
When y = 0, we have;
0 = x/2 - 3
x/2 = 3
x = 6.
x-intercept = (6, 0).
By using an online graphing calculator, the overall equation represented by this scenario is plotted in the image attached below.
Read more on inequalities here: brainly.com/question/18898454
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The polar equation r = - 4 · cos θ is equivalent to the equation of the circle (x + 2)² + y² = 2², whose radius is 2 and center is (h, k) = (- 2, 0).
<h3>How to transform a polar expression into its rectangular form</h3>Polar and rectangular forms are related by this relation: (x, y) → (r · cos θ, r · sin θ), where r is the radial distance with respect to the origin and θ is the angle in standard position. We can use this fact to change the given expression into its rectangular form:
r = - 4 · (x / r)
r² = - 4 · x
x² + y² = - 4 · x
y² = - (x² + 4 · x)
y² - 4 = - (x² + 4 · x + 4)
y² - 4 = - (x + 2)²
(x + 2)² + y² = 4
(x + 2)² + y² = 2²
In a nutshell, the polar equation r = - 4 · cos θ is equivalent to the equation of the circle (x + 2)² + y² = 2², whose radius is 2 and center is (h, k) = (- 2, 0).
To learn more on polar equations: brainly.com/question/27341756
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