Ethan writes 1/6 of a page in 1/12 of a minute. How much time does it take him to write a full page?
2 answers:
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The <em>speed</em> intervals such that the mileage of the vehicle described is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h]
<h3>How to determine the range of speed associate to desired gas mileages</h3>In this question we have a <em>quadratic</em> function of the <em>gas</em> mileage (g), in miles per gallon, in terms of the <em>vehicle</em> speed (v), in miles per hour. Based on the information given in the statement we must solve for v the following <em>quadratic</em> function:
g = 10 + 0.7 · v - 0.01 · v² (1)
An effective approach consists in using a <em>graphing</em> tool, in which a <em>horizontal</em> line (g = 20) is applied on the <em>maximum desired</em> mileage such that we can determine the <em>speed</em> intervals. The <em>speed</em> intervals such that the mileage of the vehicle is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h].
To learn more on quadratic functions: brainly.com/question/5975436
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Answer:
Please refer to the attached graph for the graph of linear inequality:
Step-by-step explanation:
Method to draw graph of inequality:
<u>1. First of all replace the inequality sign with equality.</u>
Now the equation is:
Now, find point and plot them.
Let us put x = 0, we get y = -1. So one point is <em>(0, -1)</em>
Let us put y = 0, we get x = 2. So one point is <em>(2,0)</em>
Now, plot both the point and join with straight line on xy coordinate axis.
2. Now, try to find a random point and put in the inequality.
If the point satisfies the inequality shade the region moving from the line towards that point.
For example:
Taking a point (4, 2)
Putting in the inequality:
So, (4, 2) satisfies the inequality.
Now, shade the region moving from the line towards the point (4,2).
We get the shaded region as shown in the attached figure in the answer area.
