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1 answer:
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:
The correct option is D) .
Step-by-step explanation:
Consider the provided cubic function.
We need to find the equation having zeros: Square root of two, negative Square root of two, and -2.
A "zero" of a given function is an input value that produces an output of 0.
Substitute the value of zeros in the provided options to check.
Substitute x=-2 in .
Therefore, the option is incorrect.
Substitute x=-2 in .
Therefore, the option is incorrect.
Substitute x=-2 in .
Therefore, the option is incorrect.
Substitute x=-2 in .
Now check for other roots as well.
Substitute x=√2 in .
Substitute x=-√2 in .
Therefore, the option is correct.