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Rashid [163]
2 years ago
13

Please help me with this.

Mathematics
1 answer:
JulijaS [17]2 years ago
3 0

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

#SPJ1

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Is X-1 a factor of x^5-1?
Musya8 [376]

Answer: No

Explanation:

According to factor theorem, if f(x)=0 then x is a factor of the given function or equation.

As x-1 is a factor

We equate x-1=0

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Substituting in x^5-1, we have 1^5-1 =1-1=0.

Hence, it's a factor.

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2 years ago
Can someone help me with #19
AlexFokin [52]

9514 1404 393

Answer:

  38

Step-by-step explanation:

The graph shows all of the sides of the figure aligned with the axes except side ST. Its length can be found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((7 -(-5))² +(-2 -3)²) = √(144 +25) = 13

Then the perimeter is the sum of the side lengths:

  13 + 4 + 12 + 9 = 38

The perimeter of STUV is 38 units.

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