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svp [43]
2 years ago
7

The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete

rmine the speed(s) at which the car gets 9 mpg. Round to the nearest mph.
Mathematics
1 answer:
Whitepunk [10]2 years ago
4 0

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

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2 years ago
Stepping from the embrace, she smoothly extracts the broom from my grip. Which type of phrase is the underlined portion of the s
guajiro [1.7K]

Answer:

A). Participle phrase.

Step-by-step explanation:

'Participle phrases' are defined as the phrases that consist of a participle(present or past) followed by modifiers and their object plus any/or complements. These phrases primarily function as adjectives by providing information about a noun or pronoun in the sentence.

In the given sentence, the underlined portion('stepping from the embrace') is a participle phrase as it begins with a participle('present as it ends with 'ing') followed by the modifier prepositional phrase 'from the embrace'(as an adverb). It is <u>functioning as an adjective as it modifies the pronoun 'she' in the sentence</u>. Thus, <u>option A</u> is the correct answer.

5 0
2 years ago
The rule T1, -4 RO, 180°(x, y) is applied to rectangle KLMN. Which rectangle shows the final image??
fomenos
Let me help you!

Looking at the visual, we can see five figures: KLM, 1, 2, 3, and 4.
Applying t<span>he rule T1, -4 RO, 180°(x, y) to rectangle KLMN - without even solving - just by merely observing, we can say (without a doubt) that the rectangle KLMN will most likely fall in the negative axis.

First rotation: -4 to the left.
Second rotation: -4 to the left.
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Therefore, the rectangle which shows the final image is figure 3 or rectangle 3.</span>
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2 years ago
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At a convention of monsters, 2/5 have no horns, 1/7 have one horn, 1/3 have two horns, and the remaining 26 have three or more h
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x - 92x/105 = 2730/105

and x = 210 monsters
4 0
2 years ago
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