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jeyben [28]
3 years ago
12

True or False?: To make a sketch of any rational function whose numerator is a number and whose denominator is a factored polyno

mial, use the following rule of thumb.
The function has a vertical asymptote at every x-value where its denominator is zero, and the function is always negative between two asymptotes.

Mathematics
2 answers:
gogolik [260]3 years ago
6 0

Answer:false

Step-by-step explanation:

sergejj [24]3 years ago
5 0
The question is for any rational function. I give one example in picture below. There we can see that first part of the "rule" is true. we indeed have vertical asymptotes at every x value where denominator is zero in this case x = 3 and x = 1. but second part of the rule is not true. we can see that if we inverse x ( we have factor that looks like a - x we get positive function between asymptotes.

Answer is False

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1st and 4th answers are correct.
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What is the ratio of 15 to 21
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Ratio: 15:9

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The perimeter of a rectangle is 50 inches. The length of the rectangle is 10 inches. Which
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Answer:15

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Mr. Chang’s class has 28 students, StartFraction 4 Over 7 EndFraction of whom are girls. Which equation shows how to determine t
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Answer:

Okay, so we know a number of students and the amount of girls as a bracket. So what we have to do now is multiply them with each other.

28 *4/7 = 16

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28-16=12 boys

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Step-by-step explanation:

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3 years ago
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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
Whitepunk [10]

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

4 0
3 years ago
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