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Rudiy27
3 years ago
5

the domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values excpet 2. what ar

e the restrictions on the domain of (u•v)(x)?
Mathematics
1 answer:
liubo4ka [24]3 years ago
8 0

Answer:

(-\infty, 0) \cup (0,2) \cup (2,\infty)

Step-by-step explanation:

Remember that the domain of the product of functions is the intersection of domains, therefore when you intercept them you get the following interval.

(-\infty, 0) \cup (0,2) \cup (2,\infty)

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3 years ago
Identify the domain of the given function f(x)=1/x+1 +5
Oduvanchick [21]
The domain of a function is the set of values of x for which a value of y exists. In this case, the only way that a value of y would not exist is for a denominator to equal to zero. If this function is f(x) = 1/(x+1) + 5, then we must find the values of x for which the denominator (x+1) = 0, which is at x = -1.
Therefore the domain is all real numbers except x = -1. In interval notation this can be written as (-infinity, -1), (-1, infinity).
5 0
3 years ago
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A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape....
frosja888 [35]

Answer:

About 41.5%

Step-by-step explanation:

<em>Given:</em>

<em>A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.</em>

<em>To Find:</em>

<em>What is the probability that both grapes are red?</em>

<em>Answer choices:</em>

<em>about 39.7%</em>

<em>about 41.5%</em>

<em>about 42.5%</em>

<em>about 44.5%</em>

<em>Solution:</em>

<em>Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .</em>

<em>As the red grapes are 15..</em>

<em>Thus,</em>

<em>The probability of choosing a red grape the first time is 15/23.</em>

<em>Because out of the total 23 grapes only 15 were red grape.</em>

<em>The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice</em>

<em>Hence, the probability of choosing or eating two red grapes will be :</em>

<em>15/23×14/22</em>

<em>=105/253</em>

<em>=0.415</em>

<em>= 41.5%</em>

<em>Therefore, the probability that both grapes are red is about 41.5%</em>

5 0
2 years ago
Deidre does not think exercise makes a difference in weight loss when trying to lose weight. She gets two random samples of the
melamori03 [73]

Answer = c

Step-by-step explanation:Since the medians are approximately the same they lost on average around the same amount regardless of exercise. Notice that the range of those with exercise is smaller though so they were more consistent in the amount of weight lost.

7 0
3 years ago
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NARA [144]

Answer:

6/5

Step-by-step explanation:

2/5*3=2/5*3/1=6/5

3 0
3 years ago
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