When we say that a function is continuous between x = -3 and x = 0 it means that it exists for all values of x in between -3 and 0. Let's take a look at each choice individually:
A: f(x) = (-x + 1)/(x + 2)
Now we don't actually need to know what the graph of this function looks like to see which values it is continuous for, instead we should look at which values of x will make this function undefined - in this case that would be x = -2. The reasoning behind this is that a number divided by 0 would be undefined, so when we search for which value of x would make the denominator of the equation 0, we get:
x + 2 = 0
x = -2
Since x = -2 is within the interval [-3, 0] we cannot say the function is continuous over this interval
B: f(x) = -2/(x + 1)
Using the same method as above we get:
x + 1 = 0
x = -1
x = -1 is again within the interval [-3, 0] and so the function is not continuous within this interval
C: f(x) = 3x/(x - 2)
x - 2 = 0
x = 2
x = 2 is outside the interval of [-3, 0] and so the function is continuous within this interval and C is the correct answer.
Just for the sake of it however we can look at D as well:
D: f(x) = 1/(2x + 1)
2x + 1 = 0
x = -1/2
-1/2 is within [-3, 0] and so D is not continuous over this interval
If you need more steps, just ask!
Answer:
23 stsstxtxychuvuvuvcy is the answe
Answer:
0.2297 ;
78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over if the fifth driver? (5 points) (10 points)
Step-by-step explanation:
p = 0.78
1 - p = 0.22
P(x = 3)
Using the binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 3) = 5C3 * 0.78^3 * 0.22^2
P(x = 3) = 10 * 0.78^3 * 0.22^2
P(x = 3) = 0.2297
Percentage is a way to describe a part of a whole. The production of the footwear that will be in 2016 will be 1.65 billion.
<h3>What is Percentage?</h3>
A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
It is given that the production of footwear in 2006 was 1.8 billion which will be reduced by 8.4%, therefore, the number of footwear that will be produced in 2016 is 91.6%(100%-8.4%) of the production in 2006. Therefore, the production of footwear in 2016 will be
Hence, the production of the footwear that will be in 2016 will be 1.65 billion.
Learn more about Percentage:
brainly.com/question/6972121