<=> cosx = +1/2 or cosx = -1/2;
cosx = +1/2 => x = +π/3 + 2kπ, where k is an integer or x = -π/3 + 2kπ, where k is an integer;
cosx = -1/2 => x = +2π/3 + 2kπ, where k is an integer or x = -2π/3 + 2kπ, where k is an integer;
A. Not a function since we have the points (-1,0) and (-1,3). The x value repeats while the y values are different. Plugging in x = -1 leads to multiple outputs, which shows we don't have a function. To get a better visual, you can plot the points. You'll see that the points form a vertical line. Therefore, this graph fails the vertical line test.
B. This is a function. All of the x values are different. The points, when graphed, pass the vertical line test. In other words, its impossible to draw a vertical line through any two points on the graph. Any x input here leads to exactly one y output.
C. This is not a function. Like choice A, we have repeated x values. In this case we have (4,6) and (4,7). The x value x = 4 repeats itself leading to multiple outputs y = 6 and y = 7
D. This is also not a function. The x value x = 0 repeats itself. The graph fails the vertical line test.
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Answer: Choice B
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Answer:
b
Step-by-step explanation:
4.75 rounds to 5 because the 7, 83 rounds to 80 because of the 3. 80*5=400
Answer:
The intersection is .
The Problem:
What is the intersection point of and ?
Step-by-step explanation:
To find the intersection of and , we will need to find when they have a common point; when their and are the same.
Let's start with setting the 's equal to find those 's for which the 's are the same.
By power rule:
Since implies :
Squaring both sides to get rid of the fraction exponent:
This is a quadratic equation.
Subtract on both sides:
Comparing this to we see the following:
Let's plug them into the quadratic formula:
So we have the solutions to the quadratic equation are:
or .
The second solution definitely gives at least one of the logarithm equation problems.
Example: has problems when and so the second solution is a problem.
So the where the equations intersect is at .
Let's find the -coordinate.
You may use either equation.
I choose .
The intersection is .
Probabilities are used to determine the chances of events
The probability that a randomly selected person with multiple jobs is a male or married is 0.782
<h3>How to determine the probability</h3>
The given parameters are:
Sample size, n = 655
Male = 381
Married = 299
Male and Married = 168
The number of those that are male or married is calculated as:
Male or Married = Male + Married - Male and Married
So, we have:
Male or Married = 381 + 299 - 168
Evaluate
Male or Married = 512
The probability is then calculated as:
p = 512/655
Evaluate
p = 0.782
Hence, the probability that a randomly selected person with multiple jobs is a male or married is 0.782
Read more about probability at:
brainly.com/question/25870256