A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit surv
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Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:
and
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
Answer:
<D = 82°
<E = 49°
<F = 49°
Step-by-step explanation:
This is an isosceles triangle because two of the sides are the same length which means the 2 bottom angles are the exact same which means we can set them equal to each other to solve for it.
Point (-2 , 4) lies in the 2nd quadrant
Point (3 , -1) lies in the 4th quadrant
Point (-1 , 0) lies on the negative part of the x-axis
Point (1 , 2) lies in the 1st quadrant
Point (-3 , -5) lies in the 3rd quadrant
Step-by-step explanation:
Let us revise the signs of the coordinates in each quadrant
- x and y coordinates are positive in the 1st quadrant
- x-coordinate is negative and y-coordinate is positive in the 2nd quadrant
- x and y coordinates are negative in the 3rd quadrant
- x-coordinate is positive and y-coordinate is negative in the 4th quadrant
- The general point on the positive part of x-axis is (x , 0), and on the negative part of x-axis is (-x , 0)
- The general point on the positive part of y-axis is (0 , y), and on the negative part of y-axis is (0 , -y)
Now let us check the points
Point (-2 , 4) ⇒ red point
∵ x = -2 and y = 4
∵ x-coordinate is negative and y-coordinate is positive
∴ Point (-2 , 4) lies in the 2nd quadrant
Point (3 , -1) ⇒ blue point
∵ x = 3 and y = -1
∵ x-coordinate is positive and y-coordinate is negative
∴ Point (3 , -1) lies in the 4th quadrant
Point (-1 , 0) ⇒ green point
∵ x = -1 and y = 0
∵ x-coordinate is negative and y-coordinate is zero
∴ Point (-1 , 0) lies on the negative part of the x-axis
Point (1 , 2) ⇒ purple point
∵ x = 1 and y =2
∵ x and y coordinates are positive
∴ Point (1 , 2) lies in the 1st quadrant
Point (-3 , -5) ⇒ black point
∵ x = -3 and y = -5
∵ x and y coordinates are negative
∴ Point (-3 , -5) lies in the 3rd quadrant
<em>Look to the attached graph for more understand</em>
Learn more:
You can learn more about the four quadrant in brainly.com/question/9381523
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