Answer:
Step-by-step explanation:
We have been given that an object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seconds. We are asked to find the cosine function that can be used to model the height of the object.
We know that standard form of cosine function is 
, where,
|A| = Amplitude,
Period = 
,
C = Phase shift,
D = Vertical shift.
Since distance between maximum and minimum is 4, therefore, amplitude will be half of it, that is, 
.
Since objects gets back to its maximum value in every 3 seconds, therefore, period of the function is 3 seconds. We know that period is given by , therefore, we can write 
, therefore, 
.
We haven't been given any information about phase and mid-line, we can assume the values of C and D to be zero
.
Therefore, our function required function would be .
The value of the digit 2 in 9.28 is 2/10 because the 2 is in the tenths place
Answer:
(1,-2)
Step-by-step explanation:
The solution is (1,-2) because that's where the the lines cross over each other. The x in the equation is what you move by, remember rise over run. The second number is your starting point, so -3 and positive 3 in this case.
The solution interval for x is x ∈ (-1/4 , ∞)
An inequality shows the relationship of a non-equal comparison between two numbers or mathematical expressions.
Here, we are given two inequalities
x/4 > -1 and -4x - 4 < -3
Let us take the first equation
x/4 > -1
⇒ x > 4(-1)
x > -4
Now, the second equation
-4x - 4 < -3
-4x < -3 + 4
-4x < 1
Now since we are dividing both sides by a negative number, that is 4, the sign of the inequality will be reversed,
x > 1/-4
x > -1/4
Thus, we get x > -4 and x > -1/4
This means that all values of x greater than -1/4 will satisfy.
Thus, x ∈ (-1/4 , ∞)
Learn more about inequalities here-
brainly.com/question/25275758
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