Plz help me with this
1 answer:
Answer: D) 10 sin (πx) - 5
<u>Step-by-step explanation:</u>
The range (maximum - minimum) is 5 - (-15) = 20
The amplitude (A) is range (20) ÷ 2 = 10
The vertical shift (D) is maximum (5) - amplitude (10) = -5
Of the given options, only A & D are candidates. Now we need to decide if it is a cos graph (A) or a sin graph (D). If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin. Thus it is a sin graph and the answer must be option D.
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Answer:
She needs a grade of 71 on her next text.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values in the data-set divided by the number of values.
Tammy has scored 82, 78, and 93 on her previous three tests.
Thus, her grades are 82, 78, 93 and x, in which x is her grade in the fourth test.
There are 4 tests.
What score does she need on her next test so that her average (mean) is 81?
We have to find x when the mean is 81. So
She needs a grade of 71 on her next text.
The value of function f(x) at x = 7 is f(7) = 28
For given question,
we have been given the value of function f(x) at x = 5.
f(5) = 12
We have been given that f'(x) is continuous on 5 and 7
Also,
We need to find the value of f(7)
Since ∀x, f'(x) = f'(x), f is a primitive function of f' .
And f ' is continuous
⇒ [f(7) - f(5)] = 16
⇒ f(7) - 12 = 16
⇒ f(7) = 16 + 12
⇒ f(7) = 28
Therefore, the value of function f(x) at x = 7 is f(7) = 28
Learn more about the function here:
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