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Ilya [14]
3 years ago
14

If y = sin (ax + b), where a & b are constants, which of these is true

Mathematics
1 answer:
Ilya [14]3 years ago
3 0

Step-by-step explanation:

We have y = sin(ax + b).

=> dy/dx = a * cos(ax + b)

=> d²y/dx² = a[a * -sin(ax + b)] = a² - a * sin(ax + b).

Therefore d²y/dx² = a² - ay,

d²y/dx² - a² + ay = 0.

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Suppose f(x)=x^2 and g(x) =7x^2 which statement best compares the graph of g(x) with the graph f(x)
Verizon [17]

Answer:

The graph g(x) is the graph f(x) vertically stretched by a factor of 7.

Step-by-step explanation:

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Since we are modifying the variable <em>a</em>, we are dealing with vertical stretch (a > 1) or vertical shrink (a < 1). Since a > 1 (7 > 1), we are dealing with a vertical stretch by a factor of 7.

8 0
3 years ago
8. Which of the following does NOT deseribe a
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B. a decimal that does not terminate and does

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7 0
2 years ago
Your office parking lot has a probability of being occupied of 1/3. You happen to find it unoccupied for nine consecutive days.
olasank [31]

Answer:

0.4

Step-by-step explanation:

Let X be the random variable that represents the number of consecutive days in which the parking lot is occupied before it is unoccupied. Then the variable X is a geometric random variable with probability of success p = 2/3, with probability function f (x) = [(2/3)^x] (1/3)

Then the probability of finding him unoccupied after the nine days he has been found unoccupied is:

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6 0
3 years ago
Express 2.65 as a mixed number in the lowest terms
zmey [24]

Answer:

2 13/20

Step-by-step explanation:

8 0
3 years ago
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krek1111 [17]
If you want to find the solutions for this you have to factor it.  Since it's a second degree polynomial, you'll have 2 solutions.  Factoring this using the quadratic formula, you'll get factors of (5x-8)(3x-4).  Solving these for x you get x = 8/5 and x = 4/3.
6 0
3 years ago
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