5(x-3)=3x+5 (solve for x)

Mathematics

1 answer:

OverLord2011 [107]3 years ago

7 0

Answer:

5x-15=3x+5

5x-3x=5+15

2x=20

x=20/2

x=10

Step-by-step explanation:

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Which of the following could be the equation of the function below?

Salsk061 [2.6K]

Answer:

Second option: y = 0.5cos(4*(x+pi/2)) - 2

Step-by-step explanation:

From the format of the figure, we can say that is a cosine function (starts in the maximum value and then goes down).

We can write a generic form of a cosine function:

y = a * cos(bx + c) + d

The period of this generic function is 2pi/b.

In this graph, as the cosine completes 2 periods when x = pi, we know that the period is pi/2, so we can find the value of b:

2pi/b = pi/2

b = 4

Then, the amplitude of the cosine function is 2 (goes from 1 to -1), and in this graph, the amplitude is 1 (goes from -1.5 to -2.5), so as we have half the amplitude, we have that a = 0.5

Now, to find d, we know that a cosine usually have a mean value of 0, and in this graph we see that the mean value is -2, so we have that c = -2.

The value of c represents a shift in the graph. In this case, we have a shift of zero from the original cosine, but as the period is pi/2, we can have any multiple value of pi/2 as a value of d (d = -pi/2, d = 0, d = pi/2, ...)

So the answer is the second option:

y = 0.5cos(4*(x+pi/2)) - 2

7 0

3 years ago

Read 2 more answers

in the figure below, S is the center of the circle. suppose that LK=8, KN=4, JN=2x-6, and NS=10. find the following. X= , PS=

katrin2010 [14]

Answer: X=5

PS=10

Step-by-step explanation:

7 0

3 years ago