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natali 33 [55]
3 years ago
9

Explain why solving the equation - 3n - 4 = 2 is different from solving the

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

Answer:

Step-by-step explanation:

First get the answer to -3n - 4 = 2

-3n - 4 + 4 = 2 + 4

-3n = 6

n = 6/-3

n = -2

That answer is the only one that is permitted. It is the only one that completely satisfies the equation.

Now when you do the inequality, look what happens.

-3n - 4 < 2              Add 4 to both sides.

-3n-4+ 4 < 2+4

-3n < 6                  Now there are a bunch of ways (2) to solve this.  

                            No matter which way you do it, the arrow will change.

-3n/-3 > 6/-3

n > - 2

That means that any number that is greater than - 2 will satisfy the inequality.

So n = 0 will work. Even n = - 1 will work. Anything bigger than -2 will work. The equation does not provide that kind of latitude.

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Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
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3rd option

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Vedmedyk [2.9K]
5. Given the equation y = (1/4) cos[(2pi/3)*theta]:
5a. For the general equation y = a cos(bx), the period is given by 2pi/b. In this equation, b = 2pi/3, so this means that 2pi/b = 2pi/(2pi/3) = 3. Therefore, the period of this equation is 3, and the cosine wave repeats itself every 3 x-units.
5b. For the general equation y = a cos(bx), the amplitude is given by a. Therefore the amplitude is a = 1/4, and this means that the cosine wave's range is from -1/4 to 1/4 for all values of x.
5c. The equation of the midline is y = 0. This represents the average value over the wave. This is determined by adding the highest and lowest values of the range and taking the average, in this case, 1/4 + (-1/4) = 0, and 0 / 2 = 0. Another way to do this is using the general equation y = a cos(bx) + c, where the midline's equation is y = c. In this case, there is no value of c in the given, implying that c = 0, and the midline is y = 0.

6. Let the horizontal distance be x. Then tan42 = h/x, and h = x tan42. Then using the Pythagorean theorem: 3280^2 = h^2 + x^2
3280^2 = x^2 (tan42)^2 + x^2
3280^2 = x^2 [(tan42)^2 + 1]
x = 2437.52
Therefore, h = x tan42 = 2,194.75 ft.

5 0
4 years ago
Read 2 more answers
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