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Pachacha [2.7K]
3 years ago
11

How many solutions does the equation sin(5x) = 1/2 have on the interval (0,2pi]?

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
8 0
Mark Brainliest please

Answer :

sin(5x) = 1/2 has two solutions for 5x, but if you add 2pi,4pi,6pi,8pi to the solutions and then divide by 5, you get 10 solutions for x.
Black_prince [1.1K]3 years ago
4 0

Answer:

1/2 has two solutions for 5x

Step-by-step explanation:

But if you add 2pi, 4pi, 6pi, 8pi to the solutions then divide by 5, you get 10 solutions for x

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If f(x)=2^x-1 and g(x)= x^2-1, determine the value of (f o g)(3)
zimovet [89]

Answer: 4

Step-by-step explanation:

( f o g ) (3) means f(g(3)) so...

First: plug 3 into g(x) = x^ (2-1)

3^ (2-1) is 3^1 = 3

Next: plug 3 into f(x)= 2^(x-1)

2^(3-1) is 2^(2) > 2×2 = 4

3 0
3 years ago
Determine whether the value of each power is positive or negative.
Leona [35]

Answer:

Positive: (-3)4,(-1)2,(-4)8

Negative:(-10)5,(-2)9,(-6)3

Step-by-step explanation:

4 0
3 years ago
What is the equation of a line that passes through (-2,1) and is parallel to y=3x-4
Rama09 [41]
If a line is parallel to another, the slopes of both lines are the same. So for this problem, you can infer that the slope of the line you're trying to find is 3.

To find the actual equation of the line, you can use the given coordinates and plug them into the point slope form:

y - y1 = m(x - x1)

plug the given y coordinate into y1 and the given x coordinate into x1. m is the slope, so plug in 3 for m.

y - 1 = 3(x +2) Use distributive property for right side of equation

y - 1 = 3x + 6 add 1 to both sides to cancel -1 on left side of equation and isolate y

Equation of line: y = 3x + 7


3 0
3 years ago
What is the coefficient of the term 12p12p12, p in the expression 12p+ 9q12p+9q12, p, plus, 9, q?
klio [65]

Answer:

the coefficient is 12

Step-by-step:a numerical or constant quantity placed before and multiplying the variable in an algebraic expression  explanation:

5 0
3 years ago
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Kaylis [27]

Answer:

x≥3 but without the line under the symbol

Step-by-step explanation:

8 0
2 years ago
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