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ra1l [238]
3 years ago
8

Find all solutions to the equation:

Mathematics
1 answer:
crimeas [40]3 years ago
7 0

Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5

That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n

The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.

Note: The variable n can be any integer.

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Solve for x: 4(x+5)=3(x-2)-2(x+2)
Zina [86]

Answer:

x = -10

Step-by-step explanation:

Solve the equation by simplifying according to PEMDAS. Then use inverse operations to solve.

4(x+5) = 3(x-2) -2(x+2)

4x + 20 = 3x - 6 - 2x - 4

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7 0
3 years ago
Select the values that make the inequality y≥2y≥2 true.
ExtremeBDS [4]

9514 1404 393

Answer:

  {2, 2.001, 2.01, 2.1, 3, 5, 7, 10}

Step-by-step explanation:

The symbol ≥ means "greater than or equal to", so any values 2 or greater will make the inequality true. From your list, those are ...

  2 2.001 2.01 2.1 3 5 7 10

3 0
2 years ago
Ok this is like not helpful but i did this i past my math class
Tema [17]

Answer:

Step-by-step explanation:

6 0
3 years ago
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Can someone please explain this to me
ki77a [65]

Answer:

What part do you need explained?

Step-by-step explanation:

7 0
3 years ago
Find the amount of simple interest:I=PxRxT<br><br> $1,600 at 3% for 1 year
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