Answer:
y = 3/2
Step-by-step explanation:
5(2y - 1) - 2(3y) = 1
First we use distributive property:
10y - 5 - 6y = 1
because 5 × 2y = 10y
and -2 × 3y = -6y
Now we combine the like terms:
4y -5 = 1
because 10y - 6y = 4y
Now we have to send the -5 to the other side. (when we send it to the other side it becomes positive because right now it is negative)
4y = 1 + 5
Again we combine the like terms:
4y = 6
(because 5 + 1 = 6)
Now we have to send the 4 to the other side because we need to get the y value. (when we send it to the other sidr it will be divided)
y = 6/4
and we simplify:
y = 3/2
And we cannot simplify or do anything else. So that is the answer.
Hope that helped!
Answer: The answer will be created shortly.
The Zero Product Property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0. When the product of factors equals zero, one or more of the factors must also equal zero. Once the polynomial is factored, set each factor equal to zero and solve them separately.
<h3>Answer: A. 5/12, 25/12</h3>
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Work Shown:
12*sin(2pi/5*x)+10 = 16
12*sin(2pi/5*x) = 16-10
12*sin(2pi/5*x) = 6
sin(2pi/5*x) = 6/12
sin(2pi/5*x) = 0.5
2pi/5*x = arcsin(0.5)
2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n
2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n
x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)
x = 5/12+5n or x = 25/12+5n
these equations form the set of all solutions. The n is any integer.
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The two smallest positive solutions occur when n = 0, so,
x = 5/12+5n or x = 25/12+5n
x = 5/12+5*0 or x = 25/12+5*0
x = 5/12 or x = 25/12
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Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.
The answers are MK and PY and AH.
