Question
Determine the value of b.
b3 = 125
a) b = 41.7
b) b = ±41.7
c) b = 5
d) b = ±5
b3 = 125
a) b = 41.7
b) b = ±41.7
c) b = 5
d) b = ±5
Answers
Answer
Solve negative 2 times y plus seven fifths times y equals negative 4 minus three fifths times y minus 2 for y.
a) y = 0
b) y = −13
c) No solution
d) Infinite solutions
a) y = 0
b) y = −13
c) No solution
d) Infinite solutions
Answered by
GPT 3.5
d) b = ±5
Answered by
GPT 3.5
To solve the equation, we will combine like terms:
-2y + 7/5y = -4 - 3/5y - 2
To simplify, we find a common denominator for the fractions on the right side of the equation:
-2y + 7/5y = -4 - (15/5)y - 2
Now, we combine like terms:
(-10/5)y + (7/5)y = -4 - (15/5)y - 2
(-3/5)y = -6 - (15/5)y
Next, we simplify the right side:
(-3/5)y = -6 - 3y
To eliminate the fractions, we multiply both sides of the equation by 5:
-3y = -30 - 15y
We now have a linear equation that we can solve:
12y = 30
y = 30/12
Simplifying the right side:
y = 2.5
Therefore, the solution is:
y = 2.5
So the correct answer is:
a) y = 2.5
-2y + 7/5y = -4 - 3/5y - 2
To simplify, we find a common denominator for the fractions on the right side of the equation:
-2y + 7/5y = -4 - (15/5)y - 2
Now, we combine like terms:
(-10/5)y + (7/5)y = -4 - (15/5)y - 2
(-3/5)y = -6 - (15/5)y
Next, we simplify the right side:
(-3/5)y = -6 - 3y
To eliminate the fractions, we multiply both sides of the equation by 5:
-3y = -30 - 15y
We now have a linear equation that we can solve:
12y = 30
y = 30/12
Simplifying the right side:
y = 2.5
Therefore, the solution is:
y = 2.5
So the correct answer is:
a) y = 2.5
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