Rewrite the equation 5/2x − 8 − 1 = 9 as two equations joined by “and.”
(5/2x - 8) - 1 = 9 and 5/2x - 8 = 10
What happens when a value causes a denominator in a fraction to be equal to zero?(1 point)
Responses
This value is a solution to the equation.
There are infinite solutions.
The value of the equation becomes zero.
This fraction is undefined.
This fraction is undefined.
What value makes the equation −5 = 4 − (3x/4−3x) undefined
The value that makes the equation undefined is when the denominator of the fraction becomes zero. In this case, the denominator is (3x/4 - 3x). To find the value that makes it zero, we can set the denominator equal to zero and solve for x:
3x/4 - 3x = 0
Multiplying both sides of the equation by 4 to eliminate the fraction:
3x - 12x = 0
-9x = 0
Dividing both sides by -9:
x = 0
Therefore, the value of x that makes the equation undefined is x = 0.
What value makes the equation −5 = 4 − (3x/4−3x) undefined
4/3
−3/4
3/4
−4/3
Solve the equation for the variable k: (30/k)+1=4.(1 point)
1/10
6
1/6
10
To solve the equation (30/k) + 1 = 4 for the variable k, we can follow these steps:
1. Subtract 1 from both sides of the equation:
(30/k) = 3
2. Multiply both sides of the equation by k to eliminate the fraction:
(30/k) * k = 3 * k
30 = 3k
3. Divide both sides of the equation by 3 to isolate k:
30/3 = 3k/3
10 = k
Therefore, the solution for the variable k in the equation (30/k) + 1 = 4 is k = 10.
What is the value for the variable f in (17/3f - 1) = 1?
Rewrite the equation (5/2x − 8) − 1 = 9 as two equations joined by “and.”(1 point)
Responses
(5/2x − 8) − 1 = 9 and x ≠ −4
(5/2x − 8) − 1 = 9 and x ≠ 4
(5/2x − 8) − 1 = 9 and x ≠ 8
(5/2x − 8) = 9 and x ≠ −8