When a value causes a denominator in a fraction to be equal to zero, this fraction is undefined. In mathematics, division by zero is not permitted, so any fraction that has a denominator of zero does not have a valid numerical value, and thus is considered undefined.
What happens when a value causes a denominator in a fraction to be equal to zero?
There are infinite solutions.
This fraction is undefined.
This value is a solution to the equation.
The value of the equation becomes zero.
11 answers
What happens when a value causes a denominator in a fraction to be equal to zero?
There are infinite solutions.
This fraction is undefined.
This value is a solution to the equation.
The value of the equation becomes zero.
There are infinite solutions.
This fraction is undefined.
This value is a solution to the equation.
The value of the equation becomes zero.
When a value causes a denominator in a fraction to be equal to zero, this fraction is undefined. Division by zero is not allowed in mathematics, so any fraction with a denominator of zero does not have a meaningful or valid value. Therefore, the correct answer is "This fraction is undefined."
What value makes the equation -5 = 4 - 3x/4 - 3x undefined?
To determine the value that makes the equation
\[ -5 = \frac{4 - 3x}{4 - 3x} \]
undefined, we need to look at the denominator of the fraction. The fraction becomes undefined when the denominator is equal to zero.
In this case, the expression \(4 - 3x\) appears in both the numerator and the denominator. For the fraction to be undefined, we set the denominator equal to zero:
\[ 4 - 3x = 0 \]
Now, solve for \(x\):
-
Subtract 4 from both sides:
\[-3x = -4\]
-
Divide by -3:
\[x = \frac{-4}{-3} = \frac{4}{3}\]
Thus, the value \(x = \frac{4}{3}\) makes the fraction undefined.
Solve the equation for the variable k: 30/k +1 = 4
To solve the equation
\[ \frac{30}{k} + 1 = 4, \]
follow these steps:
- First, isolate the term with \(k\) by subtracting 1 from both sides:
\[ \frac{30}{k} = 4 - 1. \]
This simplifies to:
\[ \frac{30}{k} = 3. \]
- Next, multiply both sides by \(k\) to eliminate the fraction:
\[ 30 = 3k. \]
- Now, divide both sides by 3 to solve for \(k\):
\[ k = \frac{30}{3} = 10. \]
Thus, the solution for \(k\) is
\[ \boxed{10}. \]
What is the value for the variable f in 17/3f - 1 = 1
To solve the equation
\[ \frac{17}{3f} - 1 = 1, \]
follow these steps:
- Add 1 to both sides to isolate the fraction:
\[ \frac{17}{3f} = 1 + 1. \]
This simplifies to:
\[ \frac{17}{3f} = 2. \]
- Multiply both sides by \(3f\) to eliminate the fraction:
\[ 17 = 2 \cdot 3f. \]
This simplifies to:
\[ 17 = 6f. \]
- Divide both sides by 6 to solve for \(f\):
\[ f = \frac{17}{6}. \]
Thus, the value for the variable \(f\) is
\[ \boxed{\frac{17}{6}}. \]
the options are
3
4
5
6
3
4
5
6
To find the value of \( f \) in the equation
\[ \frac{17}{3f} - 1 = 1, \]
we can follow these steps carefully again, considering the answer options provided.
- Rearrange the equation:
\[ \frac{17}{3f} = 1 + 1, \]
which simplifies to:
\[ \frac{17}{3f} = 2. \]
- Multiply both sides by \( 3f \):
\[ 17 = 2 \cdot 3f. \]
- This simplifies to:
\[ 17 = 6f. \]
- Next, divide both sides by 6:
\[ f = \frac{17}{6}. \]
Now let's approximate \(\frac{17}{6}\):
\[ \frac{17}{6} \approx 2.83. \]
Among the provided options (3, 4, 5, 6), the closest integer value is 3.
Thus, if you are asked to select the closest answer from the given options, the answer would be:
\[ \boxed{3}. \]
2 answers