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.
1 month ago
1 month ago
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.
1 month ago
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."
1 month ago
What value makes the equation -5 = 4 - 3x/4 - 3x undefined?
1 month ago
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 \(x\):
1. Subtract 4 from both sides:
\[-3x = -4\]
2. Divide by -3:
\[x = \frac{-4}{-3} = \frac{4}{3}\]
Thus, the value \(x = \frac{4}{3}\) makes the fraction undefined.
1 month ago
Solve the equation for the variable k: 30/k +1 = 4
1 month ago
To solve the equation
\[
\frac{30}{k} + 1 = 4,
\]
follow these steps:
1. First, isolate the term with \(k\) by subtracting 1 from both sides:
\[
\frac{30}{k} = 4 - 1.
\]
This simplifies to:
\[
\frac{30}{k} = 3.
\]
2. Next, multiply both sides by \(k\) to eliminate the fraction:
\[
30 = 3k.
\]
3. Now, divide both sides by 3 to solve for \(k\):
\[
k = \frac{30}{3} = 10.
\]
Thus, the solution for \(k\) is
\[
\boxed{10}.
\]
1 month ago
What is the value for the variable f in 17/3f - 1 = 1
1 month ago
To solve the equation
\[
\frac{17}{3f} - 1 = 1,
\]
follow these steps:
1. **Add 1 to both sides** to isolate the fraction:
\[
\frac{17}{3f} = 1 + 1.
\]
This simplifies to:
\[
\frac{17}{3f} = 2.
\]
2. **Multiply both sides by \(3f\)** to eliminate the fraction:
\[
17 = 2 \cdot 3f.
\]
This simplifies to:
\[
17 = 6f.
\]
3. **Divide both sides by 6** to solve for \(f\):
\[
f = \frac{17}{6}.
\]
Thus, the value for the variable \(f\) is
\[
\boxed{\frac{17}{6}}.
\]
1 month ago
the options are
3
4
5
6
1 month ago
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.
1. Rearrange the equation:
\[
\frac{17}{3f} = 1 + 1,
\]
which simplifies to:
\[
\frac{17}{3f} = 2.
\]
2. Multiply both sides by \( 3f \):
\[
17 = 2 \cdot 3f.
\]
3. This simplifies to:
\[
17 = 6f.
\]
4. 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:
\[
\boxed{3}.
\]