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\( 4 x^{-1}=\square \) (Simplify your answer.)

Ask by Mathis Zimmerman. in the United States
Jan 23,2025

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\[ \frac{4}{x} \]

Solución

To simplify the expression \( 4 x^{-1} \): 1. Recall that \( x^{-1} \) is equivalent to \( \frac{1}{x} \). 2. Substitute \( x^{-1} \) with \( \frac{1}{x} \): \[ 4 x^{-1} = 4 \times \frac{1}{x} = \frac{4}{x} \] **Simplified Answer:** \[ \frac{4}{x} \]

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The expression \( 4 x^{-1} \) can be simplified by recalling that \( x^{-1} \) is equivalent to \( \frac{1}{x} \). Therefore, we can rewrite the expression as \( 4 \cdot \frac{1}{x} \), which simplifies to \( \frac{4}{x} \). So, the answer is \( \frac{4}{x} \). Now, it's important to note that \( x \) cannot be zero since division by zero is undefined! Always keep that in mind when working with equations involving variables.

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Latest Algebra Questions

Point-Slope Form For each row, you and your partner will answer the question shown. Begin by reading each scenario. Using point-slope form, write the equation of the line that describes this scenario. Then, rewrite the equation in slope-intercept form. You and your partner should get the same answer for slope-intercept form. If you disagree, work together to reach an agreement. Partner A 1. In order to enter the state fair, there is an admission cost. Each game is \( \$ 3 \). Steven went to the state fair, played 4 games and spent a total of \( \$ 20 \) on admission and games. 2. At a chili cook off, people pay \( \$ 0.50 \) for each sample bowl of chili. The total cost was \( \$ 4.50 \) for 3 bowls of chili. 3. CJ loves Girl Scout cookies. He eats 3 cookies per hour. After 5 hours, there are 24 cookies left in the box. 4. An oil tank is being filled at a constant rate of 0.2 gallons per minute. After 10 minutes, there are 5 gallons of oil in the tank. 5. The total cost of renting a vacation home includes a deposit and a daily rental fee of \( \$ 125 \). A family rents a vacation home for 5 days and pays \( \$ 700 \). Partner B 1. In order to enter the state fair, there is an admission cost. Each game is \( \$ 3 \). Steven went to the state fair, played 10 games and spent a total of \( \$ 38 \) on admission and games. 2. At a chili cook off, people pay \( \$ 0.50 \) for each sample bowl of chili. The total cost was \( \$ 6.50 \) for 7 bowls of chili. 3. CJ loves Girl Scout cookies. He eats 3 cookies per hour. After 3 hours, there are 30 cookies left in the box. 4. An oil tank is being filled at a constant rate of 0.2 gallons per minute. After 5 minutes, there are 4 gallons of oil in the tank. 5. The total cost of renting a vacation home includes a deposit and a daily rental fee of \( \$ 125 \). A family rents a vacation home for 3 days and pays \( \$ 450 \). Talk About it! Return to Examples 1-5. Identify the \( y \)-intercept in each scenario. Explain the meaning of the \( y \)-intercept in terms of the context.
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