In the xy-plane, the graph of the function f(x) = x2 + 5x + 4 has two x-intercepts. What is the distance between the x-intercepts?
Correct answer: C. 3
- A. 1
- B. 2
- C. 3
- D. 4
- E. 5
Explanation
To find the distance between these two points, we can use the distance formula: d = |x₂ - x₁| where x₁ = -1 and x₂ = -4. Substituting the values, we get: d = |-4 - (-1)| = |-4 + 1| = 3 Therefore, the distance between the x-intercepts is 3. Hence, the correct option is (C) 3.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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