Pregunta
16 Find the zeros of the following quadratic function by factoring. What are the \( x \)-intercepts of the graph of the function? \( f(x)=x^{2}-11 x \) Select the correct choice below and fill in the answer box to complete your choice. (Simplity your answer. Use a comma to separate answers as needed.) A. The zeros and the \( x \)-intercepts are the same. They are B. The zeros and the \( x \)-intercepts are different. The zeros are , the x-intercepts are \( \square \).
Ask by Cruz Olson. in the United States
Mar 01,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The zeros and the x-intercepts are the same. They are 0, 11.
Solución
To factor the quadratic function f(x) = x² – 11x, first factor out x:
x² – 11x = x(x – 11)
Set the expression equal to zero:
x(x – 11) = 0
This gives the solutions:
x = 0 or x – 11 = 0 ⇒ x = 11
Since the zeros are the x-intercepts, the x-intercepts of the graph are (0, 0) and (11, 0).
Choose:
A. The zeros and the x-intercepts are the same. They are 0, 11.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To find the zeros of the function \( f(x) = x^2 - 11x \), we can factor it. First, we can factor out an \( x \): \( f(x) = x(x - 11) \) Setting this equal to zero gives us \( x(x - 11) = 0 \). This means either \( x = 0 \) or \( x - 11 = 0 \) (which leads us to \( x = 11 \)). So, the zeros of the function, as well as the \( x \)-intercepts of the graph, are \( 0 \) and \( 11 \). A. The zeros and the \( x \)-intercepts are the same. They are \( 0, 11 \).
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