Pregunta
upstudy study bank question image url

Yen feeds his puppy the same amount of food each day. He plan to increase this amount by \( x \) oz. The expression \( 3 x+18 \) represer the total weight of food, in ounces, Yen needs for his puppy for the next three days. a. Rewrite the expression as a product of two factors. Show your work.

Ask by Carter Edwards. in the United States
Mar 20,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The expression \( 3x + 18 \) can be rewritten as \( 3(x + 6) \).

Solución

To rewrite the expression \( 3x + 18 \) as a product of two factors, we can factor out the greatest common factor (GCF) from the terms in the expression. 1. **Identify the GCF**: The terms in the expression are \( 3x \) and \( 18 \). The GCF of these two terms is \( 3 \). 2. **Factor out the GCF**: We can factor \( 3 \) out of the expression: \[ 3x + 18 = 3(x + 6) \] Thus, the expression \( 3x + 18 \) can be rewritten as a product of two factors: \[ 3(x + 6) \] This shows that the total weight of food Yen needs for his puppy for the next three days can be expressed as \( 3 \) times the amount of food he plans to feed his puppy each day plus \( 6 \) ounces.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Beyond the Answer

To rewrite the expression \( 3x + 18 \) as a product of two factors, we can factor out the greatest common factor, which is 3. Here’s how it looks: 1. Identify the common factor: Both terms \( 3x \) and \( 18 \) can be divided by 3. 2. Factor out 3: \[ 3x + 18 = 3(x + 6) \] Thus, the expression \( 3x + 18 \) can be rewritten as \( 3(x + 6) \). If you need to find more ways to approach this kind of problem, remember that factoring is all about finding common elements. One common mistake is to overlook the greatest common factor, so always check if there's something you can factor out first! Keep practicing with different expressions, and you'll become a factoring whiz in no time!

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad