Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>Factorize it in steps:</u>
- 3x² + 5x + 2 = 0
- 3x² + 3x + 2x + 2 = 0
- 3x(x + 1) + 2(x + 1) = 0
- (x + 1)(3x + 2) = 0
<u>The roots are:</u>
- x + 1 = 0 ⇒ x = - 1
- 3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - 2/3
Hey! Statement 1 is false because the domain of f is all real numbers since the function is quadratic.
Statement 2 is true.
Statement 3 is true because when we graph f, it is a parabola opening upwards with vertex (3, -1). Since it is opening upward, then the value of x from -∞ to 3 is decreasing while increasing from 3 to ∞.
Statement 4 is false because we just stated above that f is decreasing from -∞ to 3. Hence, f is also decreasing from -1 to 3. Hence, f is not increasing from -1 to ∞.
Statement 5 is false because the axis of symmetry is x = 3.
Statement 6 is true.
Hope this helps! :)
Answer:
Muchos de los problemas de las ciencias, economía, finanzas, medicina y otros numerosos campos se pueden traducir a problemas de álgebra. Ésta es una razón por la
que el álgebra es tan útil. En esta sección usamos las ecuaciones como modelos
matemáticos para resolver problemas de la vida cotidiana.
Criterios para modelar con ecuaciones
Se aplican los siguientes criterios para plantear ecuaciones que modelen situaciones
formuladas en palabras. Para mostrar la manera en que los criterios pueden ayudar a
plantear las ecuaciones, anotamos al margen cuándo funciona cada ejemplo de esta
sección
Step-by-step explanation:
Answer:
They're similar in that they both have to maintain a steady rate of rise as they grow. While graphing, you can't adjust the slope or exponent after traveling up a graph.
Step-by-step explanation:
