Question7 Si , ¿qué función es el resultado de desplazar unidades hacia la izquierda y 2 unidades hacia abajo?
(1)
(3)
(2)
(4)
8 La ecuación utilizada para calcular la velocidad de un objeto es la siguiente: , donde es la velocidad inicial, es la velocidad final, es la aceleración del objeto y es la distancia recorrida.
Cuando se resuelve esta ecuación para , el resultado es
(1)
(3)
(2)
(4)
9 La clase de Matemáticas de la Sra. Smith hizo una encuestó a los estudiantes para determinar sus sabores favoritos de helado. Los resultados se muestran en la siguiente tabla.
\begin{tabular}{|c|c|c|c|}
\cline { 2 - 4 } \multicolumn{1}{c|}{} & Chocolate & Vainilla & Combinado \\
\hline 11. grado & 42 & 27 & 45 \\
\hline 12. grado & 67 & 42 & 21 \\
\hline
\end{tabular}
De los estudiantes que prefieren chocolate, Aproximadamente, ¿qué porcentaje era de grado?
(1) 27.5
(3) 51.5
(2) 44.7
(4) 61.5
Studdy Solution
STEP 1
1. The original function is .
2. We need to apply transformations to this function.
STEP 2
1. Determine the transformation for shifting the function 3 units to the left.
2. Determine the transformation for shifting the function 2 units down.
3. Combine the transformations to find the resulting function.
4. 1. Isolate the term containing .
2. Solve for .
STEP_1:
High_Level_Step: 1
Subtract from both sides to isolate the term with :
High_Level_Step_Completed: TRUE
STEP_2:
High_Level_Step: 2
Divide both sides by to solve for :
High_Level_Step_Completed: TRUE
The correct answer is option (2) .
**Problem 9:**
_ASSUMPTIONS_:
1. We need to find the percentage of 12th-grade students who prefer chocolate.
_HIGH_LEVEL_APPROACH_:
1. Determine the total number of students who prefer chocolate.
2. Determine the number of 12th-grade students who prefer chocolate.
3. Calculate the percentage.
STEP_1:
High_Level_Step: 1
Determine the total number of students who prefer chocolate:
High_Level_Step_Completed: TRUE
STEP_2:
High_Level_Step: 2
Determine the number of 12th-grade students who prefer chocolate:
High_Level_Step_Completed: TRUE
STEP_3:
High_Level_Step: 3
Calculate the percentage of 12th-grade students who prefer chocolate:
High_Level_Step_Completed: TRUE
The correct answer is option (4) 61.5%.
STEP 3
To shift the function 3 units to the left, replace with :
STEP 4
To shift the function 2 units down, subtract 2 from the function:
STEP 5
Combine the transformations to find the resulting function:
The resulting function is .
The correct answer is option (3) .
**Problem 8:**
_ASSUMPTIONS_:
1. The given equation is .
2. We need to solve for .
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