evaluate the following expression for (a) $x = 4$ and $y = 1$ and (b) $x = 1$ and $y = 5$.
\6x^2 + y^2\

(a) for $x = 4$ and $y = 1$, $6x^2 + y^2 = 97$
(type an integer or a simplified fraction.)

(b) for $x = 1$ and $y = 5$, $6x^2 + y^2 = \square$
(type an integer or a simplified fraction.)

Question

evaluate the following expression for (a) $x = 4$ and $y = 1$ and (b) $x = 1$ and $y = 5$.
\6x^2 + y^2\

(a) for $x = 4$ and $y = 1$, $6x^2 + y^2 = 97$
(type an integer or a simplified fraction.)

(b) for $x = 1$ and $y = 5$, $6x^2 + y^2 = \square$
(type an integer or a simplified fraction.)

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Evaluating Expressions" ], "new_concepts": [], "current_concepts": [ "Evaluating Expressions", "Order of Operations", "Exponents" ] } ## Evaluate the expression for part (a) $$ \begin{aligned} &\text{Given: } 6x^2 + y^2 \text{ with } x = 4, y = 1\ &6(4)^2 + (1)^2 = 6(16) + 1 = 96 + 1 = 97 \end{aligned} $$ ## Evaluate the expression for part (b) $$ \begin{aligned} &\text{Given: } 6x^2 + y^2 \text{ with } x = 1, y = 5\ &6(1)^2 + (5)^2 = 6(1) + 25 = 6 + 25 = 31 \end{aligned} $$ ## Question 1 (a) For $x = 4$ and $y = 1$, $6x^2 + y^2 =$ 97 ## Question 2 (b) For $x = 1$ and $y = 5$, $6x^2 + y^2 =$ 31 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Expressions" ] }

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QUESTION IMAGE

Question

Explanation:

Evaluate the expression for part (a)

Evaluate the expression for part (b)

Answer:

Question 1

Question 2