Math  /  Algebra

QuestionSave \& Exit Certify Lesson: 2.1c Evaluating Algebraic Expressi... Question 9 of 14, Step 1 of 1 8/14 Correct Evaluate the following algebraic expression at x=0,y=4x=0, y=4 and simplify your answer. 6x2+9y2+56 x^{2}+9 y^{2}+5

Studdy Solution

STEP 1

1. The given expression is algebraic and consists of variables xx and yy.
2. We need to evaluate the expression at specific values: x=0x = 0 and y=4y = 4.
3. Simplification of the expression involves basic arithmetic operations.

STEP 2

1. Substitute the given values of xx and yy into the expression.
2. Simplify the resulting numerical expression.

STEP 3

Substitute x=0x = 0 and y=4y = 4 into the expression 6x2+9y2+56x^2 + 9y^2 + 5.
6(0)2+9(4)2+56(0)^2 + 9(4)^2 + 5

STEP 4

Calculate the power and multiplication operations.
60+916+56 \cdot 0 + 9 \cdot 16 + 5

STEP 5

Perform the multiplications.
0+144+50 + 144 + 5

STEP 6

Add the resulting values to simplify the expression.
144+5=149144 + 5 = 149
Solution: The value of the expression 6x2+9y2+56x^2 + 9y^2 + 5 at x=0x = 0 and y=4y = 4 is 149149.

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