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3 years ago

6

F(x)= −x^2+10x−6 Find f(−5)

1 answer:

Nina [5.8K]3 years ago

7 0

Answer:

f(-5) = -81

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -x² + 10x - 6

f(-5) is x = -5

<u>Step 2: Evaluate</u>

Substitute: f(-5) = -(-5)² + 10(-5) - 6
Exponents: f(-5) = -(25) + 10(-5) - 6
Multiply: f(-5) = -25 - 50 - 6
Subtract: f(-5) = -75 - 6
Subtract: f(-5) = -81

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Step-by-step explanation:

<u>Step 1: Solve using the first point</u>

<em>(2, 28)</em>

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<u>Step 2: Solve using the second point</u>

<em>(-1, -5)</em>

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<u>Step 3: Solve using the third point</u>

<em>(4, 220)</em>

$220 = a(4)^3 + b(4)^2 + c(4) + d$

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<u>Step 4: Solve using the fourth point</u>

<em>(-2, -20)</em>

$-20 = a(-2)^3 + b(-2)^2 + c(-2) + d$

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<u>Step 5: Combine the first and fourth equations</u>

<u /> $28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d$

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<u>Step 6: Solve for c in the second equation</u>

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$0 + c = -a + b - c + c + d + 5$

$c = -a + b + d + 5$

<u>Step 7: Substitute d with the stuff we got in step 5</u>

$c = -a + b + (4 - 4b) + 5$

$c = -a + b + 4 - 4b + 5$

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<u>Step 8: Substitute d and c into the first equation</u>

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<u>Step 9: Substitute a, b, and c into the third equation</u>

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<u>Step 12: Find d using b = 2</u>

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