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2 years ago

F(x) = -x^2 - 10x - 13, find f(-2)

Mathematics

1 answer:

SVEN [57.7K]2 years ago

8 0

Answer: f(-2) = 11

Concept:

Here, we need to understand the idea of evaluation.

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

f (-2) or x = -2

Given function

f(x) = -x² - 10x - 13

Substitute values into the function

f(-2) = -(-2)² - 10 (-2) - 13

Simplify exponents

f(-2) = -(4) - 10 (-2) - 13

Simplify by multiplication

f(-2) = 4 + 20 - 13

Simplify by addition/subtraction

f(-2) = 24 - 13

f(-2) = $\boxed{11}$

Hope this helps!! :)

Please let me know if you have any questions

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brilliants [131]

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Step-by-step explanation:

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WILL MARK BRAINLIEST in detail, what would you do in order to graph y = 3x -5

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1) -24, -4, 16, 36, ... Find a23

viktelen [127]

We're given the Arithmetic Progression -24, -4, 16, 36 ... .

We know that a term in an AP is generally represented as:

$\bf a_n\ =\ a\ +\ (n\ -\ 1)d$

where,

a = the first term in the sequence
n = the number of the term/number of terms
d = difference between two terms

We need to find $\sf a_2_3$ .

From the given progression, we have:

a = -24
n = 23
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Using these in the formula,

$\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464$

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