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3 years ago

Multiply.

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

4 0

Answer:

2x^2-4x-16

Step-by-step explanation:

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zalisa [80]

Answer:

happy mothers day

Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

PLEASEEEEE HELP!! BRAINLIEST!!

ycow [4]

Step-by-step explanation:

Rate of change = final - initial / time(in years)

= 41 - 43 / 2014 - 2012

= - 2 / 2

Rate of change = - 1

Therefore, the number of employees with health care benefits reduced by 1 person per year between 2012 - 2014 in response to policy changes.

5 0

3 years ago

What is the sum of the areas of circle C and circle D?

Yanka [14]

Answer:

98pi

Step-by-step explanation:

Area of circle: pi(r)^2

A1=pi(7)^2

A2=pi(7)^2

A2+A1=98pi

4 0

3 years ago

F(x) = e^-x . Find the equation of the tangent to f(x) at x=-1

natima [27]

Answer:

The equation of the tangent line is given by the following equation:

$\displaystyle y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg)$

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:
$\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

*Note:

Recall that the definition of the derivative is the slope of the tangent line.

Step 1: Define

Identify given.

$\displaystylef(x) = e^{-x} \\x = -1$

Step 2: Differentiate

[Function] Apply Exponential Differentiation [Derivative Rule - Chain Rule]:
$\displaystyle f'(x) = e^{-x}(-x)'$
[Derivative] Rewrite [Derivative Rule - Multiplied Constant]:
$\displaystyle f'(x) = -e^{-x}(x)'$
[Derivative] Apply Derivative Rule [Derivative Rule - Basic Power Rule]:
$\displaystyle f'(x) = -e^{-x}$