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3 years ago

15

Anyone knows the answer?

1 answer:

never [62]3 years ago

4 0

The x-coord. of the vertex is halfway between the given zeros. Here, it'd be halfway between x=3 and x=9, which comes out to x = 6 (answer).

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HELP!<br> I’ll give brainliest if u get it right

Tomtit [17]

Answer:

its 36 gallons

Step-by-step explanation:

6 0

3 years ago

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

natima [27]

Answer:

The <em>equation</em> 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:

<u>Algebra I</u>

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

<u>Calculus</u>

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 <em>slope of the tangent line</em>.

<u>Step 1: Define</u>

<em>Identify given.</em>

<em /> $\displaystylef(x) = e^{-x} \\x = -1$

<u>Step 2: Differentiate</u>

[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]:
$\displaystyle f'(x) = -e^{-x}$

<u>Step 3: Find Tangent Slope</u>

[Derivative] Substitute in <em>x</em> = 1:
$\displaystyle f'(1) = -e^{-1}$
Rewrite:
$\displaystyle f'(1) = \frac{-1}{e}$

∴ the slope of the tangent line is equal to $\displaystyle \frac{-1}{e}$ .

<u>Step 4: Find Equation</u>

[Function] Substitute in <em>x</em> = 1:
$\displaystyle f(1) = e^{-1}$
Rewrite:
$\displaystyle f(1) = \frac{1}{e}$

∴ our point is equal to $\displaystyle \bigg( 1, \frac{1}{e} \bigg)$ .

Substituting in our variables we found into the point-slope form general equation, we get our final answer of:

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

∴ we have our final answer.

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Learn more about derivatives: brainly.com/question/27163229

Learn more about calculus: brainly.com/question/23558817

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

3 0

2 years ago

And items are for $40 plus sales tax on the item is 8% what is the sales tax on the total cost

Setler79 [48]

Answer:

43.20 for the total cost of the item

6 0

3 years ago

Rectangle EFGH is shown below with line IJ passing through the center:

otez555 [7]

The line will remain unchanged because you are just and only dilating the rectangle. I hope this helps :).-

4 0

3 years ago

Read 2 more answers

The following table shows the total number of quizzes taken in high school. How many quizzes are taken per week?

igomit [66]

Answer:

4

Step-by-step explanation:

y÷x

12÷3=4 and 20÷5=4

3 0

3 years ago

Read 2 more answers