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3 years ago

The ratio 2 1/2 divided by 9/4 is equivalent to the unit rate of 10/9. true or false?

Mathematics

2 answers:

inna [77]3 years ago

5 0

The awnser is false! :)

krek1111 [17]3 years ago

4 0

Answer:

false the answer is 1 1/9

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13 more than x times 5 as an expression

irina [24]

Answer: I believe it's 13 > 5x or 5x+13. . But I'm not completely sure.

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3 years ago

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

Step 3: Find Tangent Slope

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

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

Step 4: Find Equation

[Function] Substitute in x = 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

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2 years ago

The transformation of g(x)=x2-2

azamat

Answer:

Your shape should be translated up 2 and left 2.

Step-by-step explanation:

The first digit following variable "x" indicates how your shape moves along the y-axis. The second digit following variable "x" indicates how your shape moves along the x-axis. IF EITHER OF THOSE DIGITS ARE STATED IN PARENTHESIS, THEY DO THE OPPOSITE! In parenthesis, plus means minus. And for fractions, say you have 2/1, would translate to 1/2. This rule only applies to f(x) expressions.

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4 years ago

What is the slope of this non-vertical line?

marysya [2.9K]

Answer: Can you show a picture of the line, please?

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3 years ago

Write an equation in the form Ax+By=C, given m=3/4 and y-intercept is (0,-4) , where A,B and C are integers.

Rudiy27

Y = mx + b....m is ur slope and b is ur y int
y = 3/4x - 4...but we need it in standard form..

-3/4x + y = -4...multiply by -4
3x - 4y = 16 <==

5 0

4 years ago

Read 2 more answers