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3 years ago

9.5x - 2.5 for x = 9 What is the solution

Mathematics

2 answers:

Oksana_A [137]3 years ago

7 0

Just substitue $9$ for $x$ in the expression.

$= 9.5(9) - 2.5$

$= 85.5 - 2.5$

$= 83$

Citrus2011 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

The original equation is 9.5 times x - 2.5

9.5(9) - 2.5

9.5(9) = 88.5

88.5 - 2.5 = 86

9.5x - 2.5 = 86

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Naitik exercised for

kati45 [8]

<h3>Answer: Aryan spent more time exercising.</h3>

=======================================================

Explanation:

Use your calculator to convert each fraction into decimal form

2/3 = 0.67 approximately

3/4 = 0.75 exact

The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".

So 0.67 < 0.75 which leads to 2/3 < 3/4.

Aryan spent more time exercising.

--------------

We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get

3/4 - 2/3

9/12 - 8/12

(9-8)/12

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1/12 hour = (1/12)*60 = 60/12 = 5 minutes

He spent 5 extra minutes exercising.

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Notes:

2/3 hours = (2/3)*60 = 40 minutes
3/4 hours = (3/4)*60 = 45 minutes
45-40 = 5 extra minutes of exercise

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3 years ago

X^3 = ? Please write the answer correctly.

photoshop1234 [79]

Answer: (x)(x)(x) = x^3.

Step-by-step explanation:

x^3 means multiply x by it's self 3 times.

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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

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