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3 years ago

6x-1/2=1 solve this equation

Mathematics

1 answer:

omeli [17]3 years ago

7 0

Answer:

cross ❌ multiply

6x-1=2

6x=2+1

6x=3

divide both sides by 6

x=1/2

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Two computers just scanned for viruses at the same time. Computer A runs a virus scan every 2.75 days. Computer B runs a virus s

Elis [28]

Let the time taken by computer for virus scan be, 'x' days

We are given that Computer A runs a virus scan in every 2.75 days and Computer B runs a virus scan in every 3.5 days.

<h3>Amount of work done by computer A⤵️</h3>

Amount of work done in one day = $\tt\frac{1}{2.75}$

Amount of work done in x days = $\tt\frac{x}{2.75}$

<h3>Amount of work done by Computer B⤵️</h3>

Amount of work done in one day = $\tt\frac{1}{3.5}$

Amount of work done in x days = $\tt\frac{x}{3.5}$

Since, They are doing the same work the amount of work done is 1.

$\sf \: \frac{x}{2.75} + \frac{x}{3.5} = 1$

Solve for x ~

$\sf \frac{x}{ \frac{11}{4} } + \frac{x}{ \frac{7}{2} } = 1$

$\sf \frac{4x}{11} + \frac{2x}{7} = 1$

$\sf \: 28x + 22x = 77$

$\sf \: 50x = 77$

$\sf \: x = \frac{77}{50}$

$\boxed{ \bf \: x = 1.54}$

➪ <em>Thus, the time taken when both computers run a virus scan at the same time again is, 1.54 days</em>

8 0

2 years ago

Please help! Can anyone help me out with this question?

TEA [102]

Answer:

$\displaystyle h'(s) = 64s + 20$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

Terms/Coefficients

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

Step-by-step explanation:

<u>Step 1: Define</u>

$\displaystyle h(s) = (-8s - 9)(-4s + 2)$

<u>Step 2: Differentiate</u>

[Derivative] Product Rule: $\displaystyle h'(s) = \frac{d}{ds}[(-8s - 9)](-4s + 2) + (-8s - 9)\frac{d}{ds}[(-4s + 2)]$
[Derivative] Basic Power Rule: $\displaystyle h'(s) = (1 \cdot -8s^{1 - 1} - 0)(-4s + 2) + (-8s - 9)(1 \cdot -4s^{1 - 1} - 0)$
[Derivative] Simplify: $\displaystyle h'(s) = (-8)(-4s + 2) + (-8s - 9)(-4)$
[Derivative] Distribute [Distributive Property]: $\displaystyle h'(s) = 32s - 16 + 32s + 36$
[Derivative] Combine like terms: $\displaystyle h'(s) = 64s + 20$