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3 years ago

Translate the following into an algebraic expression: A number is 30% of 20% of the number x.

Mathematics

1 answer:

bezimeni [28]3 years ago

4 0

Answer: 0.06x

Step-by-step explanation:

An algebraic expression is an expression consist of integer constants, variables, and algebraic operations.

The given statement: A number is 30% of 20% of the number x.

The required algebraic expression would be:

30% of 20% of x

$=\dfrac{30}{100}\times \dfrac{20}{100}\times x$ [we divide a percentage by 100 to convert it into decimal]

$=\dfrac{6}{100}\times x\\\\=0.06x$

Hence, the required algebraic expression would be :

0.06x

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<h3>Answer: 7.0 (choice E)</h3>

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

Work Shown:

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$\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (4,7,2,6) = \frac{4*7 + 2}{6}\\\\\perp (4,7,2,6) = \frac{28 + 2}{6}\\\\\perp (4,7,2,6) = \frac{30}{6}\\\\\perp (4,7,2,6) = 5\\\\$

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2 years ago

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3 years ago

Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.

algol [13]

Answer:

$f\left( {2.1} \right) \approx 5.22360$ .

Step-by-step explanation:

The linear approximation is given by the equation

${f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}$

Linear approximation is a good way to approximate values of $f(x)$ as long as you stay close to the point $x= a$ , but the farther you get from $x=a$ , the worse your approximation.