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SCORPION-xisa [38]
4 years ago
5

Lorenzo and Nicole survey students about their favorite subject. Lorenzo surveys 24 students. This is 4 times as many as the 6 s

tudents that Nicole suverys. Write an equation that represents this situation
Mathematics
1 answer:
LiRa [457]4 years ago
7 0

Answer:

y = 4 * x

y is the number of students that Lorenzo surveys,

x is the number of students that Nicole surveys.

Step-by-step explanation:

Lorenzo surveys 24 students, so we can use this value as the left side of our equation.

The number of students that Lorenzo surveys is 4 times as many as the number of students that Nicole surveys, that is 6. So, we use the value of 6 in the right side of the equation, and multiplied by 4 (the expression "4 times as many as" means that one value is the second one multiplied by 4)

The expression that represents this is:

24 = 4 * 6

If we use the variable y to express the number of students that Lorenzo surveys and x to express the number of students that Nicole surveys, we can write this equation:

y = 4 * x

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
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Answer:

\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

f(x)=\frac{u(x)}{v(x)}\\, the derivative is express as

\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }

from y=lnx/x^{2}

we assign u(x)=lnx and v(x)=x^2

and the derivatives

\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\.

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e y=lnx\\\frac{dy}{dx}=\frac{1}{x}

If we substitute values into the quotient expression we arrive at

\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

8 0
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Bob took 20 math test last year if he failed 6 of them what percent of the math test did he pass
kodGreya [7K]
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3 years ago
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Answer:

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Step-by-step explanation:

Consider the provided information.

Teresa is building a scale model of the JP Morgan chase Tower in Houston.

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For this divide 305 by 61.

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multiply 1.5 with 5 gives us:

1.5\times 5=7.5

Hence, Teresa should build 7.5 inches model.

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Answer:

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Step-by-step explanation:

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