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Gelneren [198K]
2 years ago
10

Three times the quantity five less than x, divided by the product of six and x

Mathematics
1 answer:
Elden [556K]2 years ago
7 0

Answer:

\frac{3(x-5)}{6x}

Step-by-step explanation:

we know that

The phrase "Three times the quantity five less than x" means 3 multiplied by the difference of x minus 5

3(x-5)

The phrase "the product of six and x" means the number 6 multiplied by x

6x

therefore

The phrase" Three times the quantity five less than x, divided by the product of six and x" is equal to the quotient of 3(x-5) and 6x

\frac{3(x-5)}{6x}

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A building is 5 feet tall. the base of the ladder is 8 feet from the building. how tall must a ladder be to reach the top of the
iris [78.8K]

The ladder must be 9.4 ft to reach the top of the building

Here, we want to get the length of the ladder that will reach the top of the building

Firstly, we need a diagrammatic representation

We have this as;

As we can see, we have a right triangle with the hypotenuse being the length of the ladder

We simply will make use of Pythagoras' theorem which states that the square of the hypotenuse is equal to the sum of the squares of the two other sides

Thus, we have;

\begin{gathered} x^2=5^2+8^2 \\ x^2=\text{ 25 + 64} \\ x^2\text{ = 89} \\ x=\text{ }\sqrt[]{89} \\ x\text{ = 9.4 ft} \end{gathered}

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1 year ago
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2 years ago
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Step-by-step explanation:

200/40=5

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2 years ago
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3 years ago
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What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?
Hunter-Best [27]

Answer:

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Step-by-step explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

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in this case, a is 2 and b is 4

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Substituting these values in the equation for rate of change, we have;

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8 0
3 years ago
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