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slava [35]
3 years ago
12

(4r^6 + 2r^5 - 8r^4) ÷ r^4​

Mathematics
1 answer:
Basile [38]3 years ago
7 0

The solution is 2(2r^2+r-4)

Explanation:

The given expression is \frac{4r^6+2r^5-8r^4}{r^4}

We need to determine the solution of the given expression.

The solution of the expression can be determined by dividing the terms.

Thus, we have,

\frac{4r^6+2r^5-8r^4}{r^4}

Let us factor out the common term 2r^4 from the numerator.

Thus, we get,

\frac{2r^4(2r^4+r-4)}{r^4}

Cancelling the common terms, we get,

2(2r^2+r-4)

Thus, the solution of the expression is 2(2r^2+r-4)

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\text{Consider the function}\\
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h(t)=\cot(t) \text{ on the interval }\left [ \frac{\pi}{4}, \ \frac{3\pi}{4} \right ]\\
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\text{we know that the average rate of change of a funtion f(x) over the }\\
\text{interval [a, b] is given by}\\
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f_{avg}=\frac{f(b)-f(a)}{b-a}\\
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\text{so using this, the average rate of change of the given function is}

h_{avg}=\frac{h\left ( \frac{3\pi}{4} \right )-h\left ( \frac{\pi}{4} \right )}{\frac{3\pi}{4}-\frac{\pi}{4}}\\
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=\frac{-2}{\frac{\pi}{2}}\\
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3 years ago
Using a mathematical table evalutate the square root of 0.792
kolezko [41]
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pogonyaev

Answer:

(–∞, 0)

Step-by-step explanation:

The graph of the absolute value parent function f(x) = |x| is shown in the attached diagram.

We can clearly see that from -∞ to 0, the function is decreasing and from 0 to +∞, it is increasing. This is the basic, parent absolute value function.

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