Answer: If the quadratic equation has real, rational solutions, the quickest way to solve it is often to factorise into the form (px + q)(mx + n), where m, n, p and q are integers. This is especially true where the coefficient of x2 is 1.

Example 1 - Solve x2+7x+12=0

Step-by-step explanation:

that's the only one I remember

8 0

2 years ago

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1 pt) find the average rate of change of the function over the given intervals. h(t)=\cot (t);

blondinia [14]

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

$h_{avg}=\frac{h\left ( \frac{3\pi}{4} \right )-h\left ( \frac{\pi}{4} \right )}{\frac{3\pi}{4}-\frac{\pi}{4}}\\
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=\frac{\cot \left ( \frac{3\pi}{4} \right )-\cot \left ( \frac{\pi}{4} \right )}{\frac{3\pi-\pi}{4}}\\
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=\frac{(-1)-(1)}{\frac{2\pi}{4}}\\
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=\frac{-2}{\frac{\pi}{2}}\\
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\text{Average rate of change of function}=\frac{-4}{\pi}$

6 0

3 years ago

True or false? A theorem is a statement that can be easily proved using a corollary.

nikklg [1K]

The correct answer is:

False.

Explanation:

A corollary is a short statement whose proof relies on an already proven theorem.

Since corollaries rely on theorems, theorems do not rely on corollaries.

5 0

3 years ago

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