3 years ago

Simplify 2x2+20x+32/x2-2x-80

Mathematics

1 answer:

Elina [12.6K]3 years ago

3 0

2 (x+2)/(x-10) is the simplified answer

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likoan [24]

It's easy to show that $7\tan(4x)$ is strictly increasing on $x\in\left[0,\frac\pi8\right]$ . This means

$M = \max \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/12} = 7\sqrt3$

and

$m = \min \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/16} = 7$

Then the integral is bounded by

$\displaystyle 7\left(\frac\pi{12} - \frac\pi{16}\right) \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le 7\sqrt3 \left(\frac\pi{12} - \frac\pi{16}\right)$

$\implies \displaystyle \boxed{\frac{7\pi}{48}} \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le \boxed{\frac{7\sqrt3\,\pi}{48}}$

7 0

2 years ago

0.48 = log x solve for x

marissa [1.9K]

Answer: x≈3

Step-by-step explanation:

0.48 = log x , this could also be written as :

$log_{10}$ x = 0.48 , that is

x = $10^{0.48}$

x = 3.01995172

x≈ 3

8 0

3 years ago

Part of the graph of the function f(x) = (x + 4)(x - 6) is

Mariulka [41]

Answer:

Step-by-step explanation:

#1: True

#2: False

#3: False

#4: False

#5: True

I hope I've helped you.

3 0

3 years ago

14. The Wilson family has twice as many tomato plants as squash plants. If there are 15 plants in the garden,

WARRIOR [948]

Answer:

5 Squash, 10 Tomatoes

Step-by-step explanation:

10 is double 5 :/

7 0

3 years ago

Read 2 more answers

Describe the transformation from the parent function

Nikolay [14]

Answer:

9 down, 5 right, compression by factor of 2, reflection across the x- axis

Step-by-step explanation:

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3 years ago