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3 years ago

Find slope. х у -7 -1 0 -5 -1 4 3

Mathematics

1 answer:

SVEN [57.7K]3 years ago

3 0

Answer:

0.75

Step-by-step explanation:

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What substitution should be used to rewrite 4x^4-21x^2+20=0 as a quadratic function?

pogonyaev

Answer:

see explanation

Step-by-step explanation:

Let u = x² ( choice of variable is flexible ), then

4u² - 21u + 20 = 0 ← expressed as a quadratic

This can now be solved for u and converted back into terms of x

3 0

3 years ago

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The Hyperbolic Sine (sinh(x)) and Hyperbolic Cosine (cosh(x)) functions are defined as such: sin h(x) = e^x - e^-x/2 cosh(x) = e

labwork [276]

Answer:

y-incercepts:

sinh(x):0, cosh(x)=1

Limits:

positive infinity: sinh(x): infinity, cosh(x): infinity

negative infinity: sinh(x): - infinity, cosh(x): infinity

Step-by-step explanation:

We are given that

$\sinh(x)=\frac{e^{x}-e^{-x}}{2}$

$\cosh(x)=\frac{e^{x}+e^{-x}}{2}$

To find out the y-incerpt of a function, we just need to replace x by 0. Recall that $e^{0}=1$ . Then,

$\sinh(0) = \frac{1-1}{2}=0$

$\cosh(0) = \frac{1+1}{2}=1$

For the end behavior, recall the following:

$\lim_{x\to \infty}e^{x} = \infty, \lim_{x\to \infty}e^{-x} = 0$

$\lim_{x\to -\infty}e^{x} = 0, \lim_{x\to -\infty}e^{-x} = \infty$

Using the properties of limits, we have that

$\lim_{x\to \infty} \sinh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}-\lim_{x\to \infty}e^{-x})=(\infty -0) = \infty$

$\lim_{x\to \infty} \cosh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}+\lim_{x\to \infty}e^{-x}) =(\infty -0)= \infty$

$\lim_{x\to -\infty} \sinh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}-\lim_{x\to -\infty}e^{-x}) = (0-\infty)=-\infty$

$\lim_{x\to -\infty} \cosh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}+\lim_{x\to -\infty}e^{-x}) =(0+\infty)= \infty$

8 0

3 years ago

A bicycle wheel makes five rotations. The bicycle travels 41.87 ft. Find the diameter of the wheel in inches. Use 3.14 for pi. T

bogdanovich [222]

Answer:

2.66687898

Step-by-step explanation:

6 0

4 years ago

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WILL MARK BRAINLIEST! PLEASE HELP!<br> Write 206 in base 7

stiks02 [169]

The answer would be 104

7 0

3 years ago

Help please :( help me :)

sp2606 [1]

Answer:

-2/3

Step-by-step explanation:

We are trying to find the slope given two points

m = ( y2-y1)/(x2-x1)

= ( -1-3)/( 2- -4)

= ( -1-3)/( 2+4)

-4/6

-2/3

5 0

3 years ago