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3 years ago

Are the expressions bh/2 and (1/2)bh equivalent expressions?

Mathematics

1 answer:

andreev551 [17]3 years ago

4 0

Bh/2 = (1/2)bh, so <span>bh/2 and (1/2)bh equivalent expressions</span>

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Twice a number plus three times a second number is twenty two. Three times the first number plus four times the second is thirty

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5 and 4.

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3 years ago

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Slope 3/2y-intercept 7/2

nalin [4]

Y=3/2x+7/2 ok hhahahahha

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3 years ago

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

Michael's father bought him a 16 foot board to cut into shelves for his bedroom. Michael plans to cut the board into 11 equal pi

andrew-mc [135]

This may not be correct sorry , 16÷11 = 1.454545454545454545454545

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3 years ago

Are the roots equal or unequal ?<br><img src="https://tex.z-dn.net/?f=x%20%7B%7D%5E%7B2%7D%20%20-%206x%20%2B%209%20%3D%200" id="

vesna_86 [32]

This can be factored as (x-3)^2, so they are equal

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2 years ago