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3 years ago

What is the domain, range, and function of y=absolute value of x-3 +2

Mathematics

1 answer:

olga55 [171]3 years ago

5 0

$y=|x-3|+2\\\\Domain:x\in\mathbb{R}\\\\Range:y\in[2;\ \infty)\ because\ |x-3|\geq0\ and\ +2$

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Determining Exponential Growth and Decay in Exercise, use the given information to write an exponential equation for y. Does the

scZoUnD [109]

Answer:

$y=20e^{-\frac{2}{3}t}$

Exponential decay

Step-by-step explanation:

We are given that

$\frac{dy}{dt}=-\frac{2}{3}y$

y=20 when t=0

$\frac{dy}{y}=-\frac{2}{3}dt$

Taking integration on both sides then we get

$lny=-\frac{2}{3}t+C$

Using formula $\int \frac{dx}{x}=lnx,\int dx=x$

$y=e^{-\frac{2}{3}t+C}$

Using formula

$lnx=y\implies x=e^y$

$y=e^C\cdot e^{-\frac{2}{3}t}$

$e^C=Constant=C$

$y=Ce^{-\frac{2}{3}t}$

Substitute y=20 and t=0

$20=C$

Substitute the value of C

$y=20e^{-\frac{2}{3}t}$

When t tends to infinity then

$\lim_{t\rightarrow\infty}=\lim_{t\rightarrow\infty}20e^{-\frac{2}{3}t}=0$

When time increases then the value of function decrease

Hence, the function is exponential decay.

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3 years ago

WILL GIVE A BRAINLEST & 50PTS -PLZ HLEP THANKS

nirvana33 [79]

Your answer is A. 0.3 Hope this Helps.

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Solve for d.<br> 2d + 4 = 10 + 5d

sveta [45]

Answer:

d = -2

Step-by-step explanation:

2d - 5d = -3d

10 - 4 = 6

-3d = 6

d = -2

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Which expression is equivalent to <img src="https://tex.z-dn.net/?f=%5Csqrt128x%5E%7B8%7D%20y%5E%7B3%7D%20z%5E%7B9%7D" id="TexFo

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Answer:

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Step-by-step explanation:

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There are 30 musicians in the carter school marching band. How many of them play brass instruments

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There are 7 people who play brass

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