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2 years ago

3. find the domain and range of a) 3x-2y+7=0i think in y-intercept form it is y=3/2x + 7/2

Mathematics

1 answer:

bekas [8.4K]2 years ago

3 0

$3x-2y+7=0\\\\The\ slope-intercept\ form:\\\\2y=3x+7\ \ \ \ \ /:2\\\\y=\frac{3}{2}x+\frac{7}{2}\\\\The\ domain:x\in\mathbb{R}\\\\The\ range:y\in\mathbb{R}$

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Write a proportion for the statement. 40 is to 10 as 32 is to 8.

Svetach [21]

Hi! ⋇

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All proportions have this form:

$\sf{\dfrac{a}{b}=\dfrac{c}{d}}$ , Where $\sf{\dfrac{a}{b}}$ is equal to $\sf{\dfrac{c}{d}}$ .

If $\sf{\dfrac{a}{b}\neq\dfrac{c}{d}}$ , it's not a proportion.

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Here we have two pairs of numbers:

40,10 and 32,8.

Written As a proportion, they look like :

$\sf{\dfrac{40}{10}=\dfrac{32}{8}}$

Hope this made sense to you :)

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1 year ago

D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

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which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

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2 years ago

How do you know if a graph you are looking at shows a periodic function?

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You know when it is a periodic function if the values repeats in regular intervals or periods. An example of this is trigonometric functions that repeat over intervals of 2 pi radians.

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2 years ago

Peter drive 320 miles in 8 hours . calculate his average speed .

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Answer: 40

Step-by-step explanation:

You will take the miles he drove and divided it by the time it took him to get there

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3 years ago

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Definition: A histogram visualises the distribution of data over a continuous interval or certain time period. Each bar in a histogram represents the tabulated frequency at each interval.

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This shows that the data is symmetrical and the majority of the attendees were between the ages of 21 and 60 (40 times).

Answer: correct choice is B.

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3 years ago

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