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4 years ago

Which relation is not a function?

Mathematics

2 answers:

Luba_88 [7]4 years ago

7 0

Answer:

A. {(9,3),(5,16),(6,8),(9,10),(11,13),(1,7)}

Explanation:

The first option is not a function because a single x-value cannot pair up to more than one y-value. We can see this occur in the ordered pairs below.

(9,3),(9,10)

rjkz [21]4 years ago

3 0

Answer:

First one

Step-by-step explanation:

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Factor 1/2 out of 1/2x - 33/2

babymother [125]

Answer:

Step-by-step explanation:

1/2x-33/2=1/2(x-33)

6 0

4 years ago

Find a particular solution to y" - y + y = 2 sin(3x)

leonid [27]

Answer with explanation:

The given differential equation is

y" -y'+y=2 sin 3x------(1)

Let, y'=z

y"=z'

$\frac{dy}{dx}=z\\\\d y=zdx\\\\y=z x$

Substituting the value of , y, y' and y" in equation (1)

z'-z+zx=2 sin 3 x

z'+z(x-1)=2 sin 3 x-----------(1)

This is a type of linear differential equation.

Integrating factor

$=e^{\int (x-1) dx}\\\\=e^{\frac{x^2}{2}-x}$

Multiplying both sides of equation (1) by integrating factor and integrating we get

$\rightarrow z\times e^{\frac{x^2}{2}-x}=\int 2 sin 3 x \times e^{\frac{x^2}{2}-x} dx=I$

$I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx -\int \frac{2\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx-\frac{2I}{3}\\\\\frac{5I}{3}=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{5}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{5} dx$

8 0

3 years ago

"the placement test for a college has scores that are normally distributed with a mean of 600 and a standard deviation of 60.if

Tanzania [10]

The cutoff will be evaluated as follows:
let the cutoff be x

but
P(x>0.01)=1-P(x<0.01)=1-0.01=0.99
the z value corresponding to 0.99% is z=2.33
thus
2.33=(x-600)/60
solving for x we get:
139.8=x-600
x=739.8

4 0

3 years ago

John bought 15 cookies and ate three of them he ate what percent of the cookies

hram777 [196]

Answer:

20%

Step-by-step explanation:

You would have to divide 3 by 15, then multiply by 100 to get your answer

5 0

4 years ago

Write the equation in standard form using integers.<br> y=-2/3x-3

alisha [4.7K]

Y= two divided 3 multiplied subtract three

8 0

3 years ago