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3 years ago

Determine the input value for which the statement f(x) = g(x) is true.

Mathematics

2 answers:

Zinaida [17]3 years ago

8 0

Esnbsbsbsakakaappoiaajuiqiqiqj

Naya [18.7K]3 years ago

3 0

Answer:

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Step-by-step explanation:

Sxpreme

2 years ago

wtf u good bitch?

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Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looke

Vsevolod [243]

This is easy!
The overall amounts of flips is 32, which puts it on the bottom. It gave you a number of times you flipped it and received 8.

Giving us 8/32
which is 1/4 and in percentage form it is 25%

6 0

2 years ago

Need some help with this please

amm1812

Answer: The answer is that he cleaned one room

Step-by-step explanation:

Because he charged in total 77 dollars and he charged 77 dollars per room, so 77*1=77=c

6 0

3 years ago

Write down the explicit solution for each of the following: a) x’=t–sin(t); x(0)=1

Kay [80]

Answer:

a) x=(t^2)/2+cos(t), b) x=2+3e^(-2t), c) x=(1/2)sin(2t)

Step-by-step explanation:

Let's solve by separating variables:

$x'=\frac{dx}{dt}$

a) x’=t–sin(t), x(0)=1

$dx=(t-sint)dt$

Apply integral both sides:

$\int {} \, dx=\int {(t-sint)} \, dt\\\\x=\frac{t^2}{2}+cost +k$

where k is a constant due to integration. With x(0)=1, substitute:

$1=0+cos0+k\\\\1=1+k\\k=0$

Finally:

$x=\frac{t^2}{2} +cos(t)$

b) x’+2x=4; x(0)=5

$dx=(4-2x)dt\\\\\frac{dx}{4-2x}=dt \\\\\int {\frac{dx}{4-2x}}= \int {dt}\\$

Completing the integral:

$-\frac{1}{2} \int{\frac{(-2)dx}{4-2x}}= \int {dt}$

Solving the operator:

$-\frac{1}{2}ln(4-2x)=t+k$

Using algebra, it becomes explicit:

$x=2+ke^{-2t}$

With x(0)=5, substitute:

$5=2+ke^{-2(0)}=2+k(1)\\\\k=3$

Finally:

$x=2+3e^{-2t}$

c) x’’+4x=0; x(0)=0; x’(0)=1

Let $x=e^{mt}$ be the solution for the equation, then:

$x'=me^{mt}\\x''=m^{2}e^{mt}$

Substituting these equations in c)

$m^{2}e^{mt}+4(e^{mt})=0\\\\m^{2}+4=0\\\\m^{2}=-4\\\\m=2i$

This becomes the solution m=α±βi where α=0 and β=2

$x=e^{\alpha t}[Asin\beta t+Bcos\beta t]\\\\x=e^{0}[Asin((2)t)+Bcos((2)t)]\\\\x=Asin((2)t)+Bcos((2)t)$

Where A and B are constants. With x(0)=0; x’(0)=1:

$x=Asin(2t)+Bcos(2t)\\\\x'=2Acos(2t)-2Bsin(2t)\\\\0=Asin(2(0))+Bcos(2(0))\\\\0=0+B(1)\\\\B=0\\\\1=2Acos(2(0))\\\\1=2A\\\\A=\frac{1}{2}$

Finally:

$x=\frac{1}{2} sin(2t)$

7 0

3 years ago

ANYONE IM RUNNING OUT OF TIME!!!!!

adelina 88 [10]

Answer:

Y= -5/2x+3

Step-by-step explanation:

A perpendicular slope is always opposite (meaning if the original is negative, then it is positive and vice versa) and reciprocal (meaning the numerator and denominator of the original are flipped).

The y intercept I found by applying the slope to the point given.

8 0

2 years ago

Read 2 more answers

A triangular window pane has a base of 30 inches and a height of 24 inches what is the area of the window pane

Lesechka [4]

The answer is 360in,hope this help!

5 0

3 years ago