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JulijaS [17]
3 years ago
14

What is the slope and y-intercept for y= -1

Mathematics
2 answers:
lianna [129]3 years ago
8 0
Quick Answer.
<span>To solve the slope of 3x + 2y = 8, the equation must first be put into slope intercept form with y on the left side and the remaining numbers on the right side. It can be transformed to 2y = -3x + 8, which will then be simplified down to y = -3/2x + 8. The slope of the line is </span>-3/2<span>.</span>
olasank [31]3 years ago
3 0
The slope is: 0
the y-intercept is: -1
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Avery deposited $1,250 in a new savings account. Determine which amount is closest to the balance of the account at the end of 3
makkiz [27]

Answer:

$1456.25

Step-by-step explanation:

Given data

P= $1,250

t= 3 years

r=5.5%

The compound interest expression is given as

A= P(1+r)^t

substitute

A=  1250(1+0.055*3)

A=  1250(1+ 0.165)

A= 1250(1.165)

A= 1456.25

Hence the amount after 3 years is $1456.25

8 0
3 years ago
A Nevada roulette wheel had 38 pockets, labeled as 0 00 1 2 3 ... 35 36. One bet is single number. If you bet $1 on a number (an
slavikrds [6]

Answer:

-0.0526

Step-by-step explanation:

Let X be the random variable denoting the net gain(in dollars) for a single trial(one bet).

Assuming that each number in the wheel is equally likely, probability of the outcome being a victory is \frac{1}{38} and probability of failure is \frac{37}{38}. For a win, X takes value 35 and for a loss X takes value -1. So the model is,

P(X=35) = \frac{1}{38}

P(X=-1) = \frac{37}{38}

P(X=i) = 0 \;if\; i \neq 38, i\neq -1

The mean for one bet is E(X) = \sum xP(X=x) = 35\times\frac{1}{38} - 1\times\frac{37}{38} = -0.0526

3 0
3 years ago
“encontrar la integral indefinida y verificar el resultado mediante derivación”
Oliga [24]

I=\displaystyle\int\frac x{(1-x^2)^3}\,\mathrm dx

Haz la sustitución:

y=1-x^2\implies\mathrm dy=-2x\,\mathrm dx

\implies I=\displaystyle-\frac12\int\frac{\mathrm dy}{y^3}=\frac1{4y^2}+C=\frac1{4(1-x^2)^2}+C

Para confirmar el resultado:

\dfrac{\mathrm dI}{\mathrm dx}=\dfrac14\left(-\dfrac{2(-2x)}{(1-x^2)^3}\right)=\dfrac x{(1-x^2)^3}

I=\displaystyle\int\frac{x^2}{(1+x^3)^2}\,\mathrm dx

Sustituye:

y=1+x^3\implies\mathrm dy=3x^2\,\mathrm dx

\implies I=\displaystyle\frac13\int\frac{\mathrm dy}{y^2}=-\frac1{3y}+C=-\frac1{3(1+x^3)}+C

(Te dejaré confirmar por ti mismo.)

I=\displaystyle\int\frac x{\sqrt{1-x^2}}\,\mathrm dx

Sustituye:

y=1-x^2\implies\mathrm dy=-2x\,\mathrm dx

\implies I=\displaystyle-\frac12\int\frac{\mathrm dy}{\sqrt y}=-\frac12(2\sqrt y)+C=-\sqrt{1-x^2}+C

I=\displaystyle\int\left(1+\frac1t\right)^3\frac{\mathrm dt}{t^2}

Sustituye:

u=1+\dfrac1t\implies\mathrm du=-\dfrac{\mathrm dt}{t^2}

\implies I=-\displaystyle\int u^3\,\mathrm du=-\frac{u^4}4+C=-\frac{\left(1+\frac1t\right)^4}4+C

Podemos hacer que esto se vea un poco mejor:

\left(1+\dfrac1t\right)^4=\left(\dfrac{t+1}t\right)^4=\dfrac{(t+1)^4}{t^4}

\implies I=-\dfrac{(t+1)^4}{4t^4}+C

4 0
3 years ago
This week Kent worked 15 hours at $12.50 an hour. His paycheck, including his commission, was $263.85. Ken wants to
EastWind [94]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Rational numbers with distribute property
Svetradugi [14.3K]

I'm not sure what this means. If you have choices you should list them.

(1/2)*(1/4 + 1/6) is an example of what should be given. There are two ways to solve this.

1. Use the distributive property.

1/2*1/4 + 1/2* 1/6

1/8 + 1/12 Which can be added using the LCD of 24

3/24 + 2/24 = 5/24

Method 2

Add what is inside the brackets first.

1/2 ( 1/4 + 1/6)

1/2(3/12 + 2/12 = 5/12

Now multiply by 1/2

1/2(5/12) = 5*1/(12 * 2) = 5 / 24 Same answer.

4 0
3 years ago
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