Help! Brainliest to the first correct answer

graph the following functions to find how many points of intersection there are in y=(x+2)^2+3 and (x+2)^2+(y-2)^2=9

Finger [1]

Refer to the image that I attached to my answer.

According to the graphing calculator, the two equations have two points of intersections (the points where the different colored lines cross).

Happy Studying~

7 0

3 years ago

Help !!!!!!!!!!!!!!!!

geniusboy [140]

Answer:

Hey there!

5(v+3)-10v>-10

5v+15-10v>-10

-5v+15>-10

-5v>-25

v<5

Let me know if this helps :)

5 0

3 years ago

Read 2 more answers

Our faucet is broken, and a plumber has been called. The arrival time of the plumber is uniformly distributed between 1pm and 7p

Ymorist [56]

Answer:

$E(A+B) = E(A)+E(B)=4+0.5 =4.5 hours$

$Var(A+B)= Var(A)+Var(B)=3+0.25 hours^2=3.25 hours^2$

Step-by-step explanation:

Let A the random variable that represent "The arrival time of the plumber ". And we know that the distribution of A is given by:

$A\sim Uniform(1 ,7)$

And let B the random variable that represent "The time required to fix the broken faucet". And we know the distribution of B, given by:

$B\sim Exp(\lambda=\frac{1}{30 min})$

Supposing that the two times are independent, find the expected value and the variance of the time at which the plumber completes the project.

So we are interested on the expected value of A+B, like this

$E(A +B)$

Since the two random variables are assumed independent, then we have this

$E(A+B) = E(A)+E(B)$

So we can find the individual expected values for each distribution and then we can add it.

For ths uniform distribution the expected value is given by $E(X) =\frac{a+b}{2}$ where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

$E(A)=\frac{1+7}{2}=4 hours$

The expected value for the exponential distirbution is given by :

$E(X)= \int_{0}^\infty x \lambda e^{-\lambda x} dx$

If we use the substitution $y=\lambda x$ we have this:

$E(X)=\frac{1}{\lambda} \int_{0}^\infty y e^{-\lambda y} dy =\frac{1}{\lambda}$

Where X represent the random variable and $\lambda$ the parameter. If we apply this formula to our case we got:

$E(B) =\frac{1}{\lambda}=\frac{1}{\frac{1}{30}}=30min$

We can convert this into hours and we got E(B) =0.5 hours, and then we can find:

$E(A+B) = E(A)+E(B)=4+0.5 =4.5 hours$

And in order to find the variance for the random variable A+B we can find the individual variances:

$Var(A)= \frac{(b-a)^2}{12}=\frac{(7-1)^2}{12}=3 hours^2$

$Var(B) =\frac{1}{\lambda^2}=\frac{1}{(\frac{1}{30})^2}=900 min^2 x\frac{1hr^2}{3600 min^2}=0.25 hours^2$

We have the following property:

$Var(X+Y)= Var(X)+Var(Y) +2 Cov(X,Y)$

Since we have independnet variable the Cov(A,B)=0, so then:

$Var(A+B)= Var(A)+Var(B)=3+0.25 hours^2=3.25 hours^2$

3 0

3 years ago

Which number is irrational? A: √9 B: √8 C: 0.3333 D: 2/3 Answer fast please

Arisa [49]

$\sqrt{8}$ is an irrational number ⇒ answer B

Step-by-step explanation:

Let us explain the meaning of:

A rational number is a number that can be written as a fraction
An irrational number is a number that cannot be expressed as a fraction

Examples:

Rational numbers : 10 , $\frac{2}{5}$ , 0.333

Irrational numbers : π , √8 , ∛25 , (2 + √5) , $\frac{\sqrt{7}}{3}$

∵ $\sqrt{9}=3$

∵ 3 is a rational number

∴ $\sqrt{9}$ is a rational number

∵ $\sqrt{8}$

∵ There is no square root of 8

∴ $\sqrt{8}$ is an irrational number

∵ 0.3333 can be expressed as $\frac{3333}{10000}$

∴ 0.3333 is a rational number

∵ $\frac{2}{3}$ is a fraction

∵ All fractions are rational numbers

∴ $\frac{2}{3}$ is a rational number

$\sqrt{8}$ is an irrational number

Learn more:

You can learn more about real numbers in brainly.com/question/4853862

#LearnwithBrainly

5 0

3 years ago

25 POINT'S!!!!!!! HELP ASAP

nalin [4]

The answer is C., because the situation represents as $240 being the first night's price and the rest of the nights are $210.

4 0

3 years ago

Help! Brainliest to the first correct answer​

Help! Brainliest to the first correct answer