Which point keeps the set of ordered pairs a function {(1,-2).(-2,4), (5,0)}

You triple your account balance by making a deposit. Then you withdraw $28.50 from your bank account. Now your account is overdr

Crazy boy [7]

Answer:

Your original account balance before you made the deposit is $6

Step-by-step explanation:

Let x = your original account balance.

You triple your account balance by making a deposit. This means

New account balance = 3 × x = 3x

Then you withdraw $28.50 from your bank account. This means that you have $(3x - 28.5) left.

Now your account is overdrawn by $10.50. This means you have withdrawn beyond what you have in your account. Your new account balance is -$10.5. Therefore,

3x - 28.5 = - 10.5

3x = -10.5 + 28.5 = 18

x = 18/3 = 6

Your original account balance before you made the deposit is $6

8 0

3 years ago

For all values of x<br> f(x) = 3x + 2<br> Find f-¹(-12)

Novosadov [1.4K]

Answer:

-4.67

Step-by-step explanation:

first find f^-1(x)

let f(x)=y

y=3x+2

3x=y-2

x=y-2/3

Therefore f^-1(x)=x-2/3

Now f^-1(-12)=-12-2/3

=-14/3

=-4.67

8 0

2 years ago

Which of the following are factors of the

iogann1982 [59]

Hello,

1. x=10

2. x=1

Have a nice day!

7 0

3 years ago

There are 18 boys in a class there are w fewer boys than girls how many students are there in the class

Pachacha [2.7K]

The Number of boys in the class is: 18

Let's call "g" to the number of girls in the class.

The problem says that there is "w" fewer boys than girls, so we have:

g-w=18

Then, the number of girls in the class is:

g=18+w

Let's call "x" to the total number of studens in the class:

x=g+18

When we substitute g=18+w into x=g+18, we obtain:

x= (18+w)+18

The total number of studens in the class is:

x=w+36

6 0

3 years ago

The Director of Admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

VMariaS [17]

Answer:

Variance = 24900

Standard Deviation = 157.7973

Step-by-step explanation:

We are given the following in the question:

Number of admissions: 1000 1200 1500

Admissions Probability: 0.6 0.3 0.1

Formula:

$E(x) = \displaystyle\sum x_iP(x_i)\\E(x) = 1000(0.6) + 1200(0.3) + 1500(0.1)\\E(x) = 1110\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\E(x^2) = (1000)^2(0.6) + (1200)^2(0.3) + (1500)^2(0.1)\\E(x^2) = 1257000$

Variance =

$\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 1257000 -(1110)^2\\\sigma^2 =24900$

Thus, the variance is 24900.

Standard Deviation =

$\sigma = \sqrt{\sigma^2} = \sqrt{24900} = 157.7973$

Thus, the standard deviation is 157.7973

7 0

3 years ago