All categories

3 years ago

Solve the system of equations using multiplication.

Mathematics

1 answer:

salantis [7]3 years ago

6 0

Answer:

B. (-3, -2)

Step-by-step explanation:

Multiply the first equation by -1/3 and add the result to the second equation.

-1/3(3x -3y) +(5x -y) = -1/3(-3) +-13

4x = -12 . . . . simplify

x = -3 . . . . . . divide by 4

Substituting this into -1/3 times the first equation, we get ...

-(-3) +y = 1

y = -2 . . . . . . . subtract 3

The solution is (x, y) = (-3, -2).

You might be interested in

When simplified, what is the value of square root of negative 45 end square root,if i2 = −1?

Schach [20]

Answer:
√-45
i√45
i√9 * √5
3i√5

7 0

3 years ago

Imagine you are a financial analyst at an investment bank. According to your research of publicly-traded companies, 60% of the c

lilavasa [31]

Answer:

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

Event A: Company fires the CEO

Event B: Shares increase by more than 5%.

Probability of a company firing it's CEO:

35% of 100 - 4 = 96%(shares did not increase by more than 5%).

60% of 4%(shared did increase by more than 5%).

$P(A) = 0.35*0.96 + 0.6*0.04 = 0.36$

Intersection of events A and B:

Fires the CEO and shared increased by more than 5%, is 60% of 4%. So

$P(A \cap B) = 0.6*0.04 = 0.024$

Probability that the shares of a company that fires its CEO will increase by more than 5%.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.024}{0.36} = 0.0667$

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

5 0

2 years ago

Solve the equation x2 – 12x =9

lord [1]

$x = 3 \sqrt{5} + 6 = 12.708203$

3 0

3 years ago

Stephanie is making 10 bracelets a day to prepare for an upcoming craft fair. Mary has offered to help Stephanie make bracelets

ankoles [38]

Answer:

11 bracelets a day

Step-by-step explanation:

7 0

3 years ago

Write the equation of the line that passes through the given points<br> (0,2)) and (-9, -3)

Irina18 [472]

Step-by-step explanation:

Y= m x+ C

m (slope ) = 2 - (_3) / 0 _( - 9 )

= 5 / 9

( O, 2 ) Satisfying equation

2= 5/9 ( 0) + C

C= 2

So eq. is

y= 5/ 9 X + 2

7 0

3 years ago