All categories

3 years ago

(06.01) Solve x + 3y = 9 3x − 3y = −13

Mathematics

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer:

Slove For X

x= -1

Solve for Y

Y= 10/3

Step-by-step explanation:

SO I did Elimination method

To isolate X and to solve for it

x+3y=9

3x−3y=−13

Add these equations to eliminate y:

4x=−4

Solve for X

x=-1

Now plug x back in to solve for y

You might be interested in

A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the proba

mario62 [17]

The probability of selecting a blue marble is 3/14. Hence, option D is the right choice.

The probability of any event is the chance of the occurrence of that event. It is given as the ratio of the number of favorable outcomes to the event to the total number of outcomes possible in the experiment.

If we consider an event A, the number of favorable outcomes to event A be n, and the total number of outcomes be S, then the probability of event A is given as:

P(A) = n/S.

Let us take the event of selecting a blue marble from the experiment of selecting a marble randomly from the bag be A.

The number of outcomes favorable to event A (n) = 3 {3 blue marbles}.

The total number of outcomes (S) = 14 {Total number of marbles in the bag = 4 red + 3 blue + 7 green = 14 marbles}.

Therefore, the probability of selecting a blue marble is,

P(A) = n/S = 3/14.

Hence, option D is the right choice.

Learn more about the probability of an event at

brainly.com/question/7965468

#SPJ10

4 0

2 years ago

The number of requests for assistance received by a towing service is a Poisson process with rate θ = 4 per hour.a. Compute the

aliya0001 [1]

Answer:

a) 9.93% probability that exactly ten requests are received during a particular 2-hour period

b) 13.53% probability that they do not miss any calls for assistance

c) 2

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Poisson process with rate θ = 4 per hour.

This means that $\mu = 4n$ , in which n is the number of hours.

a. Compute the probability that exactly ten requests are received during a particular 2-hour period.

n = 2, so $\mu = 4*2 = 8$

This is P(X = 10). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 10) = \frac{e^{-8}*8^{10}}{(10)!} = 0.0993$

9.93% probability that exactly ten requests are received during a particular 2-hour period

b. If the operators of the towing service take a 30-min break for lunch, what is the probability that they do not miss any calls for assistance?

n = 0.5, so $\mu = 4*0.5 = 2$

This is P(X = 0). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353$

13.53% probability that they do not miss any calls for assistance

c. How many calls would you expect during their break?

n = 0.5, so $\mu = 4*0.5 = 2$

4 0

3 years ago

You are moving the robot to your classroom, which measures 30 feet by 40 feet.

AlladinOne [14]

Answer:

1) See figure attached

a) $d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}$

And if we replace we got:

$d = \sqrt{(10 -6)^2 +(15 -9)^2}= 7.211$

b) $V = \frac{d}{t}$

And if we replace we got:

$V = \frac{7.211 ft}{2 sec}=3.606 s$

Step-by-step explanation:

Part 1

We can see the plot in the figure attached.

Part 2

For this case we have two points $(x_1 , y_1) = (6,9) , (x_2 , y_2) = (10,15)$

And we want to find the distance travelled between these two points and we can use the following formula from the euclidian distance between two points:

$d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}$

And if we replace we got:

$d = \sqrt{(10 -6)^2 +(15 -9)^2}= 7.211$

Since it takes two seconds in order to go from (6.9) to (10,15) we can use the definition of velocity:

$V = \frac{d}{t}$

And if we replace we got:

$V = \frac{7.211 ft}{2 sec}=3.606 s$

6 0

3 years ago

What is the equation of the line that is parallel to y=6x−1 and passes through the point (−3,4)?

BabaBlast [244]

Answer: y = 6x + 22

Step-by-step explanation:

Parallel lines have same slope. So, a line parallel to y = 6x − 1 is y = 6x + c.

Now to find c, put (-3,4) to this equation since the line passes through the point.

4 = 6 × -3 + c

4 = -18 + c

4 + 18 = c

c = 22

So, equation is y = 6x + 22

3 0

3 years ago

Read 2 more answers

Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an

alexdok [17]

Answer:N/B The amount is in thousands

The total amount earned by a Bachelor's person be $x:

amount earned by a masters person will be $(2x-38)

Total amount earned by the two individuals will be:

x+(2x-38)=115

solving for x we get:

x+2x-38=115

3x=115+38

3x=153

x=153/3

x=51

also:

2x-38=2*51-38=64

therefore we conclude that master's individual earns average of $ 64,000 while the Bachelor's individual earns $51,000.

Step-by-step explanation:plzzzzz give brainleyest

6 0

3 years ago