All categories

3 years ago

Solve each system by graphing.

Mathematics

1 answer:

Kryger [21]3 years ago

3 0

9514 1404 393

Answer:

(x, y) = (4, -4)

Step-by-step explanation:

A graphing calculator makes graphing very easy. The attachment shows the solution to be (x, y) = (4, -4).

The equations are in slope-intercept form, so it is convenient to start from the y-intercept and use the slope (rise/run) to find additional points on the line.

The first line can be drawn by staring at (0, -2) and moving down 1 grid unit for each 2 to the right.

The second line can be drawn by starting at (0, 2) and moving down 3 grid units for each 2 to the right.

The point of intersection of the lines, (4, -4), is the solution to the system of equations.

You might be interested in

Akron Cinema sells an average of 500 tickets on Mondays, with a standard deviation of 50 tickets. If a simple random sample is t

Paha777 [63]

Answer:

Step-by-step explanation:

Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as

z = (x - u)/s

Where

x = ticket sales from monday

u = mean amount of ticket

s = standard deviation

From the information given,

u = 500 tickets

s = 50 tickets

We want to find the probability that the mean will be greater than 510. It is expressed as

P(x greater than 510) = 1 - P(x lesser than or equal to 510)

For x = 510

z = (510 - 500)/50 = 0.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.9773

P(x greater than 510) = 1 - 0.9773 = 0.0227

7 0

3 years ago

Read 2 more answers

a combination of two rigid transformations on a preimage will always/ sometimes/never produce the same image when taken in a dif

kifflom [539]

If you apply two translations, then order doesn't matter. However, if you apply a translation and a rotation, then the order will matter because you'll be able to get two different image outputs. So it depends on what the transformations are.

Answer: Sometimes

6 0

3 years ago

Read 2 more answers

A construction worker has a cable that is 8 yards long. He wants to cut it into 9 equal-length pieces. How long will each piece

coldgirl [10]

I think it would be B. hope this helps!

7 0

3 years ago

Read 2 more answers

You blindfold your friend. You give him a bowl that contains 10 silver marbles and 6 black marbles. What is the minimum number o

ki77a [65]

Answer:

16 marbles.

Step-by-step explanation:

Since your friend is blindfolded the only actual way for him to be completely sure that they picked out all 6 black marbles would be to pick out all of the marbles until none are left. As long as there is even one marble in the bag then your friend will still not be sure which color it is due to being blindfolded. Therefore, under these circumstances the answer would be 16 marbles.

8 0

3 years ago

If I got 68 right out of 85 on my test, what would my score be?

umka2103 [35]

It would be an 80%

Hope that hleps!!!

8 0

3 years ago

Read 2 more answers

￼ Solve each system by graphing.

Solve each system by graphing.