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Naily [24]
3 years ago
10

I will ive brainliest answer

Mathematics
2 answers:
yarga [219]3 years ago
8 0

The red line is y=1/2x -4 while the blue one is y=-2x+1. It's the last statement

iogann1982 [59]3 years ago
8 0

For this case what you should do is see the point of intersection of both graphics.

The point of intersection represents the solution of the system of equations.

We have then that the solution is given by:

(x, y) = (2, -3)

We have then that the system of equations is:

(1/2) x-4 = -2x + 1

Substituting the value of x = 2 the result on both sides of the equation must be -3.

We have then:

(1/2) (2) -4 = -2 (2) +1\\1-4 = -4 + 1\\-3 = -3

Abswer:

(1/2) x-4 = -2x + 1

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What is a simplified form of the expression 2(–x + 2) + 3x?
Brrunno [24]

In the simplified form the expression is x+4

6 0
2 years ago
Read 2 more answers
Suppose there are 200 lockers and 200 students. Kayla reasons that since there are 10
Rus_ich [418]

Answer:

Kayla's reasoning is not correct.

Step-by-step explanation:

The locker problem is as follows:

Imagine you are at a school that has student lockers. There are 200 lockers, all shut and unlocked, and 200 students. Suppose the first student goes along the row and opens every locker. The second student then goes along and shuts every other locker beginning with number 2. The third student changes the state of every third locker beginning with number 3. (If the locker is open the student shuts it, and if the locker is closed the student opens it). The fourth student changes the state of every fourth locker beginning with number 4. Imagine that this continues until the 200 students have followed the pattern with the 200 lockers. At the end, which lockers will be open and which will be closed? Why?

Solution:

So from the information we know that the first student goes along the row and opens every locker.

Then the second student shuts every other locker, i.e. locker numbers 2, 4, 6, 8, 10, ..., 196, 198 and 200.

Then the third students changes the state of every third locker, i.e. he/she closes an open locker and opens a closed locker.

So the open lockers are: 1, 5, 6, 12,...

Then the fourth students changes the state of every fourth locker.

So the open lockers are: 1, 4, 5, 6, 8,....

So, on we will observe that the open lockers have a perfect square number such as, 1, 4, 9, 16,....

Consider that the pattern is as follows:

Student 1 opens the locker, Student 2 closes it, Student 3 opens it, person 4 Student and so on.

This is because the square numbers always have an odd number of factors, which leads them to be open at the end.

Take any locker number, 40, for example. Its state (open or closed) is changed for every student whose number in line is a factor of the locker number.

Student      Locker 40 status

     1                    Open

     2                   Close

     4                   Open

     5                   Close

     8                   Open

     10                  Close

    20                  Open

    40                  Close

Like all other lockers numbered with non-square numbers, it ends up closed after all the students have gone through the line because it has an even number of factors.

Consider the locker number 16:

Student      Locker 16 status

     1                    Open

     2                   Close

     4                   Open

     8                   Close

     16                  Open

Thus, we can conclude that all the doors with square numbers on them will remain open because all square numbers have an odd number of factors and the doors with non-square numbers on them will remain close because they have even number of factors.

There will be a total of 14 lockers open.

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169 and 196

So, if there are 10 lockers open in the first 100 lockers there must be only 4 other lockers opened in the next 100.

5 0
2 years ago
Could anybody give me some help? I'm a little confused .-. <3
nika2105 [10]
What your teacher wants is for you to isolate y in the given equation. In other words, get y all by itself. 

To do this, you'll do two basic steps:
Step 1) Subtract 2x from both sides
Step 2) Divide both sides by 3

Let's do that and we get...
2x+3y = 1470
2x+3y-2x = 1470-2x ... apply step 1
3y = 1470-2x
3y = -2x+1470
3y/3 = (-2x+1470)/3 ... apply step 2 
y = (-2x)/3 + 1470/3
y = (-2/3)x + 490

After isolating y, we get y = (-2/3)x + 490
To get this into function notation, we simply replace y with f(x) to get the final answer f(x) = (-2/3)x+490 which is the same as writing f(x) = -\frac{2}{3}x+490

This graph represents all of the ordered pairs (x,y) that make the original equation true. For example, the point (x,y) = (0,490) is on the line where x = 0 and y = 490. This point is when 0 sandwiches are sold and 490 wraps are sold yielding a profit of $1470. Another point on this line is (x,y) = (3,488). Now 3 sandwiches have been sold along with 488 wraps leading to the same profit of $1470. Any ordered pair point you pick on the line should lead you to the same profit. 
3 0
3 years ago
Elliott is 63 inches tall, which is 9inches taller than cousin, Jackson.write and solve an addition equation to find Jackson hei
Nataly [62]

Answer:

J + 9 = 63

Jackson = 54 inches

Step-by-step explanation:

Using the variable 'J' for the height of Jackson, we know that Elliott is Jackson's height, plus an additional 9 inches.  Since Elliott is 64 inches tall in total, we can add Jackson's height plus 9 to get Elliot's height:

Jackson's height + 9 inches = Elliot's height

J + 9 = 63

Subtract '9' from both sides: J + 9 - 9 = 63 - 9 or J = 54

So, Jackson is 54 inches tall.

3 0
3 years ago
Can you show your work for me on divided Omg 0.6 and 12.9
Anna007 [38]
0.6 divided by 12.9.

0.6 is outside the house for the divide then inside the house is 12.6
then you move your decimal point over 1 place so its 06 divide by 126. 
after that 6 goes into 12 twice then your have a remainder of 09 then 6 goes into 9 once, our remainder is 3, then you put a 0 at the end of the decimal point of the 126. after that you bring down your zero and 6 goes into 30 five times.
Answer 21.5
5 0
3 years ago
Read 2 more answers
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