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pshichka [43]
3 years ago
15

I really need help with this question ​

Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

In the matrix, the first row is exactly twice the second. This implies that the determinant is zero.

If the matrix system has determinant zero, the system has either no solutions or infinite solutions.

However, just like in the matrix, in the constant vector the first term is twice the second. This means that the system has infinite solutions.

In fact, if you write this system in expanded form, you can see that it generates two equations, the first being twice the second:

\begin{cases}2x+4y=6\\x+2y=3\end{cases}

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A group of 20 students includes 5 students in sixth grade, 8 students in seventh grade, and 7 students in eighth grade. Each stu
inessss [21]

Answer:

2/5; 0.4; 40%

Step-by-step explanation:

Probability is going to be the number of seventh graders divided by the total number of students.

In this case, there are 8 seventh graders and 20 students. So, set up your fraction to be 8/20. This can be simplified to 2/5.

Now, you can divide 2/5 using long division or use your calculator, if permitted, to convert 2/5 to a decimal. You will get 0.4.

You can also figure this out by thinking that 2/5 = 4/10, so 4/10 = 0.4.

Now for percents, just move the decimal point of a decimal number two spaces to the right. If we have 0.40, we move the decimal point to the right twice to get 40, and add the percent sign to get 40%.

7 0
3 years ago
Read 2 more answers
The distance on a map between two cities is 6.5 cm if 1 cm = 8k on the map how many miles are the two cites apart from each othe
DedPeter [7]

So firstly, we have to convert 6.5 cm into km. Do this by multiplying 6.5 by 8:

6.5\times 8=52\ \textsf{km}

Next, we have to convert km to miles. Do this by multiplying 52 by 0.621:

52\times 0.621=32.292\ \textsf{mi}\ \approx 32.3\ \textsf{mi}

<u>The cities are (rounded to the tenths) 32.3 miles from each other.</u>

6 0
3 years ago
Please help I need it so bad
Elis [28]

Answer:

y ≤ 3x - 2  and  4x + y ≥2

Step-by-step explanation:

We can easily solve this problem by using a plotting tool or any graphing calculator.

We test each case, until we arrive to the correct option

Case 1

y ≤ 3x - 2  and  4x + y ≥2

Correct Option.

Please see attached image for graph

6 0
3 years ago
In the diagram below. C is an equal distance to A and B.
Fynjy0 [20]

Answer:

C(50;-20)

Step-by-step explanation:

The question is asking for the midpoint of the line.

The triangle is formed by placing a line directly from the y-axis to the x-axis.

The midpoint theorem is[ (x1+x2)/2 ; (y1+y2)/2 ].

your coordinates at A is (0;-40), because the x value is 0 on the line as shown in the diagram above point A.

Your coordinates for B are (100;0)

C[(x1+x2)/2 ; (y1+y2)/2 ]

C [(0+100)/2 ; (-40+0)/2 ]

C[ 100/2 ; -40/2]

C (50 ; -20)

7 0
3 years ago
Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
Aloiza [94]

9514 1404 393

Answer:

  y = 4

Step-by-step explanation:

The given points are on the horizontal line ...

  y = 4

This is the standard-form equation of that line.

7 0
3 years ago
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