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yaroslaw [1]
4 years ago
5

Graph f(x)=−1.5x+6. Use the line tool and select two points to graph the line.

Mathematics
2 answers:
nydimaria [60]4 years ago
8 0
Most online schools allow you to use Desmos as a graphing calculator. Here is your graph.

vlada-n [284]4 years ago
4 0

Answer:

Given equation of the line,

f(x) = -1.5x + 6

If x = 0,

f(x) = -1.5(0) + 6 = 6

Thus, the line intersects the y - axis at (0, 6)

If f(x) = 0,

0=-1.5x + 6\implies -1.5x = -6\implies x = 4

Thus, the line intersects the x-axis at (4,0)

Plotting theses points in the given graph,

Then join them,

We get the graph of the given line.

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Dennis_Churaev [7]
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7 0
4 years ago
Solve the system by finding the reduced row-echelon form of the augmented matrix.
Alex

Answer:

The reduced row-echelon form is

\left[ \begin{array}{cccc} 1 & 0 & 6 & -10 \\\\ 0 & 1 & 2 & -3 \\\\ 0 & 0 & 0 & 0 \end{array} \right]

The solutions to the system of equations are:

y=-2z-3,\:x=-6z-10

Step-by-step explanation:

To solve this system of linear equations,

x-4y-2z=2\\2x-11y-10z=13\\-x+6y+6z=-8

you must:

Step 1: Transform the augmented matrix to the reduced row echelon form.

In an augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.

This is the augmented matrix that represents the system.

\left[ \begin{array}{cccc} 1 & -4 & -2 & 2 \\\\ 2 & -11 & -10 & 13 \\\\ -1 & 6 & 6 & -8 \end{array} \right]

It can be transformed by a sequence of elementary row operations to the matrix.

There are three kinds of elementary matrix operations.

  1. Interchange two rows (or columns).
  2. Multiply each element in a row (or column) by a non-zero number.
  3. Multiply a row (or column) by a non-zero number and add the result to another row (or column).

Using elementary matrix operations, we get that

Row Operation 1: add -2 times the 1st row to the 2nd row

Row Operation 2: add 1 times the 1st row to the 3rd row

Row Operation 3: multiply the 2nd row by -1/3

Row Operation 4: add -2 times the 2nd row to the 3rd row

Row Operation 5: add 4 times the 2nd row to the 1st row

\left[ \begin{array}{cccc} 1 & 0 & 6 & -10 \\\\ 0 & 1 & 2 & -3 \\\\ 0 & 0 & 0 & 0 \end{array} \right]

Step 2: Interpret the reduced row echelon form

The reduced row echelon form of the augmented matrix is

\left[ \begin{array}{cccc} 1 & 0 & 6 & -10 \\\\ 0 & 1 & 2 & -3 \\\\ 0 & 0 & 0 & 0 \end{array} \right]

which corresponds to the system

x+6z=-10\\y+2z=-3\\0=0

The system has infinitely many solutions.

y=-2z-3,\:x=-6z-10

4 0
4 years ago
In the figure below, points A, B, and C are on a straight line. What is the measure of angle DBE
Setler79 [48]

Answer:

The answer is J. 120

Step-by-step explanation:

hope it helps

4 0
2 years ago
Read 2 more answers
Stephanie played soccer for 2.25 hours before lunch. She played again in the afternoon for 1.5 hours how long did Stephanie play
Svetach [21]

Answer:

3.75 hours.

Step-by-step explanation:

Just add both of the decimals in the question to get the sum, which is 3.75.

7 0
3 years ago
Read 2 more answers
Atticus wants to buy 2/3 of a square yard of wrapping paper the paper cost $2.40 per yard how much will Atticus spend on wrappin
balu736 [363]

Atticus will spend $1.60 on wrapping paper.

Step-by-step explanation:

Given,

Cost of paper per yard = $2.40

Atticus wants to buy = 2/3

Cost of 2/3 yards of paper = \frac{2}{3}*2.40

Cost of 2/3 yards of paper = \frac{4.80}{3}

Cost of 2/3 yards of paper = $1.60

Atticus will spend $1.60 on wrapping paper.

Keywords: division, fraction

Learn more about fractions at:

  • brainly.com/question/9607945
  • brainly.com/question/9729310

#LearnwithBrainly

3 0
4 years ago
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