Select all statements that are true about the linear equation. y=−2x+4

Mathematics

1 answer:

Zolol [24]3 years ago

5 0

Answer:

Statement 3 and Statement 4 are true about linear equation is y=(-2)x+4

Step-by-step explanation:

The given linear equation is y=(-2)x+4

Now,

Statement 1: The graph of the equation is the set of all points on the coordinate plane.

No,

The graph of equation is set of points on the given equation of line.

Statement 2: The point(0,2) lies on the graph of the equation.

No,

The linear equation is y=(-2)x+4

For point (0,2)

2=(-2)0+4

2=4

FALSE, The point (0,2) does not lies on the graph of the equation.

Statement 3: The graph of the equation is the set of points that are solutions to the equation.

Yes,

The given linear equation is line and set of all point lies on the line are solution of the equation.

Statement 4: The point (1,2) lies on the the graph of the equation.

Yes,

The linear equation is y=(-2)x+4

For point (1,2)

2=(-2)1+4

2=2

TRUE, The point (1,2) lies on the graph of the equation.

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Use synthetic division to solve (2x^34x^2-35x15)/(x-3). What is the quotient?

victus00 [196]

Answer: quotient is 2x^2 + 10x - 5

Solution:

The first polynomial is miswritten.

The right one is: 2x^3 + 4x^2 - 35x + 15.

So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)

The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.

So, in this case it is:

3 | 2      4    -35    15
   ---------------------------------
    2     10     - 5      0

So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.

I like to show it in this other way:

   | 2     4     -35     15
   |
   |
3 |       +6    +30     -15
--------------------------------
    2     10    - 5         0

Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.

4 0

3 years ago

Consider the system of linear equations.

Nadusha1986 [10]

Answer:

The system has one solution.

Both lines have the same y-intercept.

The solution is the intersection of the 2 lines.

Step-by-step explanation:

Lines are