23.01.2023

What is true about the graph of the line y = - 2x + 9 ?

. 4

Faq

Mathematics
Step-by-step answer
P Answered by Specialist

Mark me as brain list

Step-by-step explanation:

correct answer would be: B = –2x – 8y = 8

There

Mathematics
Step-by-step answer
P Answered by Specialist

Mark me as brain list

Step-by-step explanation:

correct answer would be: B = –2x – 8y = 8

There

Mathematics
Step-by-step answer
P Answered by PhD

we have

y=-2x+4 ---------> equation 1

using a graph tool

see the attached figure

Statements

A The graph of the equation is the set of all points on the coordinate plane

This statement is False

Because

The graph of the equation  is the set of points that are solutions to the equation

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

This statement is True

see the attached figure

Verify

For x=1 find the value of y in the equation 1 and compare with the y-coordinate of the point

so

y=-2*1+4=2

2=2 --------> the point lies on the graph

C. The graph of the equation  is the set of points that are solutions to the equation

This statement is true

All ordered pairs (x,y) that satisfy y=-2x+4 are solutions of the equation

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

This statement is false

see the attached figure

Verify

For x=0 find the value of y in the equation 1 and compare with the y-coordinate of the point

so

y=-2*0+4=4

4\neq2 --------> the point not lies on the graph


Select all statements that are true about the linear equation:  y =  - 2x + 4 **hint :   (you may ha
Mathematics
Step-by-step answer
P Answered by PhD

we have

y=-2x+4 ---------> equation 1

using a graph tool

see the attached figure

Statements

A The graph of the equation is the set of all points on the coordinate plane

This statement is False

Because

The graph of the equation  is the set of points that are solutions to the equation

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

This statement is True

see the attached figure

Verify

For x=1 find the value of y in the equation 1 and compare with the y-coordinate of the point

so

y=-2*1+4=2

2=2 --------> the point lies on the graph

C. The graph of the equation  is the set of points that are solutions to the equation

This statement is true

All ordered pairs (x,y) that satisfy y=-2x+4 are solutions of the equation

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

This statement is false

see the attached figure

Verify

For x=0 find the value of y in the equation 1 and compare with the y-coordinate of the point

so

y=-2*0+4=4

4\neq2 --------> the point not lies on the graph


Select all statements that are true about the linear equation:  y =  - 2x + 4 **hint :   (you may ha
Mathematics
Step-by-step answer
P Answered by PhD
The correct answer is this one: "B) The graphs open downward. " Negative quadratic functions will give you a downward graph.

The equations 
y = -1/2x^2 + 2
y = -2x^2 + 3
y = -3/4x^2
y = -4/5x^2 - 5

are all negative. So they are facing downward.
Mathematics
Step-by-step answer
P Answered by Specialist
1. Multiply the second line by 4: 4x+4y=16. They are the same line so there are infinitely many solutions.

2. Substitute for y.
x+(2x+10)=-2
3x+10=-2
3x=-12
x=-4

Plug x in
-4+y=-2
y=2

Final (-4,2)

3. The answer is the first one because the solution is always where two lines intersect. The crossing of the x axis, y axis, and origin are irrelevant.

4. 2x+4=3x+1. This is because both equations define the value of y and therefore must be equivalent.

5. Infinitely many solutions. If you multiply the second equation by -3, you can tell it's coinciding or the same line.
Mathematics
Step-by-step answer
P Answered by PhD
The correct answer is this one: "B) The graphs open downward. " Negative quadratic functions will give you a downward graph.

The equations 
y = -1/2x^2 + 2
y = -2x^2 + 3
y = -3/4x^2
y = -4/5x^2 - 5

are all negative. So they are facing downward.
Mathematics
Step-by-step answer
P Answered by Specialist
1. Multiply the second line by 4: 4x+4y=16. They are the same line so there are infinitely many solutions.

2. Substitute for y.
x+(2x+10)=-2
3x+10=-2
3x=-12
x=-4

Plug x in
-4+y=-2
y=2

Final (-4,2)

3. The answer is the first one because the solution is always where two lines intersect. The crossing of the x axis, y axis, and origin are irrelevant.

4. 2x+4=3x+1. This is because both equations define the value of y and therefore must be equivalent.

5. Infinitely many solutions. If you multiply the second equation by -3, you can tell it's coinciding or the same line.
Mathematics
Step-by-step answer
P Answered by PhD
D) The graphs are symmetric about the y-axis.

Step-by-step explanation:

The given equations are

y=-\frac{1}{2}x^{2} +2\\y=-\frac{3}{4} x^{2} \\y=-\frac{4}{5}x^{2}  -5\\y=-2x^{2} +3

Notice that all given equations have a negative quadratic term.

Remember that the form of a quadratic equation is

y=ax^{2} +bx+c

Where a is the coefficient of the quadratic term.

When a, the parabola that represents the equation opens downward, because the quadratic term is negative.

Therefore, in this case, the common charactersitc between all equations is that they all represent a parabola which opens downward.

However, there's another characteristic. All parabolas are symmetrical about the y-axis, because the square power has only x-variable inside.

Therefore, the right answer is D.

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