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7nadin3 [17]
3 years ago
10

Which values of m and b will create a system of equations with no solution? Select two options. y = mx + b y = –2x + A system of

equations. y equals m x plus b. y equals negative 2 x plus StartFraction 3 over 2 EndFraction. A coordinate grid with a line labeled y equals negative 2 x plus StartFraction 3 over 2 EndFraction and passes through the points (9, 1.5) and (1, 0.5). m = –3 and b = m equals negative 3 and b equals negative StartFraction 2 over 3 EndFraction. m = –2 and b = m equals negative 3 and b equals negative StartFraction 1 over 3 EndFraction. m = 2 and b = m equals 2 and b equals negative StartFraction 2 over 3 EndFraction. m = m equals StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction and b = m equals negative StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction m = -2 and b = m equals negative 2 and b equals negative StartFraction 2 over 3 EndFraction

Mathematics
2 answers:
Nuetrik [128]3 years ago
5 0

Answer:

m = -2 and b = -1/3

m = -2 and b = -2/3.

Step-by-step explanation:

y = -2x - 1/3

y = -2x - 2/3

This system has no solutions because y cannot be 2 different values at once.

Kay [80]3 years ago
3 0

Answer:

B, E

Step-by-step explanation:

Given the first function:

y=-2x+\frac{2}{3}

A Linear System with no solutions is graphically represented by two parallel lines, therefore with the same slope. So in this case, m has to be equal to -2.

And to this inconsistent system, if the linear parameter is not so relevant. So if m=-2 then <em>b</em> may be either equal to -1/3 or -2/3 according to the options.

Given the alternatives

No Solution System:

\left\{\begin{matrix}y=-2x+\frac{2}{3} & \\ y=-2x-\frac{1}{3} & \end{matrix}\right.

Or

\left\{\begin{matrix}y=-2x+\frac{2}{3} & \\ y=-2x-\frac{2}{3} & \end{matrix}\right.

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Y= 2x +2
Airida [17]

Answer:

The system has one solution, at a single point of intersection.

Step-by-step explanation:

I'm going to assume that g and y are the same thing here, on a normal xy-coordinate plane. If there is actually a third dimension, 'g', then I am probably wrong, and I apologize.

For a system of 2 linear equations, a 'solution' is a point of intersection for the two lines.

If the two lines are parallel, they will have no intersection. These two equations are in the form y = mx + b, where m is the slope. <u>If their slopes are the same, then the lines are parallel.</u> The first equation has a slope of 2. The second equation has a slope of 6. 2 ≠ 6, obviously. They are are <u>not </u>parallel, so there is <u>at least one</u> solution (intersection)

If two equations are 'equivalent', then they represent the same exact line and you cannot find a unique solution to the system because there is no single point where they intersect. They intersect at <u>all </u>points, so there are an infinite number of solutions. Two equations in the same format (like point-slope) will be equivalent if you see that one is just a multiple of the other. That is not the case here. They are not equivalent, so there are not an infinite number of solutions.

For the intersection of two lines in a plane, that intersection is no point, 1 point, or infinite points.

We have ruled out no point and we have ruled out infinite points.

There must be a solution of one point where the two lines intersect.

That would be consistent with answers B and E as shown in your Brainly question.

4 0
3 years ago
Read 2 more answers
Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes a
Luden [163]
1\frac{1}{8} =  \frac{9}{8} = 1.125, &#10; \\ 75*1.125= 84.375

84.375 is the profit ALREADY made, so now subtract that from 180 dollars to get
95.625 $ needed, now divide by amount of profit per box...

Answer should be 85 boxes

4 0
3 years ago
Help please with this
Elena-2011 [213]
Negative reciprocals of each other
3 0
2 years ago
I need help. Thank you.
Oduvanchick [21]

Answer:

D

A=-5

Step-by-step explanation:

4 0
3 years ago
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The diameter of the circle above is 92 cm. What is the circumference of the circle? Use = 3.14
Mice21 [21]
C=d\pi
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8 0
3 years ago
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