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Verdich [7]
3 years ago
7

Which values, when placed in the box, would result in a system of equations with no solution? Check all that apply.

Mathematics
2 answers:
son4ous [18]3 years ago
8 0

For this case we have the following system of equations:

y = -2x + 4\\6x + 3y =

Rewriting equation 1 we have:

2x + y = 4

Therefore, the equivalent system is:

2x + y = 4\\6x + 3y =

The system will have no solution, if we write equation 2 as a linear combination of equation 1.

Therefore, since both lines have the same slope, they are parallel.

Parallel lines do not intersect when they have different cut points.

Therefore, there is no solution for:

-12, -4, 0, 4

The system has inifinites solutions for:

12

This is because the lines intersect at all points in the domain.

Answer:

The values, when placed in the box, would result in a system of equations with no solution are:

A: -12

B: -4

C: 0

D: 4

Sav [38]3 years ago
3 0

Answer:

Thus, option (a), (b) , (c) , (d) are correct.

The system will have no solution for all values except 12.

Step-by-step explanation:

 Given a system of equation y = –2x + 4  and 6x + 3y = ?

We have to check for which value the '?'  would result in a system of equations with no solution.

Consider a system of equation  a_1x+b_1y+c_1=0 \\\\a_2x+b_2y+c_2=0

For the system to have no solution the condition is,

\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}

For the given system of equation ,

Let unknown quantity be v.

y = –2x + 4   ⇒ 2x +y - 4 = 0  

and 6x + 3y = v ⇒  6x + 3y - v =0

On comparing, we get,

a_1=2 , b_1=1,c_1=-4\\\\\a_2=6,b_2=3,c_3=-v

Substitute the values in condition for no solution , we get ,

\frac{2}{6}=\frac{1}{3}\neq \frac{-4}{-v}

Consider second and third ratio, we get,

\frac{1}{3}\neq \frac{-4}{-v}

Solve for v , we get,

\frac{1}{3}\neq \frac{-4}{-v} \\\\ \Rightarrow v \neq 12  

Thus, for all values v except v = 12

The system will have no solution

at v = 12 the system will have infinite many solution.

Thus, option (a), (b) , (c) , (d) are correct.

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Answer:

<h3>324 ft²</h3>

Step-by-step explanation:

We have the triangle and the rectangle.

The formula of an area of a triangle:

A_{\triangle}=\dfrac{1}{2}bh

b - base

h - height

The formula of an area of a rectangle:

A_{\boxed{\ }}=lw

l - length

w - width

We have b = 24 ft, h = 7 ft, l = 24 ft and w = 10 ft.

Substitute:

A_\triangle=\dfrac{1}{2}(24)(7)=(12)(7)=84\ ft^2

A_{\boxed{\ }}=(24)(10)=240\ ft^2

The area of the figure:

A=A_{\triangle}+A_{\boxed{\ }}

Substitute:

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3 years ago
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Answer:

u = 4

Step-by-step explanation:

Divide by 16 on both sides. [Division Property of Equality]

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==================================================================<em>Hope I Helped, Feel free to ask any questions to clarify :) </em>

<em> Have a great day! </em>

<em> More Love, More Peace, Less Hate. </em>

<em>      -Aadi x</em>

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yawa3891 [41]

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Step-by-step explanation:

The zeros are the values of x for which y = 0

Quadratic formula

x = [5 ± √(5² – 4·1·6)] / [2·1]

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Answer:

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Step-by-step explanation:

Mean = Sum of all observations / Number of observations.

Mean = (49+49+54+55+52+49+52)/7

Mean = 360/7

Mean = 51.4 (to the nearest tenth).

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Median = The central value of the data.

First, arrange the data in the ascending order: 49, 49, 49, 52, 54, 55, 55.

It can be seen that the middle value is 52. Therefore, median = 52!!!

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