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Morgarella [4.7K]
3 years ago
13

Determine if the statement is true or false. Any linear system with more variables than equations cannot have a unique solution.

True False
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
7 0

Answer:

True

Step-by-step explanation:

A linear system of equations will have a unique solution if and only if the number of variables equal the number of independent equations.

By independent equations we mean the same equation not repeated by multiplying by any constant.

Suppose number of variables are n, we must have the determinant formed by the coefficients non zero to have a unique solutions.

Here the no of equations are less than the number of variables.  So we cannot have a unique solution but can have a parametric solution using the number of parameters as n-m where n = number of variables and m = the number of independent equations given.

So the given statement is true.

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Find the y-intercept and the slope of the line<br><br> y=-x+7<br><br> y-intercept:<br> slope:
Ipatiy [6.2K]

Answer:

The y-intercept would be 7

The slope would be -1 or -1/1. They are both the same thing.

The slope is the number which is located directly to the left of the variable (the variable in this case is x, but in other situations it could be a totally different letter).

5 0
3 years ago
What is the value of x?<br><br> What is the value of y?
Rudik [331]

Answer:

Y= 20

X= 25

Step-by-step explanation:

The angles of a triangle have to equal 180

So

80+60 = 140

180 - 140 = 40

40/2 = 20

Y = 20

The angles of a linear line split equal 180

So

2y is one side of it which we learned Y = 20 which makes that side 40

To find the other side just guess and check

6(25) = 150

150 - 10 = 140

So the 2y = 40 and the (6x-10) = 140

So yea boom done

6 0
3 years ago
The length of a rectangular prism is 8
Lena [83]
Surface area is:

W=width
L=length
H=height

S=2*(L*W+L*H+W*H)

replacing the values

250=2*(8*W+8*1+W*1)

250=2*(8*W+8+W)

250=2*(9*W+8)

dived each member by 2

125=9W+8

9W=125-8

9W=117

\boxed{\boxed{W=13~unit~of~measure}}

The volume of a rectangular prism is

V=L*H*W

V=8*1*13

\boxed{\boxed{V=104~unit~of~volume}}
3 0
3 years ago
SOMEONE PLEASE HELP ME!!!!!!
VashaNatasha [74]

Answer:

There are multiple possibilities. One is there are 12 boys, and 16 girls. 12+16= 28 which is between 20 and 30. That would be 12:16, which can be simplified to 3:4. There is also 9 boys, and 12 girls. that would be 9:12, which can be simplified to 3:4. Also, 9 + 12 = 21, which is between 20 and 30.

7 0
3 years ago
Express the fractions 1/2, 3/16, and 7/8 with an LCD. A. 1/4, 3/4, and 7/4 B. 8/16, 3/16, and 14/16 C. 1/32, 3/32, and 7/32 D. 4
I am Lyosha [343]
B. 8/16, 3/16, and 14/16
7 0
3 years ago
Read 2 more answers
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