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AnnyKZ [126]
3 years ago
15

Suppose a system of linear equations has a 3 5 augmented matrix whose fifth column is a pivot column. is the system consistent?

why (or why not)? 4
Mathematics
1 answer:
likoan [24]3 years ago
7 0

Answer:

The system will be inconsistent.

Step-by-step explanation:

We are given that a system of linear equations has a 3×5 augmented matrix whose fifth column is a pivot column.

Then such a system is not consistent because since the augmented matrix has a pivot in fifth column it means that the new column added to the matrix A will lead to increase in the rank as that of matrix  A.

Hence the rank of A and Augment A will not remain same and hence the system will be inconsistent.

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The lines are parallel
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A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negati
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Answer:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

Step-by-step explanation:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

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What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)? −8 −4 33 49
alisha [4.7K]

Answer:

y - value of the vertex is 49.

Step-by-step explanation:

Given function is f(x) = -(x - 3)(x + 11)

f(x) = -(x² - 3x + 11x - 33)

     = -(x² + 8x - 33)

     = -(x² + 8x + 16 - 49)

     = -[(x + 4)² - 49]

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Comparing this equation with the vertex form of a quadratic function,

f(x) = -(x - h)² + k

Where (h, k) is the vertex of the function.

Vertex of the parabola is (-4, 49)

Therefore, y-value of the vertex is 49.

4 0
3 years ago
Read 2 more answers
A tree DOUBLES in height each year until it reached its maximum height over the course of 10 years. How many years did it take f
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Answer:

9 years

the tree doubles in height

we can make a model

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

128 x 2 = 256

256 x 2 = 512

512 x 2 = 1024

Let's say 1024 is the maximum height

half the maximum height is 1024 x 0.5 = 512 so it will take 9 years because it reached 512 on the 9th year

Step-by-step explanation:

8 0
3 years ago
1.<br> |x+5|=3<br><br> How do I get this again?
Tatiana [17]
-2 because 3-5 = -2
7 0
3 years ago
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