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LuckyWell [14K]
3 years ago
8

The augmented matrix of a consistent system of five equa- tions in seven unknowns has rank equal to three. How many parameters a

re needed to specify all solutions?
Mathematics
1 answer:
ale4655 [162]3 years ago
6 0

Answer:

4 parameters are necessary to specify all solutions and correspond to the number of free variables of the system.

Step-by-step explanation:

Remember that the number of free variables of a system is equal to m-rank(A) where m is the number of unknowns variables and A is the matrix of the system.

Since the system is consistent and the rank of the matrix is 3 then echelon form of the augmented matrix has two rows of zeros.

Then m-rank(A)=7-3=4.

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frez [133]

joke 1. 2 hunters were out in the woods right while they were following fresh tracks from a big elk one of the hunters drop to the ground and his eyes roll backwards so the other hunter whips out his phone and calls the hospital "I THINK MY FRIEND IS DEAD!" he told the doctor the doctor told him " Calm down let's make sure he's dead. so there is a moment of silence the you here a big pop the hunter says "NOW WHAT!"     (he shot his friend)

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brainliest for being funny?

3 0
2 years ago
help me on the following, in the picture IK U WANT THE POINTS JUST HELLPPP , ONLY IF UKNOW THE ANSWER/ NO LINKS and swrong answe
earnstyle [38]

Answer:

any coordinate outside the parabola is a reasonable answer.

Step-by-step explanation:

test the solution (0, 0) and if if that number is greater than 0 then the rest of the points outside on the inside are.

x = 0

y = 0

(0)^2 - 2(0) - 3 = -3

-3 is less than 0 so (0, 0) is not a possibility so any coordinate outside the parabola is a reasonable answer.

3 0
3 years ago
A box has a volume of 546cm3 and a surface area of 422cm2. What are the Length, Width and Height?
Klio2033 [76]
We know that the formula for the volume of a box is:

V =lwh

Where:
l = length
w = width
h = height

The formula of the surface area of a box is:
SA=2(lw+lh+wh)

Based on the given we know the following:
546cm^{3} =lwh

and

422cm^{2}=2(lw+lh+wh)

If we factor out the given volume, you can come up with 3 numbers that will satisfy the surface area formula:

546=6*7*13

Let:
l = 6cm
w = 7cm
h = 13cm
     
Now let's try this on the surface area formula:
422cm^{2}=2(lw+lh+wh)
422cm^{2}=2((6cm*7cm)+(6cm*13cm)+(7cm*13cm))
422cm^{2}=2(42cm^{2}+79cm^{2}+91cm^{2})
422cm^{2}=2(211cm^{2})
422cm^{2}=422cm^{2}

The answer is then:
l = 6cm
w = 7cm
h = 13cm

Any order would be fine.
4 0
3 years ago
Ronald is calculating the time required to fill the swimming pool at school. He found that it takes 8 minutes to fill the swimmi
tester [92]

Answer:

<u>The rate the swimming pool is filled is 9 gallons of water per minute</u>

Step-by-step explanation:

Let's review the information provided by Ronald to us to help him to find the answer to the question:

Time it takes to fill the swimming pool = 8 minutes

Amount of water the swimming pool can hold = 72 gallons

2. At what rate does the swimming pool fill, in gallons per minute?

Rate the swimming pool is filled = Amount of water the swimming pool can hold /Time it takes to fill the swimming pool

Replacing with the real values, we have:

Rate the swimming pool is filled = 72/8 = 9 gallons of water per minute

4 0
2 years ago
PLEASE HELP PLEASE PLEASE
sp2606 [1]

Answer:

14.8

Step-by-step explanation:

By the Pythagorean theorem, ...

... x² = 7² + 13² = 218

... x = √218 ≈ 14.7648 ≈ 14.8

4 0
2 years ago
Read 2 more answers
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