All categories

2 years ago

If a linear system has four equations and seven variables, then it must have infinitely many solutions. True or False

Mathematics

1 answer:

Savatey [412]2 years ago

7 0

Answer:

The statement is False.

Step-by-step explanation:

Consider the provided information.

If a linear system has four equations and seven variables, then it must have infinitely many solutions.

We need to determine the above statement is true or false.

The above statement is false, it could be inconsistent, and therefore have no solutions,

For example:

$x_1+x_2+x_3+x_4 +x_5+x_6+x_7=0\\x_1+x_2+x_3 =1\\x_4 +x_5 =1\\x_6+ x_7=1$

Hence, there is no solution.

You might be interested in

There are 4500 people in Springfield. 1/3 of the population of Springfield are under the age of 21. how many people are under 21

Rama09 [41]

Answer:

$1,500\ people$

Step-by-step explanation:

we know that

There are $4,500$ people in Springfield. $1/3$ of the population of Springfield are under the age of $21$

To calculate how many people are under $21$ in Springfield

Multiply $4,500$ by $1/3$

$4,500*(1/3)=1,500\ people$

4 0

2 years ago

a spinner with 8 equally sized slices is shown below. The daily is spun and stops on a slice at random. what are the odds in fav

k0ka [10]

Answer:

Logically it would be 1/8 chance but since I don't know what color the all are, It's hard to tell

Step-by-step explanation:

3 0

2 years ago

Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply. 3 =

Galina-37 [17]

B)3 = 5x2 – 10x
D)8 = 5(x2 – 2x + 1)
G) = (x – 1)2

4 0

2 years ago

Read 2 more answers

Graph the six terms of a finite series where a1 = 5 and r = 1.25. I looked through my lessons and honestly do not get how to do

lorasvet [3.4K]

The sum of a geometric sequence is:

s(n)=a(1-r^n)/(1-r)

The sequence rule for a geometric sequence is:

a(n)=ar^(n-1)

Not sure what they mean by "graph the six terms"

The sum of the first six terms is in this case:

s(6)=5(1-1.25^6)/(1-1.25)

s(6)=56.2939453125

The first six terms in sequence is in this case:

a(n)=5(1.25)^(n-1) so

5, 6.25, 7.8125, 9.765625, 12.20703125, 15.2587890625

8 0

2 years ago

The following data represent the number of grams of fat in breakfast meals offered at a local fast food restaurant. (a) Constru

rewona [7]

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the question some data is missing, which is defined in the attached file please find it.

The table for point a:

plot for the Stem-and-leaf:

0 3 4 5 7 4

1 2 2 4 4 5 7 7 7

2 0 3 4 4 5 8 6

3 3 4 7 9 4

4 1

In point b:

Its distributed skewed is correct because in its points 1 is a tail on its right side.

please find the attached file.

8 0

2 years ago