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REY [17]
3 years ago
15

what ratio was used on a table that has two sides. on one side the numbers are 12,20,28,and 36. on the other side the numbers ar

e 3,5,7,and 9
Mathematics
1 answer:
ad-work [718]3 years ago
3 0
Ratio is used 4:1 for the table that has 2 sides
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Suppose has a solution. Explain why the solution is unique precisely when has only the trivial solution. Choose the correct answ
Margarita [4]

Complete question is;

Suppose Ax = b has a solution. Explain why the solution is unique precisely when Ax = 0 has only the trivial solution. Choose the correct answer.

A. Since Ax = b is inconsistent, its solution set is obtained by translating the solution set of Ax = 0. For Ax = b to be inconsistent, Ax = 0 has only the trivial solution.

B. Since Ax = b is consistent, its solution set is obtained by translating the solution set of Ax = 0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax = 0 is a single vector, and that happens if and only if Ax = 0 has only the trivial solution.

C. Since Ax = b is inconsistent, then the solution set of Ax = 0 is also inconsistent. The solution set of Ax = 0 is inconsistent if and only if Ax = 0 has only the trivial solution.

D. Since Ax = b is consistent, then the solution is unique if and only if there is at least one free variable in the corresponding system of equations. This happens if and only if the equation Ax = 0 has only the trivial solution.

Answer:

Option B: Since Ax = b is consistent, its solution set is obtained by translating the solution set of Ax = 0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax = 0 is a single vector, and that happens if and only if Ax = 0 has only the trivial solution

Step-by-step explanation:

There are different ways of explaining this but we will explain it algebraic ally.

If Ax = b has a solution, then it can be said to be unique if and only if every column of A will be a pivot column. Now, If every column of A will be a pivot column, then it means that there are no free variables, and thus the homogeneous equation will have only the trivial solution.

Also homogeneous equations are always constant.

Thus the correct option is Option B: Since Ax = b is consistent, its solution set is obtained by translating the solution set of Ax = 0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax = 0 is a single vector, and that happens if and only if Ax = 0 has only the trivial solution

5 0
3 years ago
A pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was c
Verdich [7]

3/4

Step-by-step explanation:

If you cut a whole pie into two you get two (2) ½ pieces

1 ÷ 2 = ½

When you cut the two ½ pieces into two you get four (4) ¼ pieces;

½ ÷ 2 = ¼

When you cut the four ¼ pieces into two you get 8 1/8 pieces;

¼ ÷ 2 = ¹/8

Therefore the whole pie at this point is made up of 8 ¹/8 pieces. When two (2) of these pieces are eaten we are left with 6 ¹/8 pieces;

8 – 2 = 6

The portion of the pie left therefore is;

6 * ¹/8 pieces

= ⁶/8

= ³/4

8 0
3 years ago
What does x is greater than 5 mean
kotegsom [21]

Answer:

That  x is any number  bigger that 5 so 6 plus

Step-by-step explanation:

3 0
3 years ago
As a motivational speaker, Bree speaks at school assemblies, charging a school
Oksi-84 [34.3K]

Answer:

<em>Bree spoke at 55 assemblies in this district.</em>

Step-by-step explanation:

Bree speaks at school assemblies charging a school district a total cost C modeled by the equation:

C(a) = 50a+1,500

Being a the number of assemblies attending the meeting.

It's given Bree charged the Escambia City School District $4,250  to speak at school assemblies.

We can find the number of assemblies by solving the equation:

50a+1,500=4,250

Subtracting 1,500:

50a=4,250-1,500=2,750

Dividing by 50;

a = 2,750 / 50=55

Bree spoke at 55 assemblies in this district.

4 0
3 years ago
Help me by please this is kinda hard for my child and I forgot it
lisabon 2012 [21]
It's 6!

When you multiply both the numerator and denominator by the same number, you will have an equivalent to the fraction you started with because the new fraction can be reduced to the original fraction.

2/3 = 4/6 = 6/9 = 8/12 = 10/15 = 12/15 etc.
4 0
3 years ago
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