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Dmitry [639]
3 years ago
9

Which of the following statements are true?

Mathematics
1 answer:
lana [24]3 years ago
7 0

Answer:

B, C, E, & F

Step-by-step explanation:

Option A is incorrect because the equation Ax = b is referred to as a matrix equation, not a vector equation.

Option B is correct. If Ax = b has a solution, vector b will a linear combination of columns of matrix A.

Option C is correct. In a matrix equation, product Ax when defined, is a sum of products.

Option D is incorrect. If an augmented matrix [Ab] had a pivot position in every row, there could be a pivot in the last column which would make it inconsistent.

Option E is correct. If the columns of an m×n matrix A spanR^m, then the equation Ax=b is consistent for each b in

Option F is correct. IfA is an m x n matrix whose columns do not span, then the equation Ax = b is inconsistent for some b in R^m

Options B, C, E, and F are correct.

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Collins has a part-time job as a dog walker. The table below shows the amount of money Collins earned for different numbers of h
kondor19780726 [428]

Answer:

See below.

Step-by-step explanation:

Part A:

For Dog walking, he earns $30 for 5 hours of work.

He earns $36 for 6 hours of work.

$30/5 hours = $6/hour

$36/6 hours = $6/hour

He earns $6/hour dog walking.

For 8 hours, he earns 8 hours * $6/hour = $48

To earn $66, he works 66/6 = 11 hours.

5 30

6 36

8 48

11 66

Part B:

He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.

Table for yard work

Hours     Money

5             $35

6             $42

8             $56

Part C:

For 5 hours, he earns $35 for yard work and $30 as a dog walker.

$35 - $30 = $5

3 0
3 years ago
Need help with math. I will give brainliest!!!!!!
Mice21 [21]

Answer:

~~

Step-by-step explanation:

Ok so first 2.4 will have to be changed to 24 which means we multiplied it by ten making it 24/10 since it is tan it is opposite side/ adjacent side so your one of your legs will be 24 and one will be 10. Now we just plug that into the Pythagorean Theorem to find the hypotenuse and we get 26. The area is 24b10/2=120 the area is 120.

Leg a= 24

Leg b= 10

Hypotenuse=26

Area=120  

Read more on Brainly.com - brainly.com/question/12450752#readmore

5 0
3 years ago
5x-8=2x+25 help help
Maurinko [17]
The answer would be x=11
7 0
3 years ago
22. A charter bus company charges a flat fee of $175, plus $2.50 per mile (one-way distance) for a bus. If the band paid exactly
Cerrena [4.2K]

Answer:

180 miles

Step-by-step explanation:

625 - 175= 450

450 divided by 2.50 = 180

7 0
2 years ago
The hypotenuse of a right triangle is 26 millimeters. One leg of the right triangle is 10 millimeters. What is the length of the
Daniel [21]
<span>Hypotenuse = 26 mm </span>

1st Leg        = 10 mm

Other Leg = x.

By Pythagoras Theorem:

x² + 10² = 26²

<span>x² + 100 = 676 </span>

x² = 676 - 100

x² = 576

x = √576

x = 24

<span>The other leg is 24 mm</span>
3 0
3 years ago
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