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 span
, 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
Options B, C, E, and F are correct.
The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.
<h3>What is the total cost?</h3>
Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.
Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,
He gets 6000 thousand extra after increment. Her annual income is,
Before accepting the position, Janice wants to understand her potential cost of living.
- She estimates that rent will be $1,500 per month. Thus, the
- She will have to take the train to and from work, which will be $3.50 round trip daily.
- Her food cost will be $75 per week.
Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,
Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.
Learn more about the total cost here;
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What divided by 3 equals 24? In other words, you have an unknown number (X), and then if you divide that X by 3 you get 24. Then what is that X?
The equation to calculate what divided by 3 equals 24 is as follows:
X/3 = 24
Where X is the answer. When we solve the equation by multiplying each side by 3, you get get:
X = 72
Therefore, the answer to what divided by 3 equals 24 is 72.
Hope that helps
Answer:
C
Step-by-step explanation:
The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.
x is the hypotenuse (side opposite of 90 degree angle).
We can use the pythagorean theorem to find x. The pythagorean theorem tells us to square each leg (height and base) of the triangle and add it. It should be equal to the hypotenuse square.
For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:
<em>Now we can use property of radical 
to simplify:</em>
Correct answer is C
Let number be x
2x - 5 = 3
2x = 3 + 5
x = 8 / 2
= 4
The number is 4
