Here is the correct order of the step:
Identify: Anna's time is the unknown
Strategize : let x = Anna's time
Set up : 7(40) = x(50)
Solve: x = 5.6
Check: 7(40) = 5.6(50)
<h3>What is Anna's time?</h3>
The first step is to determine the distance Allen travelled:
Distance = average speed x time
40 x 7 = 280 miles
The second step is to determine the time it took Anna to travel 280 miles.
Time = distance / average speed
280 / 50 = 5.6 hours
To learn more about average speed, please check: brainly.com/question/21734785
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Answer:
The y-intercept is (0,-12).
Step-by-step explanation:
Given equation is 
.
Now question says to find the y-intercept of the given parabola .
We know that y-intercept means the y-value when x-value equals 0
so let's plug x=0 into given equation then solve that for y.
Hence the y-intercept is (0,-12).
Answer:
Jessica will have saved $175, and Ron will have saved $165.
Step-by-step explanation:
Jessica starts out with $50. She adds $25 each week, and it's asking how much money she would have in 5 weeks. So, you multiply $25 by 5 to get $125. Then, you add $50 to that to get $175. Same thing for Ron. Multiply $25 by 5 to get $125, but this time add $40 to it to get $165.
Answer:
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Step-by-step explanation:
It is given that the coefficient of the matrix of a linear equation has a pivot position in every row.
It is provided by the Existence and Uniqueness theorem that linear system is said to be consistent when only the column in the rightmost of the matrix which is augmented is not a pivot column.
When the linear system is considered consistent, then every solution set consists of either unique solution where there will be no any variables which are free or infinitely many solutions, when there is at least one free variable. This explains why the system is consistent.
For any m x n augmented matrix of any system, if its co-efficient matrix has a pivot position in every row, then there will never be a row of the form [0 .... 0 b].
Answer:
Step-by-step explanation:
- (3⁴)⁻² * (3⁵)³ =
- 3⁴⁽⁻²⁾*3⁵⁽³⁾ =
- 3⁻⁸*3¹⁵ =
- 3⁻⁸⁺¹⁵ =
- 3⁷
Correct option is B. 3⁷
