Answer:
Full question attached below.
Yes, the system of equations on line 4 has the same solution set as the system of equations on line 1
Step-by-step explanation:
There is no difference between the systems of line 1 and 4
1st system
5x + 3y = 14
4x - 2y = -2
4th system
10x + 6y = 28
12x - 6y = -6
In the fourth system, we factor number 2 from the first line, and number 3 from the second line
4th system
2[5x + 3y] = 2[14]
3[4x - 2y] = 3[-2]
If we simplify,
4th system
[5x + 3y] = [14]
[4x - 2y] = [-2]
We get the same system as the 1st
Therefore, the solution is the same.
Answer:
5/8 x 1/2
Step-by-step explanation:
To change division into multiplication, you must find the reciprocal by flipping the second fraction (note that if it is a whole number, as in this case, it is technically over 1).
(5/8)/(2/1) = (5/8)(1/2)
d. is your answer.
~
Answer:
x = 1/4, y = 1/2
Step-by-step explanation:
First we can solve for y in each equation.
3x - 1/4 = y
y = 1/2(x) + 3/8
This means 3x - 1/4 = 1/2(x) + 3/8.
Simplifying, we get 5/2(x) = 5/8. This means x = 1/4. Now, we plug in x = 1/4 into the first equation to get
3(1/4) - 1/4 = y
3/4 - 1/4 = y
y = 2/4 = 1/2
The average rate of change over the interval is 2/9
<h3>How to determine the average rate of change?</h3>
The interval is given as:
-4 ≤ x ≤ 5
From the table, we have:
f(5) = 4
f(-4) = 2
The average rate of change is then calculated as:

This gives

Evaluate

Hence, the average rate of change over the interval is 2/9
Read more about average rate of change at:
brainly.com/question/23715190
#SPJ1