Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
First, we could determine the slope (<em>m</em>). The slope is the 
of the line, or the number of units it travels up over the number of units it travels to the right.
Notice how each consecutive point moves up 1 unit and right 1 unit. This makes the slope of the line 1/1, which is just 1:
Now, to find the y-intercept, we must identify the value of y when the line crosses the y-axis.
The line crosses the y-axis at y=3, so therefore, the y-intercept is 3:
I hope this helps!
Answer:
See explaination
Step-by-step explanation:
To convert a second-order differential equation into a system of linear differential equation, we have to write y'' as x', for some variable x.
please kindly see attachment for the step by step solution of the given problem.
Answer: 8/33
Step-by-step explanation:
So the probability of picking a purple marble is 8/12, after that there are 11 marbles left in the box
Now the probability of picking a green marble without placing the first marble back is 4/11
So the probability of doing both is 8/12 x 4/11 = 8/33
Answer:
Step-by-step explanation:
We know that the break even point is the point where the cost and the revenue equations intersect. So the break even point in this situation is:
C= R
<=> 20/3x+50 = 10x (with x > 0 and x is a whole number)
<=> 
-50x -20 = 0
<=> x ≈ 5
If the company sells more than 5 items, it will have benefit
If the company sells less than 5 items, it will lose
Answer:
The distance she bikes is 11/6 times as much as the distance she runs.
Step-by-step explanation:
Alex bikes 2.75 miles, runs 1.5 miles. The distance she bikes is 2.75/1.5 times as much as the distance she runs.
The distance she bikes is 11/6 times as much as the distance she runs.
