Answer:
The middle one because there is only 1 value of y for every value of x.
Answer:
20/4
Step-by-step explanation:
Because that would mean 20 divided by 4 which wouldn't accumulate to 80
Answer:
Slope of the tangent line at x=-1

Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given function
y = f(x) = e ˣ⁻⁴ ...(i)
Differentiating equation (i) with respective to 'x' , we get


Slope of the tangent line

Answer:
4 feet 2 inches
Step-by-step explanation:
Total Ribbon = 75 feet
Total Students = 18
If equally cut, each student will get the total divided by number of students, that would be:
75/18
That would be:
feet per student
Now, we need the fractional part as inches.
We know 12 inches is 1 feet, so 1/6th feet is:

The fractional part is "2 inches"
Thus,
each piece would be <u>4 feet 2 inches</u>
Answer:
1. Consistent independent.
2. Coincident
3. Inconsistent.
Step-by-step explanation:
4x + y = 8
x + 3y = 8 Multiply this equation by -4:
-4x - 12y = -32
Adding this to the first equation:
-11y = -24 giving y = -24/-11 = 2.18
Substituting in the first second equation:
x + 3(2.18) = 8 giving x = 1.46.
So this system of equations has roots (1.46, 2.18) and is consistent independent.
2.
-4x + 6y = -2
2x - 3y = 1 Multiply this by -2:
-4x + 6y = -2
So these 2 equations are the same and will give the same graph on the coordinate plane, and so has:
Infinite solutions and is coincident.
3.
5x - 2y = 4
5x - 2y = 6
We can see immediately that this system of equations has NO Solutions.
If we subtract the 2 equations we get:
0 = -2 which is of course, absurd.
Classification Inconsistent.