I will only do the first-three. You can repost number 4.
Question 1
f(x) = -x^2 + 10x + 4
dy/dx = -2x + 10
Question 2
f(x) = 20 - x + 2
dy/dx = -1
Question 3
f(x) = ex^4 - 2x^2
dy/dx = e•4x^3 + x^4 - 4x
dy/dx = 4ex^3 + x^4 - 4x
Answer:
The y-intercept is y = 2
Step-by-step explanation:
A linear function has the following format:

In which m is the slope and b is the y-intercept, which is the value of y when x = 0.
We are given these three points:
(-28, -54)
(-21, -40)
(-14, -26)
We use two of them to build a system, to find values for m and b.
(-28, -54)
This means that when 
So




(-21, -40)
This means that when 
So








The y-intercept is y = 2
Answer:
-3
Step-by-step explanation:
as shown in the picture
Answer:
5/75 in my opinion. 75 is total of hot drink
Step-by-step explanation:
Answer:
No solutions.
Step-by-step explanation:
If you normalize the second one by dividing by 2, you get:
y = 5/2x+4.
Now you see that both have the same slope (5/2). They are parallel lines that never intersect.