Answer: Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.
Option c. The line will shift vertically down by 4 tons.
Solution:
Total weight of a coal car: f(x)=x+30
How will the graph of this function change if the coal car weight is changed to 26 tons?
The total weight of the coal car would be: g(x)=x+26
f(x)=x+30
30=26+4
f(x)=x+26+4
g(x)=x+26
f(x)=g(x)+4
Subtracting 4 both sides of the equation:
f(x)-4=g(x)+4-4
f(x)-4=g(x)
g(x)=f(x)-4
Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.
Answer:
8 mph
Step-by-step explanation:
The equation for average speed is:

Let's start by finding the distance for each animal:


Now, we can find the average speed:

8 mph
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
Left triangle: it has two congruent legs because has an angle of 45 degrees
AB =
cm
the triangle on the the right is half on an equilateral one
BC = 12 cm
CH = 6√3 cm
AC= (6 + 6√3) cm
2p = 6 + 6√3 + 12 + 6√2 = 18 + 6√3 + 6√2 = 6(3 + √3 + √2) cm
Area = [6(1+√3) * 6]/2 = 18(1+√3) cm^2