Answer:
f(g(5)) = 181/16
Step-by-step explanation:
f(x)=x2-3x+3
g(x)=x-1/4
so we have:
f(g(x)) = (x-1/4)2-3(x-1/4)+3
f(g(5)) = (5-1/4)2 - 3(5-1/4)+3
f(g(5)) = (19/4)2 -3(19/4) +3
f(g(5)) = 361/16 - 57/4 +3
f(g(5)) = 181/16
The length of a side of a pentagon is 69 units.
Since the hexagon on the left has 6 sides, and all of the sides have an equal length, if you multiply the number of sides(6) by the length of one side (3x+5) you will get the perimeter of the hexagon, 6(3x+5)
This is the same for the pentagon as well, since the pentagon on the right has 5 sides, and all of the sides have an equal length, if you multiply the number of sides(5) by the length of one side (4x-1) you will get the perimeter of the pentagon, 5(4x-1)
Now we have the equation for the perimeter of the hexagon, 6(3x+5), and the pentagon 5(4x-1). Since we know that the perimeters are the same length for each shape, we can set these two formulas equal to each other
Here is how I set up my equation
6(3x+5)=5(4x-1)
Now that you have the equation, you must solve for x, which I will demonstrate the steps down below
6(3x+5)=5(4x-1)
18x+30=20x-5 (subtract 18x on both sides)
30=2x-5 (subtract -5 on both sides)
35=2x (divide 2 on each side)
17.5=x
Now that you have determined that x is 17.5, all that is left to do is plug in 17.5 into the equation that solves for one side of the pentagon(4x-1) to get the length of a side of a pentagon, which is your answer.
Here is the work if needed
4(17.5)-1
70-1
69
The length of a side of a pentagon is 69 units.
I hope this helped!
Leave a comment on my answer if you have any questions on what I said here or need any more help with math.
I believe they would be going 60mph, since 40min has elapsed and they've gone 40mi in that time.
Answer:
No
Step-by-step explanation:
Cause it just doesnt not making is sence
Step-by-step explanation:
the answer is
a= 2
b=3
c= 8
