The value of F(3) = 27.
Step-by-step explanation:
Step 1:
F(x) is dependent on the value of x.
So x is independent while F(x) is dependent on x i.e. the value of F(x) depends on the value of x.
Step 2:
F(x) = 
, if we have the x's value we can calculate the F(x)'s value.
Here the value of x is given as 3 so F(x) when x equals 3 can be calculated.
So F(3) = 27.
Answer:
38
Step-by-step explanation:
We can express the 8th term as x and the 12th term as y.
This would mean that 8x=12y
Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y
Now we can use this to substitute y with x in the first equation. This would give us:
8x=12(x-8)
Which we can expand and solve:
8x=12x-96
-4x=-96
Therefore x=24
This means the 8th term is 24 and the 12th term is 16 (24-8).
To test if this is correct we can do:
8x24=12x16
Which indeed are equal, both sides multiply to 192.
Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)
24+14=38.
The first term is 38.
Hope this helped!
4725 - 2250, the increase is 2475.
now if we take 2250 to be the 100%, what is 2475 off of it in percentage?
Answer: height = 17.5cm
Step-by-step explanation: Peter mixes blue and yellow paint in the ratio 2:3, which means:
x = 12.6L
The container is full with the two paints, so total volume:
V = 12.6 + 8.4
V = 21L
Knowing that 1L = 1dm³ and sides of cuboid is measure in cm:
V = 21dm³ = 21000cm³
Volume of a cuboid is calculated as:
V = width*length*height
Height of the container is
height = 
height = 
height = 17.5cm
The height of the container is 17.5cm.
Before you will sum up the following equation, first you must multiply the first equation by two and came up with 16x+14y=78 and then add it to the second equation which is 4x-14y=-68 and the remaining variable is 20x=10 then get the value of X and the value is 1/2 or 0.5. I hope you are satisfied with my answer
