Answer:
9
Step-by-step explanation:
The first thing we shall be doing here is substituting f(x) into g(x).
Mathematically, that would be written as g(f(x))
= 2(4x-3)-1 = 8x -6 -1 = 8x - 7
Now we shall find g(f(2)) by substituting 2 into the expression above.
Mathematically, that would be 8(2) -7 = 16-7 = 9
Answer:
X= (7;-2)
Step-by-step explanation:
X2+5X-14
(X-7)(X+2)
X= 7;-2
Answer:
28/3
Step-by-step explanation:
An interesting question! Let's take a look at the rectangular prism first.
[Rectangular Prism]
We know that the formula for the volume of a rectangular prism is:
volume = length * width * height
or more simply
V = L*W*H
All we know is that the volume is 210 cubic meters. We can choose whatever we want for the dimensions to force it to work! We're free to do what we want!
210 = L*W*H
I like 10, that's a nice number. Let's make L = 10.
210 = 10*W*H
Hmm... but now I need W*H to be 21 (think about it, make sure you get why I say that). Well, how about W = 7 and H = 3? That should work.
210 = 10*7*3
It checks! Possible dimensions for the rectangular prism are L = 10 meters, W = 7 meters, and H = 3 meters. There are many other choices of course, but this is a possible choice.
[Triangular Prism]
Same idea, different formula. For a triangular prism, the volume is
V = 1/2 * L*W*H
But the volume is still 210 cubic meters, so we just have
210 = 1/2 * L*W*H
So, one of our dimensions is going to be cut in half. Why don't we just double L to make up for it?
210 = 1/2*(20)*W*H
And we can leave W and H the same
210 = 1/2*20*7*3
Check that it works! A possible choice is L = 20 meters, W = 7 meters and H = 3 meters.
We're done!
