Answer:
15x^2 - 12x^3
Step-by-step explanation:
A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.
It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.
Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:
4*x + 4*3x + 4*height = 20
4x + 12x + 4h = 20
16x + 4h = 20
4h = 20 - 16x
h = 5 - 4x
Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.
x*3x*(5-4x)
3x^2(5-4x)
15x^2 - 12x^3
Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer
You can set up an equation based off of the information given:
x represents the unknown number
3/5x - 1 = 23
add 1 to both sides to isolate the 3/5x
3/5x = 24
divide both sides by 3/5 to solve for x
x = 120/3
120/3 can be simplified into 40
Final answer: x = 40
Answer:
(-3,3) Hope that this does help!
Answer:
going from left to right: 200, 400, 800
Step-by-step explanation:
25 x 2 = 50
50 x 2 = 100
100 x 2 = 200
200 x 2 = 400
400 x 2 = 800
just follow the pattern
Answer:
289
Step-by-step explanation:
We don't need 
at all for this.
We will need to know 
before continuing...
can be found by replacing 
in 
with 
:
-------------------
Now let's find ![[f(4)]^2](https://tex.z-dn.net/?f=%5Bf%284%29%5D%5E2)
:
![[17]^2](https://tex.z-dn.net/?f=%5B17%5D%5E2)
