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
It dropped by 37%
170 x .37= 62.9=$63
Answer: A
Step-by-step explanation:
In this equation, the largest exponent is odd, so the two ends are going in different directions. Since the leading coefficient is positive, the left side is going down, while the right side is going up.
As y approaches negative infinity (goes down), x approaches negative infinity (goes left).
Simplified: as the y value decreases, the x value decreases.
As y approaches infinity (goes up), x approaches infinity (goes right).
Simplified: as the y value increases, the x value increases.
Answer:
x ≥−42
Step-by-step explanation:
x/7 ≥−6
Multiply each side by 7
x/7 * ≥−6*7
x ≥−42
Answer:
Step-by-step explanation: -12÷4= -3