Answer:Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches. (Cubic inches can also be written in3.)
Answer:
x= 5/4 ; y= -7/4
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
3x+y=2;5x−y=8
Step: Solve3x+y=2for y:
3x+y+−3x=2+−3x(Add -3x to both sides)
y=−3x+2
Step: Substitute−3x+2foryin5x−y=8:
5x−y=8
5x−(−3x+2)=8
8x−2=8(Simplify both sides of the equation)
8x−2+2=8+2(Add 2 to both sides)
8x=10
8x
8
=
10
8
(Divide both sides by 8)
x=
5
4
Step: Substitute
5
4
forxiny=−3x+2:
y=−3x+2
y=−3(
5
4
)+2
y=
−7
4
(Simplify both sides of the equation)
Answer:
x=
5
4
and y=
−7
4
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
Answer:
y = 2 + ((-)6/5)x
Step-by-step explanation:
-6x-5y=-10
add 6x to both sides.
-5y = -10 +6x
divide both sides by -5
y = 2 - (6/5)x
Plug in 0 for x to get the y intercept:
f(0) = 2 - (6/5) (0)
y = 2
(0, 2) is the y intercept.
Do the same for values such as -1, -2, 1, and 2, etc.
Then graph it.
